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Transcripción

1 !! "#$! "%&' "&# ( &$ )*!)!,!"-,.//0

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3 ! - "-! "#$! '&2& 3" 4 -.//5

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5 TO THE KING! " #$ % &! %

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7 ! RESUMEN &-&#-" '#3-6 7 " 3# 8 2 & &* *&6 9 - :' &6-&#-;%& "" *!&# & %&"6 & *&, &* *&, : & -2!6 7' &%&!&&*#'<$ *3- - 2& 76 & # "& 76 -&# # 7 #: &- ""!&# & &* *&6 -&# 7 7 " : "# "= "9 :"#!& &&7"6 "# "$% & 3-, &*# *&,)" &, >*, *&

8

9 ! NDICE GENERAL &&'() * *$ ) *$ & *,) * & * -"*& *. -"*&/& &) * ? @ @6? A AB 656)C "* *.2 66) /A @6)C "* * ) A 6.6 ) AB 646 ) /D 6@ )C AB -"*4 5 * ) @5 6.6) )> E) @ 6@6F @ 606)C D. -"*8&9,& *0.,)4, *0: / *0.:

10

11 3 NDICE DE TABLAS -63# #G -.6& & 2"0 -43# #G2"B B -@3# #' G2"/ # #H & & 2" B& & 2" / -A& & 2" D& & 2" B -/3# # 2"A @/ -3# # 2"A @/ -.& & 2"A @/ -43 *# / -@# *# *& @ -5 " *# @ -B *# )&* *& A& &*& D# D -./ *# #*& B/ -. *# )&* *& B -..& &*& B. -.4# B@ -.@ *# *& B5 -.0 *# )#&* *& BB -.5& &*& BB -.B# A/ -.A *# #*& A -.D *# )&* *& A. -4/& &*& A. -4# A0-4. *# #*& A5-44 *# )#&* A5-4@& &*& A5-40# D/ -45 *# #*& D.

12 3-4B *# )#&* D4-4A& &*& D4-4D# DB *# #*& DA *# )#&* DD &*& DD *# #*& /4 *# )#&* &*& *# #*& /A *# )#&* /D -0/& &*& /D -0# *# *& " *# )#&* & &*& # D -0B *# #*& / -0A *# )#&* / -0D& &*& /# *# #*& *# )#&* & &*& B -50 *# #*& / -55 *# )#&* B& &*& A#":& -5D *# #*& B/ *# )#&* B& &*& B.&" B4"= %&" "3IJ&* *& B. -B0- "= ":IJ BD -B5)"&* -& A0 -BB)"&* ) D.

13 3 NDICE DE FIGURAS '&#( '&.&* N A '&4&* N D " KLM3" "" N / '&0&* 7KLM3N,K-LM) N / '&5&* KL,K-L B5 '&B&* KL,K-L BA '&A&* KL,K-L O A '&D&* KL! "! # A4 '&/) *& $- &"- /6B / '&) *&%&- &"-/6B '&.) *&'-( &"-/6B '&4&* &"-/ '&@9"*&KL) )*,K-L)*),KL,K L&,,KL&&),:K*L ) '&09"*&KLPP46K-L3P4@P: D '&59"*&KLPP*6K-L3QQQ:, *&-3R: B@ '&B9"*&KLPP46K-L'&P: A '&A9"*&KL"P*6K-LPP0// A0 '&D9"*&KL) )*:K-L)*) D/ '&./9"*&KL) )&-:K-L..., * -/ DB

14 3 '&.9"*&KLPP4:K-L'&P: /4 '&..9"*&KL"P*:K-LPP0// /A '&.49"*&KL) )*,K-L)*),KL,K L&,,KL&&),,:K*L ) @ '&.@9"*&KL) )*:K-L)*) D '&.09"*&KL) )&-:K-L..., * -/ '&.59"*&KL) )*:K-L) / '&.B9"*&KL )-:K-L) )0$$ '&.A%&&) '&.D #&"I'%&" '&4/ #! I'%&" A '&4 #&"I! %&" B/ '&4. #&"I' "3IJ B4 '&44 #! I' "3IJ B5 '&4@ #&"I! "3IJ BA '&40 #&"I' ":IJ A/ '&45 #! I' ":IJ A. '&4B #! I&" ":IJ A@ '&4A #&"I')"&* -& A5 '&4D #! I')"&* -& AD '&@/ #&"I! )"&* -& D '&@ #&"I')"&* ) D4 '&@. #! I')"&* ) D5 '&@4 #&"I! )"&* ) DA

15 3 LISTA DE SMBOLOS ST SSTT ' ' ,6 ' { < >, =,,, }, - Ã ã 28-68: ; <6 6 8 # 6 - = Ã ( ã ) 6- ã,ã -. >?, (- ( ) ) AB6, -6-3@0@C 2?

16 3! Ö 2 29!DE Ö -, 2 - D- ( ã ) A ã ( ) A - ( ) A ( Ø ) A,23- Ø ( ) í 4,26 ñ?& ñ F8F ñ ñ >GH ñ ñ F8F ñ ñ, ñ., >G H I ñ - ( ), ( ) ( ) - 23 I $I = Ó GF& á á > ' (- ) 0 K EEE á#23- á# 23- J AB6 > = ' > 6 >

17 3!, 2 ( ), <66= > {,, } <66= &!&HU (- ) 3 >2 26, - E (- ) ( ) - í > = ( ) ( ) ( ) , - E 268 -= ( ) ( ) ( ) - í 2 -,.,, A, 2 - { } [/, ] E = { } ( ) ( Ø) 239!23- Ø - <6 [ /,] , -.,, A A

18 3! &&( Ø) 23- Ø ' '>? G > 4 G,.,, 4 G5 * I (- ( )) J, ( ) 23 I $C$0 > I * I (- ( )), 5- ( ) - 23 I 0ICE B65E 3 %B 4 G 4 G 5 -= 9 8L , >G5 B8 >G5 & &B >G55- <66=9 3 ( ñ, ñ. ) 9, ñ ñ. ( I ) 3,5I <66=5 3 ( ñ, ñ. ) 5, ñ ñ. ( I ) 3,5I 3 >G >

19 3! MH (-) ' MN >G=5B8 >G=5& AB6 MH = ' ' 3 M, N' ( I ) IE23 3 IE - ( I ) - IE , IE ( H) 6 H /D 63DHM 366 D 2-- DU 62-- D 6 D ( I, ) D D V D ( I ) D, D D D I, D 6 ( ) 6-- :DI ; 4 R 23 >G H / R, [,) H H 0 H K EEEH * H H6 6 H 2 8, H, H = H E = { }

20 3! H H H% 3 H > 6 M, <6H E 4 - ( Ö) ! D Ö ( ) 23-6-! D- ( I ) 0 K 23 I > H6 -:DI ; -:DI ; * -: D 0 K ; -: D 0 K,, D D- DK D* D#NN O' DE E 6D 6-9DL0NNK 9DL0NNN 9DL0NNN > 63 <6 & I <66= 3 (- ( )) J,9 6 - ( ) 23 I 0 C$$ > I

21 & I (- ( )) 9, ( ) I $ I = E AB69E ( Ø) 23- Ø 7 [ /,],&&" (/, ] I I I8 -- IU 6I -66 D ( I, ) I I 23,., I B >G 4

22

23 Captulo I. INTRODUCCIN &", ( ' *&( M&"(N *"#6,-&"" *# &%& "2!("73# '&2&:"&"6,,! &3-%&"&&3 %&"%&!& *W..XW.4XW@DXWB@X6 & 3#:"&# 9": '<$ &W.XW4DXW55XW5DX62"& %&"6 ; ".%<<$" = 7, - 5 3E P & -E 9 B,3E -6 :7& 8 J,6;,&E 2"3MN:MN* &&6"7 3 &&'* M N& "&: *&& &$-%& &!' ' & $ 6), $ 2& *& W/.X&:&" &,&"9"'<$6 3&'! %&" && & 3 * W..XWDXW0.XW04XWA0X6 & ' %&" %&!& &* W54XW.AX6 Y &

24 . &* '<$%& & 3# &* #'WD5XW/X6 &, 7 & &*# '<$ *3--2&7W54XWA@X,"%&9 2".:46 ; "6%<<$"=!">- 6 8, 309 8B B 9,6EJ 5 :Q29 & 5 8&, 36, R;E 2". # M 3,N& ' &63# '<$ M 5 N & - "%& * # M 3,N,, M 5 N & &* '<$6 &*# - 2& M - 8&,& N%&&2&76 &*, *&, " &*#!6, &* - ;" *%&*& #6 ; "0%<<$"=!">-, 3 0 -, :7 & 8-5 =, ;E 2" 4 & *" & &* '<$ - *&" &2&7W5XW54X6 * &*#!, # &*, " &*# (6 %& &*# -&""* M ("N *6

25 4 Bases de Datos Clsicas y el Problema de Rigidez &",":$ "8 2 K8, '9 M- 8 '" :"NL - 8 WABX6 W4BX & " DB/6 "" - #,! $ 2&6 &! '&2 & - - 6'&2-&2& '- " F'-:R&3##' %&" " 7& W@XW4AXWABX6&79"8 7*8 %&&:'2 &-#'63,'&2 &"7-7 > KM&& >&: '&'NL W./XWABX6 '&2!& " ">.:>4W0.XW04XW5/X6 8 7 " 3 %&"' &, & &* -" ' ( WAXW4/XW4DXW@@XW@DXW0DX6) & -",!!7 2"6&"7,%&" -3 &" &"73" &':, & 3 *"#'& * &&6" %&" && 2": 32"@,& >6 ; "7%""?@-A 8 3 0=:7&,6; - 29 E -:7& $6 58 J9 SE,6;E 8 & J,6 8 D 5= 2?<HM%M?O%HT$> T

26 @ ' ( "7 &*& "WB@XWA0X )"",: #&';* &&6 2"@, :"& %& * : - Z " ' * &&, $, ( :& '!"7 & 62"0&-"6 ; "3% ""?? 0 66%M?E, = 2?<HM%M?O%HT$> T 5? K,8& G9 8E 9 &#".*!""!'&"; "3! U! 0 0 *$ A2 $ V$ A $ ' $ H E & WE *$? E0 * &#"6*""""; "3! U! A $ ' $ H E

27 0 " &!, 2" 0, # &%& 7 ' - 6 && - 2& & ":&*6":& -&M"2N&6 '& &-$',%&& - &M*N,&& "7 &,'; &&62"5"&-"6-: 2", $ &"7-%&9& &":%& *,& 9"2&6,& " $!$,&:& -&!-" &&6 ; "B%,""? 2 J, 66%M?? 0 3E 8? K & - &? - G? 0!E 9 - E E -" ' (&'& #'W@@X6 $ &" *# &' &*3-K%&!& 9""L6 Conjuntos Difusos y Consultas Flexibles [ W/.X &2$ 2&*&D506"!# &: *& " " 6 $, 7 ", "(# &( # ' " 36 & # - ", "7 7 8 "7, *#, " ):)" "7', '*," *"#,"(#,7,:" 6

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email protected]&# *&W0BX6 ]'!'! " &* '<$, WDAX: WDDX!& & '& & 6-2 " *"(# : & &* *& ^JW0/X 9 W54X,:&_\W5@XW50X6

29 B -2 7 &*3- " &*, &! &*#&2&7: #-2 &* *&6, *"MDI N, D&&* *&,I&2&7,:& # *&6 Contexto del trabajo: SQLf ) -2 * " & *&' WB4X6 & ",*&( '&6WXW.XW4X,6WDXW./XW4/XW4X,\(:J 6W5.X,W55X,J2"6WB.XW//X,) 6WBBX,"6W@BXWAAXWADX,: 6W5DXWB/XWB0X6-2-$* & *&6,& -2 &J6W45X:'W@0XW@5X6 # & " 3-26 & >*WDX,& 3# > *&Z%& &" 3#"7" >- 2& *&W./XWB4XWA0X6"",9 ;3# >%&"&*#!K" 2".L6 & &##&&*#( K" 2" 4L6)" &*# - %&&* *,&' *%&*&6Y -2 \:(:J 6W5XW5.X, : 6W@[email protected] ), 6WXWDXW.0XW.BX"-9 &*#6-2 -"!&& *&"- &*#!:(6 9 W54X "#%&,! 3 ' *# &*, "7 & ) "# ]'WD0XZ%& - MD I N & 3& &-2&7@ ;6-2 &" #6 9 W54X "-9 "#%& #& 3 "& ' &'WA.X66-2 "7 WDXW.4XW.0XW.5XW.BXW.AX:!&# WAXW0XW.@X & &* *&- *%&6

30 A El Problema de la Evaluacin de Consultas Difusas 3! #'*&,"&, 3&&&W4DX6(# %&'!&# & "& *&"&":%&&7WAX6 "&*&( "&!&# & 3 8 7W@/XW@AXW0AXW5BX6&& "" :&# &!"2 "= &6 "", "( &,! &&, $ " &6 & '$, -"!&# &7", '&*",-Z &&, ',& %&*"!&##"'WAX6"-',, '", - &"9 " & (-6Y*&# "( &6!&# & *& "7 "2%& & 76Y&%&7& ' *# *, " " ' & :*"# * 6,&& -& & ",:%& # - ' *# *&,!( - "! -&6 8 7 ;, "7 9" *& &&6, ',%& "- && ( WBX6# 9" *& * $ -! &&6 9" * - ' 9"7 "&:$*&! & - 6 ) >* & '& ""!&# & [email protected] """7 " * 3 & " 8 2 7" & #'%& " & *&-& &&%&3 * - 6

31 D "" ""7 "%& & - & *& " ' '&WAXW..XW.@X6""&' *#- * #- &: &9&# * &&6 '! #!& &"2" -;%&, " && 6 & $ 2& *&, 3& 3# 2& *&:2&7,!9,>G:á# & 2& *&6 $, 3 3 : *&6) & Z ""!&# & *&- 3WAXWB@X6 "" $! ,, ", %& " & *& '&,"",&" & 76 $,!&# & $! '$ 3 * &76 & ' "2, - 3 *&:, "-2 3 & *&6 *& " ' ")!#WB@X6 Y -%& & & *& >*, -!& & 7 >%&,-&""*%&& *&K!#&L,, &&&2&"7-K!#9-L6 )%& &%&!&&*#'<$, " - )!#6 "7, " %& # & 3 " & *&W0XW@XWB@XW44XW00XW05X6 -, 7 - & &* *&,: $,! %& & '"-9 "&:3 "6

32 / &&* *&,&&"9 &$ " ;" * 7& ' *#[email protected] "9 - ':" *&6" "2 ) & *& ' '&6 )! -2, -$ & ' %& - )!#6 Justificacin e Importancia del Tema &7&"' ' *"#, 7 :& &* 6), %&"&:!!&" *"# -,& ":"!"", "%&& -*"# &&"" & 6 &#"! -;%& """7* 6%&-&!' '$ - 6 "7,,"*&(M&"(N *"#6 -& " :"" *# &%&9"7-'&2&:, '&",*" &"6 '# & #"&: " #' *&,%& "3 6Y& - " %&" &&, - &( #Z "& "! G%& $! &&%&"" 2"6 8 7;,"&" &"!,!;-:! $ "2 &!- &# &8 %&' & *&6&,- 8 "?& ", ', :!&"W4DXW@0X6

33 "-', " & *& & "7 %& " & 76 '$ - * :"" "(#%& &,& &( " &# & *&6 &# & & #'*& '# 6), "&: " -"!"" * " & *&WBXWAX6 ) &%&!& &*# '<$, - %& ""!&#- )!#"-2 3 " & *&W@XWAX6),$ -"- *- *"" " & &* *&%& - # )!#,: "-9 & -*%& & W00XW05XWBDXWA/XWA@XWA5X6 ' " %& ' " -2 3 " & *&, 7 '& & "" & *&%&!& &* '<$ " 8 2 &"" -& "=WA@X6 Objetivos de la Investigacin 9%& '& -;%& "" *!&# & &* *&6-2 ' & >*%&!& &*# '<$ *3- - 2& 76!'# & -&# # " 76 "!#"-9->* &%&!& &*# '<$ *3- - 2&768 7;, "&#"-23 " '&2 *& "9!&#"7 & %&&6

34 . Metodologa )(-2!&,'&%&&# L & *" &&* *&>*:# &* *&6.L )#: &-*" # )!# &&* >*6 4L *# ""!&#& L )'"- ' '&6 -L )'"- ':8 *&6 L )'"- # )!#6 L & - )!#, 3 *&7& ' *# 7 "= """ $*"6 Conclusiones & -2 $&"&- " & *&%& '& ""!&# &' 6 "", & ' & *# & "( &6-2 & - " &!&# '& & *& "2%&&&*#,"!#*&6" ' -2&%&!&&* *& *" MD I N %&!, "7 - -"!&# *"MDI N, '& W/X6 - """ '$!'#&( %&$6 "-', 7, ",& # & &--, #!'6

35 4 Captulo II. CONTEXTO DE LA INVESTIGACIN &", 8 & " &( "& " & " : 6 " 8 2 &'$ "": &# 6 -, " &* -" ' (6'&%&" &&& & "" & 76 - $ %&",%& & 3 " '&2 &76 -" &*& " "&', #& & * &&6"& %&:& &&&& & *, 2& &,:%&,!' &, ' & *6 && 7 -' &: ' '&:& &"76 '& &', & & & -" & &6"" &$', --$' &6 &! - & *, %& #$',%&7-6&! 6,& %& :&K&!$L:,,& &;6 "! &&' "&"&# -"6""&&-;%& &# &6 "" "%& &&! - :%&,

36 @ "", * &, - " - 2& &#,:'&-2& &#6 &#"7' # - "!# &&, "-9!"" * * & %&"6 $, "& ( & " :&" * %&& 9&&6 " & W./XK>*L& *&("7!* &'&2&* & 7 > " 3# &%& # *&6 "" -2, >* ; & & *3-%&"$&*#'<$&&& ": "6",>*&:" -26-2! &-&#'*!7 '# 3-6 7, ", *, ": " *""!&# &%&!& &* *&6-2 " && & "- *" D I K &* L6-2*"&&# -& )!WB@X:9 W54X6 )!&'&2>*:)!#&"69 & #"7 &&* *& >*:&'!&#- ' &'6 $& - "*" -7: "!'#( 6# '&"3&!&","$""# -2( 6

37 0 II.. Bases de Datos Relacionales - ""& " *"#;- "! &''" " #6)&"&#: '&, " *H " " 8 2 K8,&''9-8 '":"L6" 3##! &&'" :! *$ "" 6 " " * # *"# & "& 6 &, " &8 6 '$ -," $&! -#"&:-2, &&"&:! ""*$6 W4BX,DB/,&8 -& # "" &&*$6 " -""7 #6&",":$ '& '&2 & - &# *"# - 6 *%&"7':*" F'- : 7& 6 7 '&2 & #,*&- &'&27>W5/X6'&2! 7 &-- 6 >, ",& '&2!6 "-', $ '&2 "! - "& & "&# 6 '&#":$ ""- " *& > = 9 $ '&2 "! WABX6 &,7 & >K ">IDD>4W0.XL& 3# "6 Y " *#:&(# *& *

38 5 &&: "" 6*&&! & &&%&&' "&-&6 &-,*"&:"6Y & &!' '$ 6&&*$" $,-"2" 68 -!" &&6), - "" "" "(# &6 ', & &, - " %& 7"$"" "6"(# &7&"%&: $&; DB/, W4BX&8,&- # $ 2&6Y! " & & #""76 2& * %&" #6 & %&" " 3# #6 &",9-:""*6 =!.%<C!"! I,, I 2&7,, * * H & * *& 8"&&& H ( I,, ) I %&" %&%&" # H I %&# 6 %&"

39 B ; "2%<"!C! 8-6 & E -6,6 & & 6 E -6,J 86= %M?= = R = R! 66%M? 3 - = X G GE 6? *E &#"0%!""!'& "; "2 0 0 *$ A2 $ V$? E0 * " " &* "&! "6 & $"&-& *6"", -& * &*&# #& "6 =!6%#"!C H ( I,, ) I &%&",, H

40 A I,, I,,,!" *&*&# H I %& (, ),., -& *&&"* #&," '&2 '"#&& %&!&& '6!.%!D E 76! -& KL, &*3# %&"#H = I EEE =I! ; "F%#"! 6%M?= = R = R! - 3 WE &5 6 E %M?? *! = EC! C :; X E C! C 0 X EC!C &7"-9&" -! * " &-& * &%&" #6Y#MN, * &#6!6%!DE K L " H = I EEE =I!

41 D ; ":% "! 6%M?= = R = R!- 3W 6 =!C X!C R X!CR 2& -& &#& & * 6Y ;I!6& 2& -&"" *&*, %& 2& -&*"&!6 =!0%"$"!C G"$ H ( I,, ) I &%&" {, &2& -& %&@& G#, H ( ) { ( E E ) H 2H %&@&, H ( ),,:# ( H@ ( H@ "3# &#&- & "- 7"", - &72& -&7!#6&%& %&" #& "7 &!,,!!,'&%&!"6!&*" *&%&"

42 ./ =!7%"$ H ( I,, ) I ( ), *""%&@, H ( ) ( ; ".%"$"! - 86%M? 3W :-; G -6 - &E 9, 6 :H % ;9 8= H % -== = R = R! , = H % Y-Z!XH % YZ! 9,6= H % Y-Z! 3 G#,! 9 = H % Y-Z!X H % Y Z!

43 . -9,-8 6 6? -, G#,E &#"7%!""!'" "; ". - (#SWVW0#< 0 (#SWWK#< 0 *$ (#S$NK#< A2 $ V$ (#S0*W#<? E0 * & & -&"&6,"!!*76 -&&#&!"&* #,"!!"6 =!3%"$,? H : H. ( =,, =,, && -& H. %& { } ( ( ) = ( )) H. H -H.,@,@, H { }( 2E = 2E ) H 2 2

44 .. ; "..%"$,? 6 8 8, & 6 :H % ; 3 0$E -6: [; 8= [ - = -. = = R! 9 6 8, -9 = - [ - -H %! - [ -. -H %!, [, -8-66H % E 6 -. E 6 [? -, -9 &#"3%!""! H -0 -K (#SWVW0#< (#SWWK#< (#SWVW0#< (#S0*W#< (#SWVW0#< (#S$NK#< 0 0 ) &%& #, # ", "-9 &*"#" 6 '&""7- -2 W4B,4AX*&%& &# $ *& '&2!6

45 .4 '&2 - &&*$ ""6 " " *'&26"&"&# " *&F'-W4AX6 & '& '&2 & -- 6 '&2 - & 2& '- " F'- :R 3# #' %&" " 7& 6 '&2 & -, "7-7 > '&2 & && 6 & *# ', '&2!& "& ">.:> '&2 &> >&'&2&& & 6Y - F'-: 7&6>"-9 &: "'&,"9:*& ''#,6# $ >,"!'#6 7 >, & * W5/X6 7 $ > " *",:%&&7"7 *&-*" *" &6 &&*& " & > -%&"&I6 # && - -7 F'- ):#,) &:#6 >,& &""#!&&, -&! "-'< 6 "-9, & "" "- -& 7 %&" &&,"- #& *2 -&6 " &" " "-'< -&: "- #&"7%&:# "- # -&

46 &&, 9 *6&#" & 3#"7 "7 &6 =!B%"" = H, H,., H %& H &%&" ( I, I,, I ) H,,,.,.,, %& H, H,., H - H &"- * { } 3{ }( H H 3 ) :, 3&"- { } 3{ } { } { }(, 3 -%&"> &7&&,&7&&8 :& 7&&` G,%&6"7 && & 7&& :#6 Y * -&%& 7 ' K - -&L6 * # '-%&-&&"&2&Z:"&!( -&6 && & *%& & 2& K& "&2&L6'& -! 6 7&&8 *-&!-&6 7&& ) & 6 & - & 6 7&& ` G # # 6 Y * %&&* -*' 6 #& 3# %& &!& &%& &&, &%&

47 .0 "#, &%& "9: &%& -& ;, & -%&7, #& &-& -%&36 ) ( ", *"" 3: "7 #' >6 &"%& 7*"( #' :3 #'&2 '"#6 >, 7&& ` G 6 " *#"7 '7&&` G: &9-%&7&&6 =!2%"< ""I H,, H %& H &%&" ( I,, I ) H,,,, & &,9 ',%& H,, "" * H & # &2& -& H,, H Ö 3# &> 2?, <HM H, H O%H,, Ö & 8 D&:& *" { 6 í } ( Ö ) =,, H H ( ) ; ".6%"< " H % 3 0$ 6 [ 3 00E, 8

48 .5 =29 & 8 9 0$6 &:; 8 8 \ DE 2, ] J, -3 E 2? <HM O%H %.6,%.6 H % %, [, H % % 6 = aa > % 6- = > [6 < / - > %. -. = %.6- = ( Ö) = 6%.6, 6%.6 % [ %. 6% 6 = aa 6% 6- = = 6%.6-6 [6 < / 8 66H %? 6 [? Ö? ^E &#"B%""""; ".6 %KE %KE A2 V$? * %&" && & 3 "%& "' #'&-* 6,&&7-' & 7&&` G3# >6

49 .B =!F%!"< "I Ö & -%&" 2? &&'$, <HM H, H O%H,, Ö 3# &> 2?,,, <HM H, H Ö &-%&"D,&:& * " ( Ö ) = ( & &&%&& -& &-%&, 'MVN& & 6!0%#DJE $"-V& & 7&&!( -& &!&, & '& :#6 )! & *#"& "2 - "; -& 7&& :"; 7&& 8, &"7 -& : 7&&6 &# " '& 9 ', - )# 6 &-'&, 7 &# &%&&>6!.%!#C"! " H H "" * & #

50 .A &2& -& H,, H & 2? <HM H H O%H %&! 2? <HM HO%H H = H H $ >3 %& *"#6 " & ''#6 & * *"',"'& =!:%,! I&"&I2&7-66 I&*&# = ( I ) >!*& ''# * 6 M&N6 Y& &"&2&Z*"(*#/6 *& ''# * &"M&"N,"73"M"3N,"$" MN:" M!'N6;"! >&&& *& *& ''#6

51 .D =!.%,!!DE I&"&I2&7-66 I = ( I ) ({,,., }) * *& ''#& & 7&&6& & *&# ''# '*%& & &7&* %& &" *"#6 "" &, & &";*& ''#, %&$;"&%&!&&*&# ''#,:%& 9 9-2%&!-6 =!..%"< ",!I Ö -%&"> 2? <HM H,, H O%H &*&# ''# Ö 3# &> 2? ( ) <HM H,, H O%H Ö & 8-66D & & *" ( Ö ) = { ( ( Ö)

52 4/ ; ".0%"< ",!! 6 8 H %? [? E & 8 9 0$ &:; \ D= 2?, (% 2E) <HM H % % [H % % 2 O%H % E = > % E- = -> -2 = % 2E- > [E < 0! 8 E \? W8-5= ( Ö) =, E% 2E % [ % 2 E% E = E% E- = E- E-2 = E% 2E- E [E < 0 &#"2%""""; ".0,%KE! WE "", #7&&` G&&'$,7&& & " 6

53 4 =!.6%!!"< "I,!! Ö -%&"*&# ''#> 2? ( ) <HM H,, H O%H &&'$ Ö 3# &> ( ) <HM H, H 2?, Ö & 8-66D,&:& ( Ö ) = ( > -&& & & # &6 " " -%& &6 Y & $"7 - >6-%&K-%& L "&-&6&-& "" && &Z ; * %& &-&& &-& &36 ) ( ", *"" &-&6 $ " "-9 "* -%& & >,! -3:"7 &, *# -%& &&*"'"-&:&-&6 & ">%&!-2 M N, M]N, MN: "# & &-%& %&&&!& &*&# ''#6

54 4. M N"%&& &&!$6 "&:": 6 M N& *"& 3 %&! " M N M]N6 "- '# #': M N,-3&%&%&!%& & M NMN6 =!.0% D/&E I Ö &&-I&> #> I'? Ö Ö & D &6D&:!! í ( ) = ( ( Ö) ; ".7%"" D/&E 6 8,8 =29 & 8 9 0$6 & :;E 8 D 8:I'?;\=

55 44 2? <HM O%H I'?! H % 2? <HM O%H! % 2 H % = > E < 0 > % E- = % [ -> % 2E- = -2 = ( Ö) = 66, 6 H % H % [ 6= aa 6- = 6-6- = < / 8 66H %? 6 6 [? \? ^E M]N &* 36 Y "!* &! " K * & -%& 3L *& "# '; " & &-&6 "7 *7,& :" "7 M N67'; 2" 6

56 =!.7% D8EI Ö&&-I&> & 7 "# #> >@ Ö Ö & D &6D&:!! ( ) ( )( ) í = Ö MN K&* &!L!* &! " K * & -%&3L*&"# " & -%& 6 =!.3% DEI Ö&&-I > & 7 "# #> Ö Ö & D &6D&:!! ( ) ( )( ) í = Ö

57 40 ; ".3%"" DE 6 8 6H % 30$E = M & E b D= 2? <HM H % O%H 2? <HM H %! :; = ( Ö) = H % { }}( ) E H % E 8 66H %? \? VE &#"F%""""; ".3 - (#SWWK#< 0 *$ "M N,M]N:MN"&:" -2,:%&9 && &* 7& >6 87, 7 3# " & &* '<$6

58 45 "# -%& &! " & K& &*&# ''#L,!& " &!"K *& -%&3L6 =!.B% C,!!I Ö&&-I >&*&# ''# & 7 "# #> Ö Ö & D &6D&:!! ( ) ( )( ) í = Ö ; ".B%!C,!!I 6 8 6H % 30$E,8 =M & 9 38E 8 D -6 6 bd= 2? <HM < H % 2?, O%H ( ) <HM H %! =

59 4B ( Ö) = H % E <, ({ }) E H % 8 66H %? \? NE &#":%""""; ".B * "?I\BB0.I 0 4/?I\40BI '&%&" &&*"#-'& *6 2" B6 >!& && &# &%&"3 %&"6'& 7&& M)]N:G 6Y " & 6 ; ".2%<<$"! 7,, - 5 3E J 5 :29 & -8&, $L R;,E 7&& M) ]N " - - & -&67&&MG N"& #-'&6 # & 3# %& &!& -& 7&& M) ]N: *& ''#- -&6)",3

60 4A :"7 ">&" %&-&#",!9 &-&6*73 ";:"; -& #! - && *#, "- " " " "& K" )# &# -&:#"L =!.2%"I H&#%&" H ( I,, ) I & #-*. & #-'& * {, }, &-& Ö 3# &> %& 2? <HM %4'>A HO%H Ö & D. HU&-2& # H%&!* # { H ( ) } H U í = 2&!& HU { HU( ) } = 6 = ( H ) # HU & { } ` ` ( H ) = H H = { H` E =! } & & Ö * " ` ( ) = ( H ) { } í 2

61 4D ; ".F%"<" 6 8 H % 8 = H % -== = R = R! -==! ==== R! 830W D 8 \= 2? <HM %E- H % (%E- = E- > E = E) %E-, E! %4'>A < 40 % O%H H` = { % ( E%E- = EE- EE = EE) } = { H` ( E%E- = ) } %E- %E- { } ` ` ( H ) = H H = { H` E%E- =! } %E- \ = ( Ö) = ` {,( { EE }) < 40 } % E- H H % 8J?? 0$? 00, b? 0K=

62 @/ &#".%!""! 0K* 2& 2> K ^WV2 > $ N$0K (H 7 * *^ ' 7S * WVN$ 7 0K*2 H ' <H *$ &#"..%!""! - (#S0*W#< 0K* (#SWWK#< ^WV2 (#S$NK#< N$0K (#S0*W#< *^ (#S$NK#< WVN$ (#SWWK#< 0K*2 &#".6%""""; ".F %E? -%& & & "-9-!'' - 2& ## *& ''#6 *#;" 7& & *&# ''#6 " ", 3# & ";*& ''# ' # "-! "*!6)",'6 =!.F%" "I H&#%&" H( I,, ) I & #-*. & #-'& *

63 @ {, }, {, } &-&, &-& &*&# ''# Ö 3# &> ( ) 2? <HM %4'>A Ö & D HO%H. HU&-2& # H%&!* # { H ( ) } H U í = 2&!& HU { HU( ) } = 6 = ( H ) # HU & { } ` ` ( H ) = H H = { H` E =! } & &Ö * " ( ) = U ( { 6 H }) ( U í H ). { } %&" &&"#'&-*'& *%&7,& "7&&M` GN:MG N6 =!.:%!!"I Ö& > 2? <HM %4'>A HO%H. --& ''# ( )

64 @. Ö 3# &> * '&' &&'$, Ö 2? <HM H %4'>A.. &&'$, Ö 2? <HM HO%H "- :. &'$, Ö 2? <HM H Ö & D&:& ( Ö ) = ( II.2. Conjuntos Difusos D50,[ &2 2& *& W/.X6 "!# *& " 2 *& " 6 7 ", $ "(# & # ' "36Y * " # * ""7, *#, ", " "7', ' *, " *"#, "(#*3-,7 :" 6 2&, & 7,* 3 &:- 7 " * 6) 2"' 2!,, ""&:- ' 6 2& *& " 3 6

65 2& *&, "7M2& NM2&7N2&, & $ 2& & *# #' 6 "7 #' ""-$ " 2&& " 6 # & & #'-!& 6 & & 2& 7 K L : # - &")","& 2&Z,!! M! N6'&,"& *& 2&Z &:,!! M*N6 ", & 2& *&, &', & * #' *&6 " *& ""-$ 2& *&!&!' /:,!! #' *& 7 ' W/,X6 / M*N,"%& M! N6#'*&:*!! M*N:M! N6 G: #'- # 2&*&6 #')-$, '! 7"&&" - :&" 6"-9- *&#' *&, "! &!"!W/,X6 #'#-2, ) 2& *&" '<$&""7 "&, 7 &#&"962& :& & ""- 2&:"&!%&7 6,2& *&' &#" ""-$: " 3&#6 & ' & " &!,"M2!N,M-' N,MN6

66 ) $' &, &*& ""-$, &: '! W/,X6 " &! &' %& & ""-$2& *&6' &&,&& &! & 2& *&6 * * - &!6 ' "&#2& *&,"%&' / 3&#6"' ""-$":/" %&7-2& *&K"& L6 =!6%; =C, #- I&2&7 *&23- -, I" &*&# I [/, ] " & 2& *&- I - ( I & '& *" *& ""-$%&"&:&& *# 2& *&6"&&"# " 2& *&&' ""-$6 =!6.%; = =! I &2&7 { } I,.,. [/, ] 3# = 2 2 *&2& *& -&! I *&# ""-$

67 @0 - =, {,, } ( ) = / -, {,, 7%&3#H 6 2& *& "-9 7%&& !",2&,& &3# { } = 2 && *& ""-$, *"6 2& *& & "# &! &!6!- & *3# *&# ""-$6 =!66%; == & I &2&7,., I %&. 3# (,., ) = *&2& *&-I*&# ""-$ ( ) ( ) ( ) = ( 4 ) ( ) < < < > 4 2 7%&9H 6?B 2& *& "-9 7%&&23- -? - #'7*,&"%&9 '&

68 @5 0 x x2 x3 x4,.%!& K"; = $ 2& *& * %& - 3 9:76,-,cI:cI6 &2& *&2&7*" " &!%& 7 " 3& 2& *&6, "' ""-$ /6 =!60% ; = &2& *&-&!I 2&7 ( ) * " { } d ( ) I ( ) ; & 2& *& 2& 7 " &!%& 7 " & 2& *&6, " ""-$ ' 6

69 @B =!67%L"; = &2& *&-&! I G 2&7 ( ) * " { } d ( ) I ( ) "%&7; %&7-2& *&6 =!63%; = &2& *&-&!I 2&7 ( ) * " { } d ( ) I / < ( ) ce & 2& *& 2& 7%& "&:""-$":'&!"$" c6 =!6B%MN; = &2& *&-&!I á [ 0,] á# 2&7 á * " á { I ( ) á} ci'"' ""-$"":c6

70 @A =!62%MG; = &2& *&-&!I á [ 0,] á# 2&7 á * " { I ( ) á} á = 3&#! e &2& *&;:/I6 ci:ci "$ ;"6.% - á G O &2& *&-&! I á, [ 0 ] á 2, ( á á ) ( 2 á á 2 6% - á G P &2& *&-&! I á, á [ 0 ] 2, ( á á ) ( ) 2 á á ;& &2& *&,%&! ""-$ "7" 2&6 2

71 @D =!6F%"; = &2& *&-&!I ;" &&( ) * " && d& ( ) ( ) & " & #!& & 2& *&6' I!& &2& *& *"&&6 =!6:%G$; = &2& *&-&!I #, ;" ( ) * " ( ) = &&( ) & 7'- 2& *&, - 2& "", #:&# 3 $ 2& *&6 #''#,2&#: :&#- *& "",#:&#,!"6 "" 2& *& " && " "" & 3& 6 " - & 2& *& "-97 "" - 6

72 0/ =!0% "; = &2& *&-&!I 2& *&- I * ( ) = ( ), #-2& *& *" &"'& & -"&!,!:"#W/,X""&6 =!0.%&" >?& [/, ] [/, ] [/, ] "& (( ñ ) ) ñ = "&! ñ (( ñ ñ ) = ( ñ )) ñ... ñ ((( ñ ñ ) ñ ) = ( ñ ( ñ ))) ñ. ñ # ñ (( ñ ñ ) (( ñ ñ ) ( ñ ))) ñ. ñ4. 4. " '&, & * # 2& *&6 K"$"L & " '&6 &", & # # 2& *&,:, &,# 2&# *&6

73 0 =!06%!; = :2& *&-&! 6 : 2& *&-I, * ( ) = ( ) ( ), &"'& I" '& & " '&6 I" '&& --W/,X%&"&!,!:"#, &/"&6 =!00%G&" 2#>?& [/, ] [/, ] [/, ] "& "&!! 8 # (( ñ ) ) / ñ ñ (( ñ ñ ) = ( ñ )) ñ... ñ ((( ñ ñ ) ñ ) = ( ñ ( ñ ))) ñ. ñ4. 4. ñ4 ( ñ ñ ) (( ñ ñ ) ( ñ ))) ñ. ñ4. 4. ñ4 "'& &I"'&6 =!07%G&" &"'&,#,I"'&, * (( ñ ) ( )) ñ ñ. =.

74 0. &# 2& *& * "& "-# ' ""-$ " & I" '&6 & * &# - I" "'&& #6" # &&",&#&&" - " K"73"L%&I" 6 =!03%!; = :2& *&-&!I 6 :2& *&-I, * ( ) = ( ) ( ), &I"'& 3&#:"& &2&:&""! 2& *&6"&,"- 7 "-, 2& *&: & ""6 "7 I! 2&*&6 0%G$; = &2& *&-&! I,%& ( ) &" I"&

75 04 #:&# 2& *&"&&" -&!6 7% #$!C! ; =, : 2 2& *&-&! I &"' -&! ( 2) = ( ) ( ( 2) = ( ) ( 2) á I: á I -&!-#:&#6 3% #$" á GC" á G : 2& *&-&! I á [ 0,] &"' -&! ( ) á = á á ( ) á = á á ( ) á = á á ( ) = á á "- '<$ &", & & *#"&%& " 3# *&6, &!(, *&6&-'&,, 7&9" *& *&" '<$$"& # *&"26

76 '*& ' *& -&'WA.X6' *& * & ''#%& &- " MN: MN6 ' *&- *&, " 8 *&6 =!0B% = I&2&7 * ( I ) [/, ] %&&- I ( I ) @ 2 ( ) = / C ) ( ) ))) 2 2 &' *#&' *& &*&#--I&" *&I"-'& *# =!02%" = I&2&7 * ( I ) [/, ] [ 0 ] - = I &" *&-I

77 00 '- - (- ) = ( - ( ) { } & " I%& - ( ) - ( { } = & %& -9 WD,54X %&!! &#&* *&& -!9 &' *&6!7"7 6 II.3. Cuantificacin Difusa "7" #'*&3# &*#, & " & &* '<$, " 2& *&6 "-9*& & [ W/X6 &*# *& &!!', &'! W@4,B5,BA,DA,DD,/X6 9 W54X & & " &*# *&" & &* *& #';" &* 3:&!6 "-',& & - %& 7 3: &!6 "7,'&!&;3 " "%&* & # #'6 2&* 3 &* '<$ " M ":$ N, M N, M3" " " N, M3" " N, M "N6Y"*3-(3# #'6

78 05 &* '<$ '&2 & & & 2& *&6 &*, $ *, " *&" &* *&62& *&%&7 &* *& 2& %& "- *# &* 6 # &* '<$ &&6-, 3-27"&# 6 # &%& &* '<$ 7 & "7 &! '&2 &6),& &* '<$: & #!,&&", " ""6 & & *# " &* *& & &#K L6 ';&(,*&* -&:&* 6), & & "", & '& &*, : &" 6 * ': &%& "-#, " 6 &%& &* '<$ - &2& *&"&""& : ""3& 6 =!0F%= = - - & $"- '<$ > & & 2& - *& D ( R) %& ñ D ( ñ ) = 0: ( ñ ) = ñ D >--&): >-" &* -& %&-&&( "M3" "0N,M".N6Y" 2& *& '!6) &%& '!, &' ""-$ 2& *& ' &7 "-&* 6

79 0B =!0:%=#" D&&* *& %&D&2- & D &* ) 2& "6&* "M"" N,M":$N &* 6Y &-2& *&!& W/,X6 ) &%& # &' ""-$ 2& *& ' & # "- '* &* 6 &! &* *&" *&-!W/,X6 =!7%= " D&&* *& %&D&2-& D = [ &* %& %& " & 2& *& &*&# ""-$ 6) 2", '&. M "@N & &* -&, M":$ N & &* 6

80 0A =!7.%= D&&* *& %&D&-& ñ ñ 2 D D ( ñ ñ 2 ) ( ñ) ( ) D ñ &* &* '<$ 2& *&*&# ""-$" 6)2",'& 4 &* M &"@N & &* -&, &* M N&&* =%@AD"7EQ@#ADC-E =!76%= D&&* *& %&D&-& ñ ñ 2 D D ( ñ ñ 2 ) ( ñ) ( ) D ñ

81 0D = %@AD"7EQ@#AD-E &* &" %& %&&*&# ""-$%&,",:, &9 6)2",'&@M3" & &* -& &" : M3" " " N & &* &" 6 =!70%=" D&&* *& %&D&-& ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) = > = < = ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ ñ D D D D D D D D D D D D D

82 5/ E*@#AD "E #'7:# &* 3K L:&!K L6 &!"& "7' &* *&, " "& '& 06 &* 3 M3N & &* -& Z"%& &* &! M) N & &* 6"- "7$' )&* *& G-&",&* & - "%& *' 6 & &* " M&*#!N6 3 &* '<$! & &* - *&"6& &* " M&*#(N,*&&WDX:W5X6

83 5 3 &*#! '& &* *&, & *" #6 "7 "" *": *".6 *" & 2& 7 " - &*#6,9"&&* *& - "&2&7%&*& # *&6 =!77%!= =,. I &2&7 & *&- I D &&* *& 3#'<$ MDI %&& )-!,*7MDI N3# ( I) *:5 36,, 6; & # *" Z : 5; & &* *&,&*#-2&7 : ;, : *&-2 &*# 2&# *& #" : ;,:36, ;::,6;6 &* *& *".& 2& *& " &!-&*#6# *". - " & 2& *&%& *& *&6 2& *& - "-9" & *&-&2&76

84 5. =!73%!=,6 I &2&7 & *&- I & *&- I D &&* *& 3#'<$ MDI %&& K )-!,*7MDI N3# D ( I )2",*:5 36,, 6; & # *".Z %&$: 5; & &* *&,2&- &*#2& *& : 36, ;,: *&-2&*#2&# *&#": ;::,6;6 "-9 & '& &* *& 3 &*# ( *" "7 3 9" *" :.,!"6 *"4&&* *& - *&%&&"* & =!7B%!=",0 I &2&7 2 *&- I D &&* *& &!-- I

85 54 3#'<$ M D 0 K %&& * *7MD 0 K ;3# D ( ) '&&# *"4M5 = 3,,6N6 M 5N&&* *&%& - %& M N,M3,N:M,6N,*" MN,%&""- 2&7M" N6 G:&#3"7&* *& *" 4: *"6' *# &# *"4 * " *"# *"#& *" I&2&7.%?",0 2 *&-I D&&* *& &!--I #&* *"4 M D 0 K ; "7"%&! {,,. =, *&-@: -&; = ( ) ( { }

86 *& - *& " &,%& * & "6 " *& "' 6 =!72%!= ==7 I &2&7 2 *&- I ;"[,],, / D &&* *& &!-- I 3#'<$ M3>,. J ' ",, %&& *7MD 0 K D,, ( ) 2 2 2" M 5 = 3,,6 0 $EW $E N6 M 5N & &* *&%& - %&M N!,M3,N! /6B: M, 6N!/6@,%& * "MN,%&""- 2&7M" N6

87 50 6%? = ==7 I&2&7 2 *&-I ;"[,],, / D&&* *& &!--I #&* *"@ M D 0 K,, ; "7"%&! ( {,,. =, *&-@: -&; = ( ) ( { } ) *&-@: ; = ( ) { } 3",%& *" *"4:.," %&, & & & & # &*# *&, &* ;"*":.6

88 # &* *&!' & # &*# *& W@4,0B,54,BA,DA,DD,/X6 ]' WD/IDDX!'#! " &* '<$, WDA,DDX 9!& & '& & 6 -[ W/X,) WB5X:]'WB5X6 9 W54X& "7 &&* *&6Y " %&, & & --, # &* *& - * 6 - & %&!"7>*6 & &#6 ".%"=!,.$" "* I&2&7 & *&-I D&&* *& ( D( I ) ) [ 0 "6% -"=!,.=! I&2&7 D&&* *& 0 : K *&-I%& ( ( ) ( )) I. D ( D ( I )) ( D( I 2 )) D ( D ( I )) ( D( I

89 5B "0%"=!,. =" I&2&7 D&&* *& & *&-I%& ( ( ) =/ ) I D D ( D( I ) ) = ( D( I ) ) "7%!"$",."-= I&2&7 & *&-I - ( ( I) ) I "3%!"",." I&2&7 & *&-I ( ( I) ) I

90 5A "B%"=!,6$" " I&2&7 & *&-I & *&- I D&&* *& ( D ( I ) [ 0 "2%"Q,6<$",. I&2&7 & -I & *&-I D&&* *& ( D ( I ) D (@) = @ { I ( )} = "F%$-CI",6=" I&2&7 & *&-I & *&-I D&&* I ( ( ) =/ ) ( D ( I ) = 0 ( ) I ( ) / ( D ( I )

91 5D ":%$-CIQ",6$ I&2&7 & *&-I & *&-I D&&* I ( ( ) =/ ) ( D ( I ) = ( ) I ( ) / ( D ( I ".%I#"Q,6<$",. I&2&7 & *&-I & *&-I D&&* -& ( D ( I ) D ( I ) = ( "..%!"",6" I&2&7 & *&-I & *&-I ( ( I ) = (!! ) I (

92 B/ ".6%!"=DLE" "" I&2&7 & *&-I & *&-I &* M>GN ( ( I) ) =! I "" ",:!' *# &* *&6 9 W54X - %& # "# ]' WD0X, ;%& * %& &" " "%& & && &&* *&- K)& )& 0:)&.L6 9 W54X"-9& # *"." "& &#'#-,&: %&'& & 6) -2" ]'WD0X&&#- 2&-6Y " # "#6 '" '# &*,&'*&3 &* 6Y- *" :.6 %&$ # *" &* -& 6 # 6@6 *"& *"%& " #&%& &* *&6 # MD I N, D& &* -&,! :&&-2&7@ I%&* ã K]L MG:D"@N:ã. K]LM

93 B =!7F%!! I &2&7 & *&- I D &-&&* *& ' *# MDI N ( D ( I ) ) = ã (@ I ( ãk@l#:@ -ã *# &"'&6 ( ã (@ )) = ( ã (@ )), ã. (@ ) ( ã = D ( (@ )) (@ ) ( ) ( ã. (@ )) = &"'& "& -!,' "'& :. *&7!! #&* *&MDI N6' "'& :. 2""*&2& #' 2&# *&6&", & MN6 '"'&,-'&!6%!! I &2&7 & *&- I

94 B. D &&* -& "'&. "'& ' *# MDI N, D = { } D I ( ( I) ) ( ) ( & " %& I. ( ) ( ) ( I &-'&, -2 &"7%& 2&# #' " MN6 ; ".:%!! I = {,,, } 39 = {,6B0,60,6 } #"#: I ;,= I ( ( ))) = = & = /60 { I } & ( ( ( ), ( ) ( 6.0,, ) ( 60,6B0), ( 6B0,60) (,6.0), (,6/ ) -&# 9 W54X # &"' # &* *&- '

95 B4!0%!!" = I &2&7 * & *&- I D &&* -& ( D( I ) ) = (- = ( I ) [ 0 ] %& ) (@ ) D - = I [ 0 ] %& - ( ) ( ) "! #"#"& '*& &' %& 9 & 6 WD,/,.@,.0,.5,.B,.AX & ""!&# & &* *&6-7 "" " @6 *" &* *& )-!! &* %& -& & & *"%& &( %&!,& &* -&6W.@X&-!" '& %&!,]'"-9 "WA,DDX6"-', * *""*"6 " *"# "!& # & &* -& & # & &* 6 "7 M*"#-&N6 *"'&

96 =!7:%&=!#" D&&* I&2&7 & *&-I *? -6 #DKIL" D D *"#-& DI, * ( ) = D D I ( ( ) ( )) {/ I } ( ) ( ) V V D D > I B%&=!#"$"$=#"C$" #% D&&* *& I&2&7 & *&-&!I D KIL*"#-& DKI,L DD &&* *&-& D D &&* *& -& D" D &&* *&" -&!,"":%&%&%&,';,&" $ &* *# D

97 B0 0%<$" &=!#" D&&* I&2&7 &) *&-I ( D I! ) ( D I! ) D KIL*"#-& DKIL ; "6%&=!#" < ^! I = {,, } 3 9 = {,6B0,60,6 }. - I=? I! I! <^!E

98 B Q@#A G:&*"#%&"!&#&&* &#&&* :!!6 &* & " #" '6), "7*"#M*"##"N6 =!3%&=!! D&&* I&2&7 &) *&-I *? -66 # D( I) ( I) " '# I ( ) = ( D 6D, * ñ D` ( ñ ) = ( ñ )

99 BB 2%&=!!$"$= " #% D&&* *& I&2&7 & *&-&!I ( I) D *"##" DI! D D & &* *& ) D D & &* *& )!,"":%&%&%&,';,&" $ &* *# D 7%<$" &=!! D&&* I&2&7 &) *&-I ( D I! ) = D ( I) ( ) D ( I) *"##" D( I) ; "6.%&=!! I = {,, } 3 9 = { 6.0,60,6 }. 4 - I - <WE? I! I! = {,6B0,60,6 }

100 BA 0 0 0,25 0,5 0, ,25 "7M*"#)N*"#%&"!& #&&* &#&&* -&6!7*"#-!! &* -& 6 D&&* -& I&2&7 & *&-I =!3.%&=! " **"#) #DKIL" O O ( I, ) O O I &3# I&&!"@ I O @ = ( I ) = /, $" &*, * "

101 BD = D D D ( ) ( ) = = 0 ( ) = 0 < ( ) D = D D D O O 3# - I ( ) ( ) - I = O / - I O O D -6D I, * ( ) O [/, ] ( ñ ) ( ñv I ) O ñ = F%&=! "$"$= "C$" D&&* *&-& I&2&7 & *&-&!I D O O O ( I, ) *"#) DKIL D ) O D & &* *& D ) O D & &* *& D " ) O D & &* *& " #%!,"":%&%&%&,';,&" $ &* *# a D

102 A/ 3%<$" &=! " >&&* -& I&2&7 &) *&-I ( ) D O O O ( ( I, ) ) D ( I, ) D O O O ( I, ) *"# DKIL ; "66%&=! " - 6 < V! I = {,,, } = {,6B0,60,6 } I=? -6 I! 6 a a a - - ( I ) O 4 = I = {,,,,, } 6I &L 6 - X O = {,6B0,60,6.0 }. -. O I L - O I X a <V!E O I

103 A R & "# &* *&, - ' *# & *" &* &", & *"#%& "- & 2&# *" &* "#,& : 6 *"# "M*"#8 #N6 =!36%&=!! D&&* &" I&2&7 & *&-I *? -66 #DKIL" D " KILD # KIL D " D, * ( ñ ) - ñ ñ ( ñ ) = D D - ñ > ñ ñ;""7-2%& ( ñ ) = D # D, * - ( ñ ) = D ( ñ ) - D ñ ñ ñ > @...A D ñ ;""7%& ( ñ ) =

104 A. :%&=!!$"$=C= Q $""K "=" #% D&&* *&&" I&2&7 & *&-&!I D " KILD # KIL*"#8# DKI,L D " &&* *&""&( D D # &&* *&""&( D!,"":%&%&%&,';,&" $ &* *# D " :D # B%<$" &=!! D&&* &" I&2&7 & *&-I ( DKI, L) ( D KI, L D KI, L) D " KILD # KIL*"#"# DKIL

105 A4 ; "60%&=!! I = {,, } 3 9 = {,6B0,60,6 } I- <NE? ( ) - I! ( I) ( I) ' #$& ( II.4. Lenguajes de Consultas Difusas & '& *%& * 3:! & *3-6)!WB@X& " &*3-6Y ' &# %&, *%& & &*3-, *%& - 2& *& "7 & 6 '& & & -& 3 :"# 6-2 &J": "W@BX,) :"WBBX:["J!:\ *&# -" #:"&# "6 ", '&2: " "- 2& *&: -&)--$6 8,): W5D,B0X &&" #:"&# *&& 2& *&,-&)--$:"6

106 88 " 88&*&(&"%& *&6*& &-$ *& &# *& *"#6 &',& -$ " ;, #& >*&%&;"&*(& *& ", " *& 2-26 " " & ;" *&, %& *& K L, & *&," * '<$: "9 - ;" *&6! & &* *&6 %&& " & " & & *& %&"7)R> " -$ "2 & *&6 " "&"(! >6; " -$ " & *&6",*",&"# & %&'&& & 7:-$ *&6 [email protected] >] >]&*&(!*& &%&=" "2 W5,5.X " 3 "& 6 $ " " &: 3 >, #, * &&:* 6 >] " 3 *& 2&#: :&#6-7 " *&!: *&6 " & &* *& # * * *6 " & " &# & * >6 '&( &!"$" *#!&&6

107 A0 >* >*&>3 # $ 2&*& 3&K *&L* >&%&,&",9"7 ",%&" &!" *& & '&2>6 >* ; & "*3- &%& " &*# '<$ - 2& * &,!9 3# > && ": " &* *&6 "-9 " & &* * -;%& **6 )!&# &, &!""6 "7 " %& -!# W@,AX%&! &7%& &, &,I& & *&, " %& " & & '&2 *& 6 "" 7 %&!# - & >*Z&", & -&- && &* *&6 " )* )! WB@X -2 # $ 2& *& " 6Y&3#"- 8 " &I," *"&# "- 76"(&*3- %& &3 & " 6 )!& *"2 *3- %& " &# *"#6 Y & * *%& &*3- " 6Y- %& *%&

108 A5-2& *&""",",$, %&9*%&"7'6 Y && 3# *& >, " 3# "6 3#, " >*, &" '! " 6 & -&*& & %&! &>*,- %&9"!%&!&&6 Y &"9!&#3, &, 3 & " # &! *&6 "9 -&I & # *&"& & 6*%&",'&,-I&;2& 96Y &,*", "= "9 " &* "6 " ) 9 W54X& '# "#3&* "3# 9"&* "&- 6Y & 7:'&2 & >* " 9" &* "6 *# & 9 &* '<$ K &* *&L & &( " : " 3 '<$ KM3" " " N, M3" "4NL6&-2&!& " *3>*&&* *&- 6 '& * & " # # &* *&6 # &* *& - #! & K),]',: [ L,9 - %&&*%&""-& 3-6 Y - %& *%&!7 &*3- &

109 AB ' &;" #, ' *&6-2! *& &"7# &* *&Z &* & " * %& "- &*3-Z: "!&# &* *&"7"26 *!#, #%& & & &*#&!6 Y & # & 3# 3 >*!# *&:!2 &&* &!!( &'<$6Y &3>*!# *&6 &- ""# -"," *# '"!&#&%&!&&* '<$6 II.5. Consultas Cuantificadas Difusas *#: "7 >* -2 #! -2!W..XW.0XW54XWB@X69-2&& >* %& * "7,!'""!&# & &%&!&&* *"6&-'&7 &!# 3:"7 &, & -2! %&" && &*& " >* -%&"&6 # &&--7 F'- :#, & : #,: # 2& *&6& & >*&2& *& *,, &# *&&' &#76

110 AA ""'""-'< >>*6), &"7%& & & : # * 6 &# " &3#"7"7 &6 -%&">* & 7&&,& 7&&8 : & 7&& ` G,%& 6 "7 && & 7&& :#6Y*-& K3 -&L%&7 6-&&2& *& : '; ' *#6) ( 7, # "7 &&"7,9 ',& -&7&&6 7&& "-9 *& -#%& ' 2& *- 6G: -#&!:&!6 -# &! && * ;" & - 6 & -*":' ""-$;" & %& 6 -# &! && *&!"$" *#%& -&%&*- 6 7&& 8 ) & 6 & - & %&*7&&6)(7, # "7 &&"7,&#7&&6 7&& ` G 3# *& # 6 Y * # & &7 ' *#6 *%&*' ( 6 #& *&%& &!& &%& -& #6) ( 7, %&$*"" 3: "7 *& " >*67*-2 )!WB@X6 -%& & " & && &* *& 7&& ` G "- *&6, # &* *" 4,, *# *" 4 K*#@5LZ

111 AD &"""- *"6*# 04 * "7*" &6 2".@ & &%&" &&&6 =!30%"<" "I=!=0 H &# &-& H ] 0 [ D&&* *& *& 3# &>* 2? <HM HO%H D (- - ) 2 - && %&"D-&:& * " ( ) = E = ( D( - ( ) - ( ) - ( ) )) H 2 ; "67%"< 85 =: ; :, 6; :,, ; $WE D- 5=

112 D/ 2? 0E7 <HM M-! = [ ) =, &) = = && O%H &* '<$"-9& & "- *&,& &' "6, # &* & # 2".0 & &,"%&*#0@&"7*"6 =!37%"<" "I=!=7 H &# &-& H ] 0 [ D&&* *& *&K *&L [ 0] 2 3# &>* 2? <HM HO%H D ( )(- - ) && %&"D-&:& * " ( ) = E = ( D( - ( ) - ( ) - ( ) )) H 2 2 ; "63%"< 8 * = : ;: 3,;:, 6;:,,

113 D ; $EV $EN $EW $E^,X $EE D- 5= 2? 0E5 <HM 3 ( 0E80E90E 70E6 ) = [ ) =, = && &) =! O%H ) *#,*"4"7"%&!*"K3"L,: *"@%&!*".K3".L6), & )& B:)& /,*".& & *" &* -& # 6), '& & & *"4'&,"& >-&:, '&,& ' "!9K/#L6!7%!",7",0"< "=#" H &# &-& H ] 0 [ D&&* -& *&K *&L [ 0] 2 2? <HM HO%H D %&! 2? <HM HO%H D ( )(- - ) (- > - > - > ) 2 2 & *&&:!

114 D.!3%!",7",0"< "!" H &# &-& H ] 0 [ D&&* *& *&K *&L { 0} 2 2? <HM HO%H D %&! 2? <HM HO%H D ( )(- - ) (- - ) 2-2 &-$ ' "%& = - %&!,-"!&& &-%&" &* *& "- &! &, 2? <HM HO%H D (- - ) %& >* -& & # & # &6" " -%& &6Y& "7 - '&2 & -- 6 &-& ""&& &,'& * &-&& &-&!& &3Z: 7&& -%& -*&-#6 & >*3#' *& >6" >, >* : %&! &"&: '& && 6)!WB@X& %&!6

115 D4 M N " - ' ""-$ &! " K * & -%& 3L & 2& *& K& & L6 M N"7"'# M N6 M N"-' && &&!$6!9 & M N, & *"& 3 %&! M NM]N6"- '##': M N, - 3 &%& %&! & M NMNWX6 M]N&* 36Y"-' &&! " K * & -%& 3L *& "# *& '; " & &-&6 MN K&* &!L"&' &&!"K *& -%& 3L *& "# *& " & -%& 6 -%& &! " & K*&# ''#L, 9 & " &!"K* -%&3&L63# *& "" " "6 >* M N,M]N:MN& "( &* '<$, &'&*# *&6 '&7 & "&* *&,93IJ::IJ6 "3IJ&& &- & " & &&* *&&' >6&& &!&& # &* *& *" 6 *"(# *# 006 && &, & &*, """%& &* &!!# 76 2".5 & &: "7 &! && &6

116 H &# &-& H ] 0 [ D&&* -& &# &-& -& # *&K *&L 3# &>* 2? <HM HO%H D ( 2? <HM O%H -) &?: ;D- 6-0!&:& * " { } ( ) E H = ( D( -( ) )) ; "6B%GS@!=.A M 6 0$ -6 8$EWE 8 D- 6= 2? 0E7 <HM O%H 0 2? <HM O%H b = Eb > =! & M]N:MN>& "( & &* *&6 &*# - * & %& *&"#"& -%&36

117 D0 "#& - & & "# *& K" *&L6 &*# && & *".6&& & " ":IJ6 *"' &: "7*" *# 056 2".B"&&%&" &&%&$& &6 =!3B%GS@!=6A H &# &-& H &-& H ] 0 [ - & "# *& D&&* *& &# &-& -& # *&K *&L 3# &>* ( <HM O%H -) 2? <HM HO%H - D 2? &?:; D- 6 -K!&:& * " = { E H = ( D( E - ) } - ( ) ( ) ; &85-6 $EW D- 5=

118 D5 2? 0E7 <HM >>>! 2? M- <HM O%H O%H b = Eb G: -&&& &%&!& & # &* *& *" 6)", & &* -&:,'&,& #*6!B%!",.",6=#" H &# &-& H &-& H ] 0 [ - & "# *& D&&* -& &# &-& -& # *&K *&L ( <HM O%H -) 2? <HM HO%H - D 2? %&! 2? <HM HO%H D 2? ( <HM O%H( - > ( ) '&,& &* : #-,:%&! "3IJ6), - & ""!&#6 $,-"!&-%& & *&"-, & -

119 DB,& D&&* -& 2?<HMHO%HDK2?<HMO%H*L.,& D&&* :-& #6 ( 2? <HM O%H -) 2? <HM HO%H - D %&) >* "-9 * & & 7&& M) ]N:MG N6"", # 7&&G & - &*&# ''#6 3# %& >* %& &* '<$& & MG N, &' &&* *&6 2".A"&& "*" & &* & >*6&-*"67&&` G - & #6&&&':"7 *#0B6 =!32%"I=!=. H &# &-& H ] 0 [ D&&* *& -& # *&K *&L 3# &>* 2? <HM %4'>AD H - &2 D- 6-0&: & * "

120 DA ( ) H ( E = ) ( D( H -)) = { H ( E ) } H = ; "6F%,.I= 5 36, -6 $EWE 8 D- 5= 2? 0E7 b <HM b %4'>A M- H ( = MH = [ ) ) & &* " "& 2".D6 &-*".6*"(# && &7 *#0A6 =!3F%"I=!=6 H &# &-& H ] 0 [ D&&* *& -, -2 *&K *&L 3# &>* 2? <HM %4'>A D - H - 2

121 DD &2 D- 6-0&: & * " ( E = ) H ( ) = = - 2 { H ( E ) } H = = ( D( H - ) ; 5 36, -6 $EWE 8 D- 5= 2? 0E7 b <HM b %4'>A M- = H O%H = [ ) & *".& & && *"& >-& -& #6& &* -&& &%&! )#B6!2%!,6,."=#" H &# &-& H ] 0 [ D&&* -& -, -2 *&K *&L 2? <HM %4'>A D - H - 2 %&! 2? <HM %4'>AD H (- > ) - 2

122 // )," # )#A& &* # -& #,& *"&&%&&"6!F%!,6,."!" H &# &-& H ] 0 [ D&&* *& & # -& # *&K *&L 2? <HM %4'>A D H - %&! 2? <HM HO%H %4'>AD H - - %&!, -"!& & -%& &* *&"- && *" 2? <HM %4'>A D H -

123 / II.6. Balance del Captulo ":$ 8-8 :! & >6&& &-%&", ":"6" >& *& ''#6%&$ &*"(# &6 &!' '$-, "-"2" &%&& Z,!$7-&'"!'#76 '& %&" & & " " & &6 - $ %&",%& & 3" '&2 &- #'6 &#' -" -!"" * * && %&"6 %& " & " :&" *%&& 9 &&6,! &3-6 "-2" &- 2&*&,& %&" "7': & &3-- 6 : $ 2&*&%&!-2Z á I:&,"&:;!&# &Z: '*& &',"&:""7 :!&# &&* 6 &* '<$ '&2 & & & #" =& 2& *& * & "76 Y &* "*3- # 6

124 /. &* *& *, & &(, -& : Z:,&"",, :&" 6 G:& &* *& *"MD I N, *".MDI N, *"4M D 0 K EEE NZ: *"@M D 0 K EEE,,,N6 *"4& *" *" 6 & *" *".6 # &* *& -2 #!!' 6!' -[,) :]'6 ]' & #- & "# 2&-6 # MD I N! & 3& &-2&7@ I%&*'& 2&# " MN6 # ]', "#,! & ' *&6 &" & ",. " I %& ( ) ( ) ( ) I. I,, # "#! D = { } D I ( ( I) ) ( ) ( ) 9 W54X & # "7 & &* *&6 Y " %&,* & &--,& # &* *& -* 6 # "# ]' &" "& & & -- 6)&"#&>*6

125 /4 9 " %& '& * *"."" & &- 6),'-2&- *"6 &* *& *"%&& &%& &* *& " & *" *" %& & 3&!" &* -& 6 %&!%& & *" &'!"&,","-', '&#&#*" ""6)(#(#-2 *#:*"(# *"6 *"# -&'& # &* -& &#&* D ( I, ) D V ( I, ) V D ( ñ ) = D ñ ( ) D I ( ) - - / ñ I ñ > I *"# #"'& # &* &&* D ( I, ) D U( I, ) ñ ( ) = ( ñ ) DU D E *"# ) ' & # &* &&* -& ( I ) 3# I ñ = O D O ( ) ( ñv I ) D O O O D, D ( I, ) O I & *"# 8 # "-& # & &* &" & 2&# &* "# ( ) D ( I, ) D ( I, ) D ( I, )

126 ñ = D ( ) ( ñ ) D ñ ñ ñ > ñ ñ ;""7-2%& ( ) = ñ D ñ D ( ) = ( ñ ) D ñ < ñ ñ ñ ñ ;""7%& ( ) = ñ D '&2 &*3-- " *&, "7 ">*6Y;%&" &%&& -26 && & >* %&!& &* *& -%& ", ": "6-2 *"(# "7 &6 -%&"& &&&* *&7&&` G, "- *&6#&* 4 (-, -, ) 2?,,, <HM H,, H O%H D. - -%& ", &* "-9 & & "- *&,& 7 &' " 6 2? <HM HO%H D ( )(- - ) & &* -& ' " 9, #&* %&!*"46 ",&%&&* *&-& -& &' M N6& &* *" 2? <HM HO%H D ( 2? <HM O%H -) "&%&&* *&& & &' M]N:MN ( <HM O%H -) 2? <HM H O%H - D 2?

127 /0 & &* -& #*,&*# "-*"6 ", &* & & - "'&,%&*& #6&-*" 2? <HM HO%H %4'>A D H - ", &* "-9 & & - "&&-2& *& '&%&*& # 2? <HM HO%H %4'>A D - H - 2 & &* &( -& # %& - &-2& '&,&%&!*"6 -"!&-%&" &"- & 2? <HM HO%H D ( ) 6 -"!&-%& &"- &,& D&&* -& 2? <HM HO%H D ( 2? <HM O%H -).,& D&&* :-& # ( <HM O%H -) 2? <HM H O%H - D 2? -"!&-%& "- & 2? <HM HO%H %4'>A D H -

128

129 /B Captulo III. EL PRINCIPIO DE DERIVACIN )!#*& & :)! * ""!&# & *&%& "-2 ;" * &&"6!33 - #' *&: 6! $ 2&*&K!$& L6 & )!# &2& *&K*#.4L%&2&7%&#" 2& *& &:' ""-$ &Z: ái & 2& *& K*#.5L, & 2& 7*" " 2& *&%& ' ""-$":'&%&&"-á6 # )!# " & >* - &&%&& *&&*, -2 & -2!W@,5,AX6 7!&# && & >*%&& &* *&6 $& &" - %& )!# & >*- &* *& *"K%&!L6 %&)!# & -2!WB@X, &'&#*",* - -, : "*"" -

130 /A &&* *&%&-2-2,& """$& 6 III.. Conceptos sobre Derivacin )!# - *" #'6 & & *&,!&&7%&-""*6)'&, - - &, & & >%& - * &':,-",'&* 6*#0D & &! &"',"-"-6 =!3:%" $ && *& Ö&&7 7%&Ö, & &!# ##' ( ( )) ( "&2"4/6""&& -%&">*- & *&,:&&! 96 &', "&%&&&"*#0D6 ; "0%" $ 3! 8 $- Y$EE0K$Z<0$

131 /D = = ( 2? 0E7 <HM O%H = 40) 9 D Ö = ( 2? <HM O%H (( 39 <= ) >( <= 4) )) 2, -6 - = ( ) = ( ) = E = { 0E7} ( ( )) ( E) 40,-6 $<0$!8= ( E) 0E7 (( 39 E) ( E 4) ) = B0K*!0KK! = ( ( )) = { (( 39 E) ( E 4) -6 Ö= ( Ö) = { (( 39 E) ( E 4) M,0K!0K! 8= ( ( )) = ( ( ( )) (

132 / ,.% =%",#"#"*2 *#0D"&, &"!,%&&%&& *& "& &! K3!#L6 "-', 7 &!!6 &! & 3" "- & & *&'6 #% && *&>* &.% $! 3&&7>Ö%& Ö&&!!6 "" &: Ö " #,*7-%& ( ( )) (

133 *#5/ &!#&,%& %&, &&>*,&!&&7%&& ""* - & *& '6 *!& & *&, *7!#*& "%& -6!# '(%&'7'&*3,,';7&36 2"4/,&7Ö&!#*& & *&E =!B% $!, && *& Ö&&7 7%&Ö&,6- Ö&&! : & &!# ##' ( ( )) = ( ":$K L &>*"!#*& WA,B@X6) 2", &&& # *&%&!&&" WDX " "-#,- &!#*&6 *#5, &!#9-,&%&"!#*&, & & >%& & * - &>*:,-",'&*"762"4&6 =!B.% $! T#" && *&:Ö&&7 7%&Ö&,6J Ö&&!, & &&- # ( ) ( ( ))

134 . ; "0.% $! T#"" 3! 8 $- Y$EE0K$Z-<0$ %&- R -<00 '- -<0K 2? 0E7 <HM O%H = ( ) = 40 = %& 3 = ' 9 D 2? <HM O%H Ö = (( 39 <= ) >( <= 4) ) MH ( 700) MH (( 3 = (?) MH ( 3 = (?2)),6J = -6 - = ( ) = = 3 0E7 40 ( E) ( E ) ( E3 ) %& = ( ( )) = ( ) ( ) ( ) 3 E E E3 E 40 %& '

135 4-6 9 Ö= (( 39 E) ( E 4) ) ( E ) (( ) ( )) E3 = (? E3 = (?2 ( Ö) = $8= ( ( 6) /6B) (( 4D 6) ( )) ( ( 6 ) ) /6B ( 6 B// ) ( ( 63 ) /6B) (( 6 3 = (?) ( 63 = (?2 )) B0*!0*!0*^! 0**!= ( Ö) = ( ( 6) ( 6 ) ( ( ) ) %& 63 /6B %& ( 6) ( 6 ) ' ( 63 ) 8= /6B ( ( 6) ( 6 ) %& ( ( 63 ) /6B) 0*K!0*W!0*V! 8= ( ( )) ( 68 ( Ö) ( ( ))

136 @ 0*K!0*W! 8 ( Ö) ( ( )) 8, 8= 40 3 ( E) 0E7 ( E ) 0E7 ( E3 ) 40 %& 0E7 ( E) ( E ) ( E3 ) 0E7 %& ' 8= ( ( 6 = 0// ) ( 63 = (?) -6 $%&'= = 5 40 ( E) ( E ) = 0E5 ( E3 ) = 0E %& = 3 2 ( E) ( E ) ( E3 ) = 40 %& ' < = 40 3 ( E) 0E7 ( E ) 0E7 ( E3 ) 40 %& 0E7 ( E) ( E ) ( E3 ) < 0E7 %& ' 0$! = ( Ö) ( ( ))

137 0,0 0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0, 0, ,..% =-.#! #"* JTA JTB JTC JTD JTE JTF JTK JTL,.6% =#/%#"*2 "! 2",!# & - *" #'!& 6! & & *&%&!& &* *& & W@,B@X6 #! : # &*!

138 5 %&"( 3 6 *"( *#5.:*#54,!"6 =!B6%! $ -& # *& & 7 "#, $0c & # 7%& &26,> * & &!# ##' ( ( ) ( ) - í 7& #! - (- ) &! & #!& & 2"4,"&!2"4.6 ; "06%! $ 3! 8 $- Y$EE0K$Z-<0$ %&- R -<00 '- -<0K ( 2? 0E <HM O%H -) -6- = = 7 ( = = %& 3 ' ) - = 40 =

139 B 6 = (( 39 <= ) >( <= 4) ) MH ( 700) MH( ( 3 = (?) MH ( 3 = (?2)) 26 >, - $EW (-,/6B) >2, = = -8= ( ) /6 B = ( E) ( E ) ( E 3 ) E 40 %& ( ) ( ) ( ) E E E E E3 E 40 %& ' -6 $%&'0N! 8,= (( 39 E) ( E 4) ) ( E 700) ( E3 = (?) ( ( E3 = ([email protected] = ( ) 8,0W!00! 8 ( ( ) B ( ) ) 6 / -

140 A #"&" :&"- *&2&76Y& &-2& *%&* #!, && * 3, " & 2" 4.6 '&, %&%& #! * * 36) &' &*! K*#54L6&2"446 =!B0%!= $ -& # *& & 7 "#, $0c & # 7%& &26,-* & &!# ##' ( ( ) ( ) ) 7& #! &*- - ; "00%!= $ 3! 8 $- Y$EE0K$Z-<0$ ) - = = 6- E

141 D = 6 (( 4D > ) MH( >@ )) = 26 -, - $EW,J f (- <,/6B) 2, = -8= ( ) = (( 4D > 6) ( $80^! 8,= ( 6) = ( ) </6 - 8= ( ( ) ( ) </6B) - = ( ( ) ( ) </6B) -

142 ./!#*& & - *" %&!!& 6 "7 #! *& K*# 5@L & #! %&-!9 %&!6 #! 2"44"-9&2" #! &6 =!B7%! $, -& # *& & 7 "#, $0c & # 7%& &26,<* & &!# ##' ( ( ) ( ) ) - 9- & -!# "!& 6 "7 #! 9- K*# 50L %&-" "6 #! 2"4.& #! 9-6 =!B3%! $ T#" -& # *& & 7 "#, $0c & # 7%& &26,J * &>2-! &2-!, -& #! *&*

143 . III.2. Derivacin de Condiciones " $& & && &! & &* *&6) #, " -&*"#' &* *& %&!%& & &* *&6 $& '& *": "*""&! (6 &# &* *&ã CDKIL,:&&"-,-&! &#Ã %&3 %&' *# ã&" &"- & # &* *& ', Ã KKãLL6%&- Ã %&&&* *&, "%& & )!#6& -Ã " &!##'63#Ã &* *& &( ã6 $Ã &* *&Z"-', # & 7 &* -&: 6 3 &* *& $ - &( *" # # 646@ &* -&!#&* -& ".6- *& &-*" ",* &2"!#"6 *"# &"-"&' *# #&* *&,;" "%&-&"-' *# *& &*#62"4@"&"2 6

144 .. ; "07% $!!=#" D- <0* I = = {,,, }. {,6B0,60,6 }. 4.0 C$E 0 - I =. 5G8 ( ) D -6 6 DKI, L = ( D( I) ) = { } 0EE I D ( ) ( ) *#"&,- ( ) ( ) ( ) ( (, )) = & /,, /6.0,, /60,/6B0, D I ( ) ( ) ( ) 8= ( DK I, L) = C$E 8= ( DKI, 6 G I8 - = { I ( ( ) / 60) } = {,., 4 { I ( ( ) / 60) } =

145 .4 5 =. 8= { I ( ( ) /60) 0^!0^V! 8 3-8,= L ({ ( ) } ) ( DKI, ) I ( ,.0%= "#"*3 ".'( *"# & 2" 4@6 ",& "#- &6 &6% $! =#" D&&* -& I&2&7 & *&-I K/,X

146 D ( I! ) I ( ) D "$";"&%& ( ) #%K)*"#" %&!L ( D( I ) & # *& &* )#.# 6464 ( D( I) ) = { } 0EE I D ( ) ( ) )KB/!%&! { 0 I } D ( ) ( ) )"7 &",%&!K!"L ( ) {/ I } ( ) ( ), D & "$"&%& ( ) & -KB4!" D ( ) {/ } ( ), ( ) ( ) { } ( ) I, & ( ) D D & I ", D "$"&%& ( )

147 .0 & & { I } ( ) ( ) D %&! "$";"&%& ( ) "4, D ( ) { } I & ( ) I >&%&!K!"@L ({ I ( ) ",&: L ({ ( ) } ) ( DKI, ) I ( - *& %&" "".,&& & "# &-I&-6), - ", & & & " ",".,"4:"@6" K"L -&# " g- 6. W/,X -ÆW/,X Í

148 .5 & {/ } -KL {/66}( -KL #% "# KL &#'%& & {/ } %& {/ : -KL & - = KL { / )KA!:KA4!,&: - ( { } (- ( ) ) "# (%& KL &#'%& %& : { } (- ( ) ) {/

149 .B )KA5!:"7 &" - ( & {/ } -KL )!, KAB!:KAA!- & {/ } ", KA/!KA@!:KA0!KAD!,&: & {/ } -KL {/ }( -KL '& & " & &- ".K%&".L -%&" &"-(,!"7 ( )! " ";"&%& ( ) 6 D 6 D&&* -& I&2&7 & *&-I K/,X

150 .A { } ( ) ( ) ( ) { } ( ) ( ) ( ) { } ( ) ( ) ( ) I I I D I D I D & & &,,, "$";"&%& ( ) D #% "$";"&%& ( ) D,,"D { } ( ) ( ) D < )"7 "$" { } ( ) ( ) ( ) ( ) D I D &, )! MfN,& "(KD.!KD4!,- { } ( ) ( ) ( ) < I D &, ): 8 ':,KD@!%&!

151 .D ( ) { / } ( ) ( ), D & ",' &#KD0!,- ( ) {/ } ( ), ( ) ( ) { } ( ) I, & ( ) ( ) { } ( ) I, & ( ) D D D & I I & " &( &- ".K%&"4L -%&! ( ) "&"-(, " '&%&!&" ( ) & ";"&%& ( ) 6 D 0 D&&* -& I&2&7 & *&-I K/,X ( ) { } ( ( )) I { I } ( ) ( ) I, & & D D "$";"&%& ( ) #%

152 4/, D "$";"&%& ( ),"D )"7 "$" { I } ( ) { I } ( ) D ( ), & ( ) I ( ) ( ( ) ) & ( ) D D I - KDA!& &KDD! { I } D ( ) ( ), & ( ) ( ) & ( ( )) I I & K.//!,& -"('( ( ) { } ( ) I, & ( ) D ( ) { } I & ( ) ;"& " & -"."@6Y "! ( ) 3 &! ( )!"7' ( ) & ": '& &"-, %&&"&"-:%&"'&%&, 6 D ";"&%& ( ) 7 D&&* -& I&2&7 & *&-I K/,X

153 4 { I } & ( ) I ( ) ( ) { I ( ) D "$";"&%& ( ) #%%, D "$";"&%& ( & " I%& I {,,. } I I I ( ) ( ) ( ), & *# & ( ) = ( ) { I } ( ) & ".$K./4L,&&#'(,&#K./5!, - ( ) { } I & ( ) I ( ) { I } ( { I } ( ) ( ) ( ) { I ( ( ) ) } * "# KL &#'%&

154 4. ( ) { I } ( %& : { } ( ) ) " IK./0!,:K./!, ( ) ( ) ( ). & - K.!:K./@! ) ( ( ) {,.,, } I ( ) { ( ) } {,.,, } I ( ),&# 2&: K.4L- { I ( ( ) ) } "- K.@LK./D!,&:%& { I ( ( ) ) } "# (%& KL &#'%& %& { I ( ( ) ) } { I ( ( ) ) } = )&# 2&:,K.5L:K.BL*" &#'K-& L%& { @6.FA ( ) < ),

155 44 ( ) ( ) ( ) ( ) ( ). I "- K.DL:K../!,- %& : > I )K..!,K..4L ( ) ( ) ( ) {,, ), & K...!,K..@!:K./@! -%& {, { I ( ( ) ) } {,.,, } )&# 2&: { ( ) } I K..BL K.BL, #! &#K.DL,,- ( ) K.A!:K..A!,&: ( ) { I } &- K./A!K.@L: K.0L K..A!, " { I } ( ) ( ) ( ) { I ( ( ) ) ", %&!K./B!:K.4/!,&: { I } & ( ) I ( ) ( ) { I ( )

156 &", &* *&-&,- %& #:D I ; * &"- ;" " &: ' *#-,7" "$";"& &' *# D7" E *"#7& "7, 6, 6.: 6@, &! && & >* "- #&* %&&&* -&6 ".&& "&:"6Y& &"-!!! %&!& &* 6) &7 *" %& " "- &* &(, &!" # 646@ &" &* ) "&!"&,!#&* " &* -&, "- & "2 &' -&6 " 4 "" - 6 " " *$ : -%& "., - *"#-&,*#@D&$ 646@6 &0% $! = " D&&* I&2&7 & *&-I K/,X

157 40 L { ( ) } 8 I ( DKI, ) I ( 8 D 8 "$";"%& ( ) #% %&!*"#-&K*#@DL ( ) ( ) D I! D! >VK,L*"#-& >K,L ">,*"#-&K) 5L >V&&* -&,& ".,- ( D I! ) I ( D V "$";"&%& ( ) { } ( ) "D ( < ) ( ( ) ) / D D 8 "$";"%& [, 8 ) ( 8) "> D ( ) ( < ) 8 [ 8, ]( ( 8) ) 8 / D "-!- -K.45!"

158 45 [, 8 I ) ( ) ( < ) [ 8 I I ]( ( ) ) /, I I D )K.4A!,K.40!: *# *"#-&K*#@DL, - %& = 8 -%&! L ( { ( ) } 8 I ) ( DKI, ) I ( ", &*,- %& ' *# &# *"DI &"&"- # "%&*' ":'&7" "$"*#&' *# D&"&"-E 64: 60, *"# 7& : -! &&* 6 III.3. Derivacin de Consultas -2! *""!&#& &* *&6)!#*&- 2&"# & "" " & *&,# " -2= %& &6$& %&" &! && & >*%&!& &*# *&"- *" %&" 79-%&" &*#-&2& *& * 6 &* *"46"" ", #

159 4B "" "- *" 6 & *" *"46 ), &, & ' &* -& 6 - %& %&& &%& &* *& & *" %&& &* -&," # *" # 646@6 -%& ", "- &* " *" " ", &%&, & &, &*# -& 2&*2, *" -2 &*#, "%& &! &"6 )# D -%& %&" *"# & -%& & - # )!#6!:%" $ ""< " D&&* -& & *&&* ( 2? <HM HO%H D (- - )) = 2 Ö&7 2? <HM H Ö = O%H MH ' ( ) > ' >2 (- "$";"&%& ( ) ( ) { } 2& "- " D *"%& Ö&&!

160 4A 8 7;, { } >2( -) &!#*& Ö&!#*& #% )"7 K *#L = 2 (!) H( E = ) ( D (- - - )) )"7 D ( K *#L = ( (- - - )) ( D( -)) D {- - } = 2 ] ( ) = ( ) = ( ) - H,K.@@!,& -K.@4L" (!) = H( E = ) ( D ( -)) " D & &* -&, & ". ( ) D -! ( @67FA "$";"&%& ( ) D,& K.@A!,& -K.@B!" = - (!) H( E = ) ( )

161 4D ( ) ( ) MH > - - ' ( ) K.0/!,& -K.@D!" (!) = H ( E = ) ) )"7 Ö K *#L ' ( ) MH > ' (- Ö! = H ( E = ) ( ) ( ) MH >í >2 -! ' ) *# >2 ) H H ( E = ) ( E = ) ( ) ( ) - MH ' MH ' ( ) ( ) í >2 -! > ' >í ' (- ) >2 - K.0!,K.0.!:K.0@!%& { } (- ) ( ( )) ( >2 &!#*&, *# ( ) ( ) - í >2 -!, Ö! = H ( E = ) ( ) ( ) MH > - ' K.0!:K.0B!-

162 @/ ( ( )) = ( ",&:%& Ö &!#*& 8 7,# 6@6 &","7&2" -# &! %& ", $ " &&!&# & "3IJ - %& " 3IJ, *# # & & &* -&6-2 ' &* -& 6&&(&&* &",& *" &&:IJK!#5# 606.L#/ *"#:&-!# "3IJ6!.%" $ GS D&&* -& & *&&* = 2? <HM HO%H D 2? ( <HM O%H Ö&7 Ö = 2? <= <HM HO%H ( 2? 2M7>? ( ) <HM O%H >2( "$";"&%& ( ) D *"%& Ö&&!

163 @ 8 7;, (- ) >2 &!#*& Ö&!#*& #% )"7 K *#L (!) = H( E = ) ( D( -)) " D & &* -&, & ". ( ) D -! ( "$";"&%& ( ) D,& K.5.!,& -K.5!" ) = - (!) H( E = ) ( )"7 Ö K *#L Ö! = H { } í ( E = ) ( ) >2 -! ) *# >2 ( ) ( ) - -! í

164 @. H H ( E = ) ( ) { } í ( E = ) ( ) - >2 K.54!,K.5@!:K.55!%& ( ( )) ( >2 -! &!#*&, *# ( ) ( ) -! - í >2, Ö! = H ( E = ) ( ) K.54!:K.5D!- ( ( )) = ( ",&:%& Ö &!#*& 8 7,# 6@6.,"7&2" -# &! " 3IJ, $ " &&!&# & ":IJ -2 7 " :IJ &* 6& &"" &&& & &* -&, & & *" & %&!- && "3IJ6&%&, & & ":IJ&* &", *"%& -&, 3& %&! &

165 ""%&&&* 6# #:&-*"!# & $ CGS D&&* & *&&* 2? <HM HO%H = - D 2? ( <HM O%H Ö&7 2? <HM HO%H = 2? 2M7>?! <HM O%H > >2 - ( 2? 2M7>?! <HM O%H ) ( ) "$";"K#L%& ( ) D *"%& Ö&&! 8 7;, ( ) >2 - &!#*& Ö&!#*& #% ( ) - = )"7 K *#L

166 (!) = H( E = ) ( D( -)) "D&&*,& "4 ( ) D ( ) -! "$";"K#L%& ( ) -,& K.B0!,& -K.B@!" ( E = ) (!) = H ) )"7 Ö K *#L Ö! = H & -K.BB!" Ö! = ) *# >2 ) H H H - ( ( E = ) { í ( ) ( ) } í >2 -! í ( ) { } ( E = ) { ( ) } í ( ) ( ) -! >2 -! - í >2 ( E = ) ( ) { } ( E = ) ( ) - >2 -!,-, K.B5!,K.BA!:K.A/!%& (- ) í ( ( )) >2 &!#*&, *#

167 @0 ( ) ( ) -! - í >2, K.BA!:K.A.!,"('(, ( ) Ö! = H E = ( ) -, K.B5!:K.A4!- ",&:%& ( ( )) = @6F7A Ö &!#*& 87,#@64 $& -,"7& 2" -# &! " :IJ, $ "&&!&# &6 646@6 )"&* -& )#. - # )!# & &* -& 6 &* -& & *" &* " *"&* *&&& # 6466@ 8 7,# 6@6@,"7&2" -# &! )"&* -&,$"& &!&# &6!.6%" $ "=#" D&&* -& & *&&*

168 @5 = 2? <HM H %4'>AD H Ö&7 Ö = 2? <HM HO%H >2 %4'>A 2M7>? (-) ( ) "$";"&%& ( ) D *"%& Ö&&! 8 7;, (- ) >2 &!#*& Ö&!#*& #% )"7 K *#L = (!) H( E = ) ( D( H -)) " D & &* -&, & ". ( ) DH -! H ( "$";"&%& ( ) D,& -KKVWL" = - (!) H( E = ) H ( )

169 @B )"7 Ö K *#L ( ) ( ) { } = = Ö E H!! - >2 & -KKN$L" ( ) ( ) ( ) ( ) { } = = Ö H E H! - >2! - >2 í ) *# >2 ( ) ( ) ( ) ( ) - - í >2 L ) ( ) ( ) ( ) ( ) ( ) ( ) { } = = H E H H E H! - >2! - >2 - - í -!%& ( ) ( ) ( ) ( ) ( ) = = H E H H E H - - ' "([email protected],- ( ) ( ) ( ) ( ) ( ) { } = = H E H H E H! - >2! - >2 - í K.AD!,K.D!:K.D0!%& ( ) ( ) ( ) &,:- %& Ö &&!

170 @A >2 -! &!#*&, *# ( ( ) ( ) ) - í >2K K.DL:K.DBL,"('(, Ö! = H H ( E = ) ( ) - ( ) K.AD!,K.DAL:K.D@L%& ( ( )) = ( ",&: K.DD!%& Ö &!#*& )"&* ) # # )!# & &* 6)%& & "" && %& '& &%& &* &(, & *" & & %&!%&&& &*, & *" %&*& & $&, # 46@6 )# 4 " *" # )!# " &* 6!.0%" $ "= " D&&* & *&&*

171 @D = 2? <HM H %4'>AD H Ö&7 2? <HM H HO%H >2 Ö = %4'>A 2M7>? O%H = HE ( ) >= 2? 2M7>? ( ) <HM H "$";"K#L%& ( ) D *"%& Ö&&! 8 7;, (- ) >2 &!#*& Ö&!#*& #% )"7 K *#L ( K L ) = ( ) ( ( )) H = D H - 6, "D&&*,& "4 ( ) D H ( ) -! H "$";"K#L%& ( ) D,& -K4/.!"

172 0/ ( ) ( ) ( ) = = - H H E ) )"7 Ö K *#L ( ) { } ( ) ( ) = = = = Ö E H E H E H!! - í & -K4/0!" ( ) ( ) ( ) { } = = Ö! - >2 H H E H ) *# >2 ( ) ( )! - - í ) ( ) ( ) ( ) ( ) { } = =! - >2 - H H E H H H E H K4/@!,K4/5!:K4/A!%& ( ) ( ) ( ) G&- %& Ö &&!! - >2 &!#*&, *#

173 0 ( ( ) ( ) ) - í >2K -L, ( E = ) H Ö! = H - ( ) K4/@!:K4!, ( ( )) = ( ",&:%& Ö &!#*& 8 7, $&, #@60, "7& 2" -# &! )" &* ),$"&&!&# &6 III.4. Balance del Captulo -2! - )!# "&" *'!&# & *&6-2! & ""( ;" * :, & 3 "%&& *& & 76)!#!#3 *&:,!9 :ái 2& *&,- &7%&! #'" & *&,* %&&! & " & *&6 "7! $ )!# &!,!, &*!,!#*&:!# 9-6 &

174 0. *"(#'&:" ",* & #:&- && &! & >*%&!&&* *&,%&-2 & 6-2 &: - %&! ái 2& * &* *& *" KD I L: #' 6 # &* -&6) &* - '&%&! ( D I! ) I ( ) ";"&%& ( ) D ) &* *&,!! -& *" &* %&- # 646@6 #:-# #! &* 6 # "#":"-9 2&-&"7 *" &6) &* -&!'&%&! ( D I! ) I ( ) I ";"%& ( ) D -# )!# & &* "- *" 6) & && & # &! 6 "#*"",%& & 7 & &" *# &! & *&6 8 7 ;, -#%& *&-2 &*# "!#*&,&! "-9&!#*&6 )&*& %&"

175 04 2? <HM HO%H D (- - ) - 2 D&&* *&-&,&! 2? <HM HO%H MH ' ( ) > ' >2 (- ) ";"&%& ( ), K L2& "- " " S,666,T6 )& *& "3IJ D 2? <HM HO%H D 2? ( <HM O%H -) D&&* *&-&,&! 2? <HM HO%H ( 2? 2M7>? ( ) <HM O%H >2( -)) <= ";"&%& ( ) )& *& ":IJ D ( <HM O%H ) 2? <HM HO%H - D 2? D&&* *&),&! 2? <HM HO%H ( 2? 2M7>?! <HM O%H ) <= ( 2? 2M7>?! <HM O%H > >2( - ) ";"K#L%& ( ) )& *&) D 2? <HM H %4'>AD H - D&&* *&-&,&! (-) %4'>A 2M7>? ( ) 2? <HM HO%H >2 >=

176 ";"%& ( ) )& *&) D 2? <HM H %4'>AD H - D&&* *&),&! 2? 2M7>? <HM H HO%H >2( -) %4'>A ( ) >= ( 2? 2M7>? ( ) <HM HO%H = HE) ";"K#L%& ( ) 6 D

177 00 Captulo IV. MECANISMOS DE EVALUACIN #!""!&# & &* *&- 76 >*" 3# &6' -2&* *& *",, &*# - " & 2& 7%& *& &*# *&6 * ""!& &, &', & &-* * " &7 "7 & 6$,7-!&"%& &6) & " & '&& - "6 ", & &!" &%&$$*6'&,"" &!$"&3#-" &36 "*%&"&&&!"7%& - 6*%& && "&:6%&%&!'"&'" :&!"&"6%& $',&# & "%&' '$ %& " &7:,"7;,!" 8 &6"' ( 7"-"," " 6 "-' '& $ '&"&!&!2 &!"7%& - $"&: *&&6), *& " &*3-, -" && &!"7%& -! " "26 - "7 & * &&6 && "(# &, " $, " - &* ;, "-

178 05 &&& 3#-' *# *&, - &(3& # *&6 (! * '& *%& && " &*3- '' *& >* "& -& 8 36 *%& "-9-2 W.,@,0,5,A,.@,.0,4.,@D,5,5.,55,5D,B4X6*"!:' &&&! "7%& - 6!2 *%&- " &&: '" -* "! 8 &-:6 "7, - "!2 3 3 *&:W@,A,B@X6 %&$&""!&# & *&)'" '&,)'"&',)'"! :&! 6 )'" '&,""&'"3%& * #--&&Z& ", ' *# # *&,%& 7 %&"%& -&"-,&: $2&&#6 )'" &' - *"&# ' *# &* *& *", " ' *& &'6 '"2 ' '&, " & &$ * - $ ' &'6 )'"!! & '" 3%& &' *#-& & >- #!#,! $ 3&! *#- &6 &! -!#6&! = " *&%& & ' *# *&, "%&! *&'"36

179 0B -2 # & &* *& "- *"6"& ",#0 $&,&&"&&&,& & %&" *" 2? O%H D (- - - ) 2 <HM H H & "3IJ 2? ( <HM O%H -) O%H D 2? <HM H H & ":IJ 2? O%H - <HM H H ( <HM O%H ) D 2? & %&) 2? <HM HH O%H %4'>AD H - $ # '" & && & 6 '&7 & %&9 %& & &* -& : %& %& & &* 6

180 0A IV.. Estrategia de Programa Ingenuo "&#%&&!&# & *&, "" #-, &, ' *# # *& -;%& & ",%& 7 %&9&: ' &"&"-* 6 &# " ' '&6 Y & $ " - &%& 8 Z: - &%& && &>*6 ''&,&'"3!-!&# & *&6-& &&76&- & *&!&," *&6 ","!7"7 6.: 64, & &7,&-# * -%&3: 3 - * -%&, * &-&6 -"''&%&9&6- %& *- - '; #6" %&$ 3- &6"",&! 7& ' *# # *& *68& 7& &' ( 6& "2 # *&,7& ' *#& & "6 ) *# ' '&&&& &, - %&" &7 :'"%& -"" '" &6 &# &' "7 *"# '&6 '& $& 7 *# ' '&&&* *&6

181 0D 666 %&" #7!&#'& & *" 2? <HM H H O%H D (- - ) 2 - ) &,*"#'& 2? H 3 <HM H,, 3-& H,, H %& -, -,., -,, 6-& -- &7& &97& ' *# *& -, -,., - 6 *"#" #&* *&%&&!& "&" &76)&&,-#"-9 " Z'"7- -# &9 &' 6 '"&*# '"3%&!;&-%&" ' '&6 >e, H ".%$"!"< " < ( 2?,,,,, <HM H,, H ) 3 - D (-, -,, ) '-& 2 -! H H Yf E E.Z 2? <HM H 2 &!%&'"! * H,, H :, *, &' *# #&* *&6' & " &*&#&:*#'".6

182 5/ "6%$"! 0 < - D (-, -,, ) 2 ( ) -Y0EEZ ( ) ( ) ( ) 2 -! ñ ñ 2 ñ & H { } D ( ) ñ '".37& ' *# &#4 & &* -& *&6 "-', &* *&,#"-"63#*&#H$ "( & -46 &#".0% )=!? { } { } D D ( ) ñ ( ) ñ ( ) ( ) ñ ñ { } D { } D { } { } D D ( ) ñ ( ) ñ ( ) ñ { } D { } D ( ) ñ

183 # &* *&,';& # 6@64: 6@6@67& 3 "6 "-' *# &* *&' & 6"-#" : 6 &* 2& *&-2&*#6 &,$%&"& "& 6&:%& 3"" "&#6)-& &* *&-&6 )"!&# '& &-%& ", " * '":'".,'& ",2"402&!&# & & 6 ; "03%$"!"< "" J? 0E 8J 8 * = *L, E -6 J - 8 G <0E $ 6E D- 5= $E-[& ) )* C)*) &&C[&C&, C&&), C)!,6-6? 0! 9 9 = -

184 ? 0E ? 0^E ? 0W!E =$ - E & 8 B - -, B6 & 6E < - -6? 0V!E &#".7%"!0 ) < ) ) && [& - $0? $ 0^V V 0K$ & $K 2 ** K$$ WW 0$$ $* S % ** 0V* NK 0 $$ O& $ S 2& *^ 0W0 N$ 0K$ & $? *W 0V$ V$ K V$?& $^ *V 0 ^0 * 0$$$?& $W M B *K 0^ ^ K W$ $V H * 0NK 0K$ 0 $$ O& $N?B * 0W 00$ 0$$$ > 0$ F AB K 0W$ ^ K W$

185 ,.7%&T =%@A Q@#A2"Q@A Q@A.*Q@A.. * C@=A

186 &#".3%)=! = ( ) ( ) = ( ) ( ) ( ) = )*) && [&= &, = &&), = ) $0 $ $ $ $ 0 $K 0 0 $ $W 0 $* 0 $0 $* $ $ $ 0 $ $K $ 0 $ $ $ $ $ $ $^ $ $ $ $K 0 $W 0 $ $ $ $ $V 0 $^ 0 $ $ $N 0 $ $W $ 0 0$ $ $ $ $ $ &#".B%")=! :6 P&" $0 0 $ $ $ $ $K $W $ $* 0 $* $0 $ $ $ 0 0 $ $K $ $ $ $ $ $ $ $^ 0 $K $ $ $ $W 0 $ $ $ $ $V 0 0 $^ $ $ $N 0 0 $W $ $ 0$ $ $ $ $ $

187 50 &#".2%)=! = = :6 P&" ( ) ( 2) ( 3) ( 4) ( 5) D D D D D ( ) { } D ' 5 $0 $ $ $ $ $ $ $K $ $ 0 $W $ 0 $* $ $* $0 $ $ $* $ $ $ $ $K $ $ $ $ $ $ $ $ $ $^ $ $K $ $ $ $K $W $ $ $ $ $ $ $V $ $ $^ $ $ $^ $N $ $ $W $ $ $W 0$ $ $ $ $ $ $ &#".F%""" = P&" *P" P" ' G' H' & : * $K 2 ** K$$ WW 0$$ 0 $N?B * 0W 00$ 0$$$ > $W $V H * 0NK 0K$ 0 $$ O& $^ $0? $ 0^V V 0K$ & $ $ S 2& *^ 0W0 N$ 0K$ & $

188 "3IJ %&$""!&#'&& *" 2? <HM H H D 2? O%H ( <HM O%H -) *"#'&-%&3 & 2? H 3 <HM H,, 3-& H,, H %&7-,, 6 *"#'&-%& & 2? <HM O%H!,, -&,, %&7-,,,! # &&,&!- & " & -%& & 3,!- & "& 7" #,&%&& $ 6 '"4 *'"'&%&!;& "3IJ6 &!%&'" * H,, H :, *, "-9 *,, & *"# -%&6) * H,, H,'"&' *# #&* *&6* ( &9 && ' *#6 & -!%&""(! *! -%&3"! -%&6"",&, (!7&%&&',"", 6

189 5B "0%$"!GS >e, H < ( 2?,,,,, <HM H,, H ) 3 < 2? <HM O%H! "f ( ). -D! '-& H H Yf E E.Z 2? <HM H 2 '"@*# *&#%&&' *# &#&* *& *",& &&* *&6 - "7%$"!. < -D! ñ ñ 2 ñ & H { } D ( ) ñ %&'"@37& ' *# & #,&&* -&,*"%&'" %&&, - ("'" '".6 - %& " 3IJ, # " &* -&, & "7 && & K$& #@6.L6 )"!&#'& & "3IJ,&#, 2"45, &&6

190 5A ; "0B%$"!02(" 6":? 0N J 8= H * *L E 6-6$EE J E D- 5= $E-0[& ) )* ) -[& C)*) ))C0E))! -? 0N - 8E = ) ))-[& ))CE))? 0V E 6 J E -6 8? K0!E --, 6-9 &? K0!E < 9? KKE E

191 5D &#".:%"!0 P&" *P" P" ' "P P&" $0? $ $0 $K 2 *^ $K $* S % * $* $ S 2& ** $0 $? *V $K $^ K $* $W M B ** $0 $V H KV $K $N?B K $* 0$ F AB * $0 00 >, * $K 0K H $ $* =%@AU"U0*@#A U07UC*

192 B/ &#"6%)=!"! = = )*) E) E) E ( ) $0 $ $$$ = )*) E) E) E ( ) $0 $ $$$ $0 $ ** $W $W ** $W $W $ ** $W $W ** $W 0$ * 0$$ 0$ * 0$$ $K *^ $$ $K *^ $$ $K $ *V $$$ $V KV $$$ $V $ *V $$$ $V KV $$$ 00 * 0$$ 00 * 0$$ $* * 0$$ $* * 0$$ $* $^ K $$$ $N K $$$ $N $^ K $$$ $N K $$$ 0K $ $$$ 0K $ $$$ $0 $ $$$ $0 $ $$$ $ $ ** $W $W ** $W 0$ $ ** $W $W ** $W 0$ * 0$$ 0$ * 0$$ $K *^ $$ $K *^ $$ $ $ *V $$$ $V KV $$$ 00 $ *V $$$ $V KV $$$ 00 * 0$$ 00 * 0$$ $* * 0$$ $* * 0$$ $^ $^ K $$$ $N K $$$ 0K $^ K $$$ $N K $$$ 0K $ $$$ 0K $ $$$

193 B &#"6.%)=! = = E) ( ) D E) ( ) D 0 $$$ 0$$ $$$ 0 $$$ 0$$ $$$ $0 K $$ $W $$ * 0$$ $W $W $W $W K $$ $W $$ * 0$$ $W $W $W 0$$ $$$ $$$ 0$$ $$$ $$$ 0 $$$ 0$$ $$$ 0 $$$ 0$$ $$$ $K K $$ $$ $$ * 0$$ $$$ $$$ $$ $V K $$ $$ $$ * 0$$ $$$ $$$ $$ 0$$ $$$ $$$ 0$$ $$$ $$$ 0 $$$ 0$$ $$$ 0 $$$ 0$$ $$$ $* K $$ $$$ $$$ * 0$$ $$$ $$$ $$$ $N K $$ $$$ $$$ * 0$$ $$$ $$$ $$$ 0$$ $$$ $$$ 0$$ $$$ $$$ 0 $$$ 0$$ $$$ 0 $$$ 0$$ $$$ $ K $$ $W $$ * 0$$ $W $W $W 0$ K $$ $W $$ * 0$$ $W $W $W 0$$ $$$ $$$ 0$$ $$$ $$$ 0 $$$ 0$$ $$$ 0 $$$ 0$$ $$$ $ K $$ $$ $$ * 0$$ $$$ $$$ $$ 00 K $$ $$ $$ * 0$$ $$$ $$$ $$ 0$$ $$$ $$$ 0$$ $$$ $$$ 0 $$$ 0$$ $$$ 0 $$$ 0$$ $$$ $^ K $$ $$$ $$$ * 0$$ $$$ $$$ $$$ 0K K $$ $$$ $$$ * 0$$ $$$ $$$ $$$ 0$$ $$$ $$$ 0$$ $$$ $$$

194 B. &#"66%""" = P&" *P" P" ' "P P&" "& $0? $ $0 $W $ S 2& ** $0 $W $W M B ** $0 $W 0$ F AB *^ $0 $W 00 >, * $K $ $K 2 *W $K $ $? *V $K $ $V H KV $K $ 6646 ":IJ 7,#,"'& & 2? <HM H H O%H D 2? - ( <HM O%H ) & #6 *"#'&-%&3 & 2? H 3 <HM H,, 3-& H,, H%&,, 6 *"#'& -%& & 2? <HM ( ) O%H!- & " -%& 3, 9 & " 7" #%& & $ 6 ##&%&!&&* -&Z &%&&* & *" 6

195 B4 >e, H "3%$"!CGS < ( 2?,,,,, <HM H,, H ) $ 3 < 2? <HM O%H ( ) "0 "f ( E E) -D! '-& -. H H Yf E E.Z 2? <HM H 2 &!%&'"0"'"46 * &&( -%&, # *&!& * -%&: %&'"0& -%&6 '&%&'"4,'"0& ' *# * -%&:' #&* *& * -%& 36 # *%& &" &"- - && ' &9 7& ' *#6 '" 5 *&*&#%& & ' *# & #&* *"& &&* *&6 & *"%& '" &*"' &, ""(%&'&"'".# 66 - %& ":IJ#7 &* 6 '"57" 2&- &*#6 &," -%&"6 ) " $! * -%&36 '" 0 & 6 ' '& M N67& &%&"7& *"'6

196 "B%$"!!. < -D! ñ ñ 2 ñ & H { } D ( ) ñ 2" 4B"&!&# '& & " # - -.4& 9" '&56 &#"60%"!0 ) - ) ) )) $0? 0K$ $0 $K 2 0$$ $K $* S % W$ $* $ S 2& V$ $0 $? V$ $K $^ W$ $* $W M B W$ $0 $V H $$ $K $N?B 0$$$ $* 0$ F AB W$ $0 00 >, 0K$ $K 0K H V$ $K /4 /2 0 0 /2 /2 =%@AU"UV"=*@#AWWWCQ =#"XC*

197 B0 ; "02%$"!(",98= -6 &8 E J <0^E6-6 $EE && 6? K*E D- 6= $E-0[& 0E...) )&- -K[& KE))C0E)) KE) f.0e)! -6 8= = -[& ))CE)) ) f.e) E...E E & 9? KE - -, E) 6 E 2- -, E) 6E -: :) )&-E...E ;,J -6 -^E & 9

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

199 BB &#"63%)=!"!= = D :6 P&" ( ) D :6 P&" ( ) $0 * 0 $^W 0$$ $^W K 0$$ 0$$ 0$$ 0$$ $W * 0 $^W $$$ $$$ K 0$$ $$$ $$$ $$$ * 0$$ $N $N * 0$$ $$$ $$$ 0 $$ 0$$ $$ 0 $$ $$$ $$$ $K K 0$$ 0$$ 0$$ * 0$$ 0$$ 0$$ 0$$ $V K 0$$ $$$ $$$ * 0$$ $$$ $$$ $$$ 0$$ $$ $$ 0$$ $$$ $$$ $* K 0 0$$ $$$ $$$ K 0$$ $$$ $$$ $$$ $N K 0 0$$ $^W $^W K 0$$ $^W $^W $^W 0 $^W $KW $KW 0 $^W $$$ $$$ $ * K 0$$ $KW $KW $KW 0$ * K 0$$ $$$ $$$ $$$ * 0$$ $$$ $$$ * 0$$ $$$ $$$ 0 $$ 0$$ $$ 0 $$ 0$$ $$ $ K 0$$ $$$ $$$ * 0$$ $$$ $$$ $$ 00 K 0$$ $N $N * 0$$ $N $N $N 0$$ $$$ $$$ 0$$ $$$ $$$ $^ K 0 0$$ $$$ $$$ K 0$$ $$$ $$$ $$$ 0K 0 $$ 0$$ $$ K 0$$ $$$ $$$ * 0$$ $$$ $$$ 0$$ $$$ $$$ $$ &#"6B%""" = P&" *P" P" : "P P&" "& $0? 0K$ $0 0 $K 2 0$$ $K 0 00 >, 0K$ $K $N $N?B 0$$$ $* $^W $? V$ $K $ 0K H V$ $K $

200 BA )"&* -& # )'" '&!&# & &* -&,& *" 2? <HM HH O%H %4'>AD H - *"#'&& 2? 3 <HM H H O%H,, -& 3 H,, H%& -,, E 7&& '&# "!&#6 8 7 '" B, & & *# '" 3%&,& ' '&,!;& & %&&& #&* *"&&* -&6 '"B'&# "" ( :O&;6 3 - '&: -* '&6 ) *,,& ' *# # *&-68 %&3,' *# #&* *&, '&,& " *&#* '"@6 #%&" '",';*7& ' *#! 6 '& &:' *# ( &"- "$"- ( 6 '&"&!&" - #"&( &' *# #&* 6

201 BD "2%$"!" >e, H M2-2? <& O&,! 3 <HM HH O%H f E E. O&,!f E E.C "f ( ). <& -D! '-& H H Yf E E.Z 2 2 2? <HM H 2 ; "0F%$"!=#" 2 J 6? KWE6 8, 8 =: " " 4 " &-&N,' *#"/,0E J <0WE D- 5= $E))- ))&, ) )* C),6 -? KW, -= )) - )) 6 & 88, -, ))E - 8-6E C) E -

202 A/ 9? KVE - -, E)) 6 WE 2- -, E 6E :) )* E C) ; -6 -E 9? KNE? - -, E) 6 E -6? KN! -: $E: 3 E < -6:;? *$! &#"62%"!0 ) - ) ) )) $0? 0W$ $0 $K 2 $$ $K $* S % 0W$ $* $ S 2& 0W$$ $0 $? ^$$ $K $^ 0^W $* $W M B 0^$ $0 $V H W$$ $K $N?B 0^$$ $* 0$ F AB 0^$$ $0 00 >, V$$ $K 0K H N$$ $K

203 A ,.2%&T =%@AU"U0*@#A"U"C* &#"6F%)=!"! = E)) E ( E = ) ) 0W$ $ $0 0W$$ 0^$ $K $ 0^$$ $^ $$ $ ^$$ $ $K W$$ $V V$$ 0 N$$ 0 0W$ $ $* 0^W $* 0^$$ $^

204 A. &#"6:%)=!" = = E)) ( ) ( ) D D ( ) { } D $0 $K $* 0 $ $^ $ K $ $ $ * 0 $K $K 0 $ $ 0 $ 0 $ K $ 0 $ * 0 $V $V 0 $ $ 0 $ $ 0 $ $^ $ K $ $* $* * 0 $ $ $ $V $* &#"0%""" = )) $K $V 6606 )"&* ) #7!&#'& &%&!& &* && *" 2? <HM HH O%H %4'>AD H - *"#'&& 2? 3 <HM H H O%H,, -& 3 H,, H%& -,, 6 7&&MHH@,, &'&# "!&#6

205 A4 '" A & *# '" 3 %&!; & "&&*,&( ' '&6 "F%$"!" >e, H M2-2? <& O&,! 3 <HM HH O%H f E E. $ O&,!f E E.C "0 "f ( ) <& -D! '-& -. H H Yf E E.Z 2 2 2? <HM H 2 *'"B:'"A7& '&,%& &* 6) ' '& 7&& *","-','$"&: '*!6 (# & -2 & &* : & &* -&, " *6, *# *&#%& & ' *# #&* *& '"56 &#2"4D &""!&# '& & - &* *" &* 6

206 ; "0:%$"!= " =: 5 0$$U; 6? *0E J ]5 8 - <0VE 5-6 $E D- 5= $E))- ))&, )- C) )0$$,6 -? *0, -= )) - )) 6 & 88 -, ))6-8 -6E C) )0$$E? *KE - -, E)) 6E 2-6E -: -6 6 : )- E C) )0$$; ^E 8E 9? **E - -, E) 6E -6? **!-: $-: 3 E < -6? *!E

207 A0 &#"0.%"!0 ) < ) ) )) $0? K$$$ $0 $K 2 $$ $K $* S % 0$$ $* $ S 2& 0V$$ $0 $? ^$$ $K $^ 0*$$ $* $W M B 0^$$ $0 $V H W$$ $K $N?B 0K$$ $* 0$ F AB 0$$ $0 00 >, V$$ $K 0K H N$$ $K /5 2/5 3/ =%@AU=*@#AU"U.3*

208 A5 &#"06%)=!"! = E)) E ( E = ) )0$$ ) $0 $K $* K$$$ 0V$$ 0^$$ 0$$ $$ ^$$ W$$ V$$ N$$ 0$$ 0*$$ 0K$$ 0$$ 0$$ 0$$ $^W $$$ $$$ $$$ $$$ $$$ $^W $** $$$ &#"00%)=!"!= E)) ( ) ( ) D D { } D ( ) 0 $$$ 0$$ $$$ $0 K $K 0$$ $K * $VV 0$$ $VV $VV 0$$ $^W $^W 0 $$$ $$$ $$$ K $$$ $$$ $$$ $K * $$ $$$ $$$ $$$ 0$$ $$$ $$$ 0$$ $$$ $$$ 0 $$$ $^W $$$ $* * K $^W $** $** * 0$$ $$$ $$$ $** &#"07%""" = )) $0 $VV

209 AB IV.2. Estrategia de Programa Sugeno '"2!&&&* *& & # &* *& *""&' *& &'6*"&#*& )# 4 # 6@646) (#,, ' ")'"&'6# ' * &&* *& &!"6 ' )'" &' - &$ * W54X6 ' &"%& - 2&- &*#6 " ",&""!"$" *- &&6" &&* &"- $"- 6 "&$ * (&2&& "%& -62&&*"- "$" &&* *& &!-&"-6)&"-& ( 2&6 '& &$ * "'&'&%&"I * ' *# # *&"&"-,&"-& ( 6,(2&6 &$! * '&%& - ( &"-6"-','' * &'&* %&* 6 ' )'" &', &&"!&#%& ''&6"-',"-',- '; #Z"8 - "(&6

210 AA 6.66 %&" "!, '! " 2&-&&*#6 &* && -%&",' *# #&* -& *: &*# - 2&,!( & 2& *, "%&&!* *%& - ')'" &'6) (#, # ' 9 & "3IJ 9 # "!," ' &',&&&* *" 2? <HM H H D 2? O%H ( <HM O%H -) *"# -%&3 & 2? H 3 <HM H )-%&%&& &*" '& 2? <HM O%H!,, -& 3 H,, H%& -,,, K! # &-&,&!- &"& -%& &3,!-& "7" #%&& $ 6 "' )'"&'- 2& *, -&'&& 2?! <HM O%H! '"D!;& "3IJ' &'6

211 AD ":%$"!GS H 2? < ( <HM H H ) 3 2? 2M7>? ( ) <HM O%H! - & - $ M2-2? <HM O%H! <& '-,!& -D! H H Yf E E.Z '- ( ) '-f!& - - "0 '--.#!& '- "f. 2 2 '- < 2? <HM H 2 - '" * H,, H Z *& -%&," &&,%&&&,& $*& "=6'&* -%& $! && # * 6) *& " &,&' *# # *&Z! *%&! # *6) * H,, H,&' *# #&* Z! && # * 6&* &"&"-,(, & 6*&#%&

212 D/ & ' *# # &* ""& ' '&K'"@L6 ) "2" &,2"@/Z &&!""& 2"45' )'" &'6 & -#,&:3#"& -4069" *&&'&A6 &#"03%"!0 ) - ) ) )) $0? $ $0 $K 2 *^ $K $* S % * $* $ S 2& ** $0 $? *V $K $^ K $* $W M B ** $0 $V H KV $K $N?B K $* 0$ F AB * $0 00 >, * $K 0K H $ $* =%@A C@#A2"

213 D ; "7%$"!GS" 6:;? * 8, = : *L ;E J G <0NE6-6 $EE D- 5= $E-0[& ) )* ) -[& C)*) ))C0E))! -? *, - 8E-,6 8 E $E!E - 8 E -66-? *^EG ! 8 J? *^E,8,G - E 6--.#! - E)$* $^ $N 0KE E - 8-8&, -6& & E,? *WE>6

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

215 D4 &#"02%)=!"!= E) ( ) ñ D E) ( ) ñ D 0 $$$ 0$$ $$$ 0 $$$ 0$$ $$$ $0 K $$ $W $$ * 0$$ $W $W $W $W K $$ $W $$ * 0$$ $W $W $W 0$$ $$$ $$$ 0$$ $$$ $$$ 0 $$$ 0$$ $$$ 0 $$$ 0$$ $$$ $K K $$ $$ $$ * 0$$ $$$ $$$ $$ $V K $$ $$ $$ * 0$$ $$$ $$$ $$ 0$$ $$$ $$$ 0$$ $$$ $$$ 0 $$$ 0$$ $$$ 0 $$$ 0$$ $$$ $ K $$ $W $$ * 0$$ $W $W $W 0$ K $$ $W $$ * 0$$ $W $W $W 0$$ $$$ $$$ 0$$ $$$ $$$ 0 $$$ 0$$ $$$ 0 $$$ 0$$ $$$ $ K $$ $$ $$ * 0$$ $$$ $$$ $$ 00 K $$ $$ $$ * 0$$ $$$ $$$ $$ 0$$ $$$ $$$ 0$$ $$$ $$$ &#"0F%""" = ) - ) ) )) $0? $ $0 $W $ S 2& ** $0 $W $W M B ** $0 $W 0$ F AB *^ $0 $W 00 >, * $K $ $K 2 *W $K $ $? *V $K $ $V H KV $K $ 2"" %&' )'"&'! 7&%& - ' '&6 ', "-9 $! '&*" & )'"&'6

216 ":IJ 7 & *" 2? <HM H H O%H D 2? - ( <HM O%H ) & #6 *"#-%&3 & 2? H 3 <HM H,, 3-& H,, H%&,, 6 *"#-%& & 2? <HM O%H ( )!-& &"& -%& & 3,!- & "& 7" #, %& & $ 6 ) * -%&3,!-,%&& 2& * -%&,& &'& 2? 2M7>?! <HM ( ) O%H " -2 &* $" & # : " # * 6 '" / *# ' )'" &' " :IJ &* 6 ' *# # &* *& & ""*&#& ' '&6 *&# *'"56

217 D0 ".%$"!CGS H < ( 2? <HM H H ) 3 2? 2M7>? ( ) <HM O%H! - $ M2-2? ( ) <HM O%H <& '-,!& -D! H H Yf E E.Z '- ( E E) - '-f!& - - "0 '--.0#!!& '- "f. 2 2 < 2? <HM H 2 2"@"&!&# &'& ":IJ6 ; "7.%$"!CGS,98=:M -6 &8 8-;? *NJ <K$E 6-6 $EE D- 5=

218 D5 $E-0[& 0E...) )&- -K[& KE))C0E)) KE) f.0e)!,6 -? *N - 8= - - 8, :; - 8 E -[& ))CE)) ) f.e) 8 =!-[& ))CE)) ) f.e) E...E E & 9? $E - -,E) 6E G- E , E)=$*$^ $W$V0$E 6- G- 8 8,G - X,B E

219 DB -:; 886- & = -6 6) )&-E...E E & 9? 0E E <? K! -6E &#"0:%"!0 ) - ) ) )) $0? 0K$ $0 $K 2 0$$ $K $* S % W$ $* $ S 2& V$ $0 $? V$ $K $^ W$ $* $W M B W$ $0 $V H $$ $K $N?B 0$$$ $* 0$ F AB W$ $0 00 >, 0K$ $K 0K H V$ $K /4 /2 0 0 /2 /2 =%@A. 3C@#A2444Q=#"25

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

221 DD &#"7.%)=!"!= D E) ( ) ñ ( ) ñ ( ) D ñ { }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

222 .// )"&* -& # ""!&#)'" &' %&!&&&&* -& *& *" 2? <HM HH O%H %4'>AD H - " %& & 3%& -2 *! -& & "6 "-9 '&6&7&*" 2? ( ) <HM HH O%H 2M7>? -*%&*" '&, && (( = E ) > >( E )) 3 <HM HH O%H > 2? =,, 3-& H,, H %&-,, 6!-& 3 &6 )'" &'%&!;& " &* -& * '" 6 '", ' *# &* &*&#* '"@6 & &,& * " )'" &' K'" L: '& K'" BL " %& '&#6 '" '&&& & " -& '&#, "" 6), )'" &'&&& 3:&&" 6 " & -! -& '&": '&6'& &-* & '& 6 &$ * & )'"&' -$

223 *! & - &; & " '" '&,"$!* && # * 6./ "..%$"!" H < 2? ( ) <HM HH O%H 2M7>? -E & - $ M2-2? <HM H H > O%H 3 (( = E ) >>( = E )) <& '-,!& -D! H H Yf E E.Z '- ( ) '-f!& - - "0 '--.E#!& '- "f. 2 2 '- < 2? <HM H 2 - &# & 2" " &6!&7 ""&'"'&, 2"4A, # 6@6

224 ./. ; "76%$"!=#", 8=: * ;X J - G < K0E 6 :;? *E $EE D- 5= $E))- ))&, ) )* C),6, 6 = $E))- ))&, ) )* C) - = ))! - ))? &&00E -::N 86E. -E 3 8 E 9-,=$0E))6, # 6, 9 6 -? E G 6-6E 6 -, $K E)) ) )*E? E &B-6 -E < G -6"&? ^!

225 ./4 &#"70%"!0 ) - ) ) )) $0? 0W$ $0 $K 2 $$ $K $* S % 0W$ $* $ S 2& 0W$$ $0 $? ^$$ $K $^ 0^W $* $W M B 0^$ $0 $V H W$$ $K $N?B 0^$$ $* 0$ F AB 0^$$ $0 00 >, V$$ $K 0K H N$$ $K ,6.%&T =%@AU"U0C@#A"U"C &#"77%)=!"! = E)) E ) - $0 $K $* K K * K 0W$ $ 0 0W$$ $K K 0^$ $ * $$ $ 0 ^$$ $ K W$$ $V K V$$ 0 K N$$ 0 K 0W$ $ 0 0^W $* K

226 &#"73%)=!"!= E)) ( ) D ñ ( ) ñ D { } D ( ) ñ $K 0 $ 0 $ K $ 0 $ * 0 $V $V 0 $ $ 0 $ $ $V &#"7B%""" = )) $K $V & -!%& 2"@.,' )'"&'! *68 7;,! 7& ' *# &* *& '&6 "&"2-!9 &(# ' &' '&6 "2- )'"&', & %&:&! &# " ",&''&&&& ""%&)'"&'&&& 3: &&" '& )"&* ) 7 %&$# '- ' &'!&&&* *&, *" 2? <HM HH O%H %4'>AD H -

227 ./0 " %& *! -& '&#6, "-9, '&6&7&*" 2? ( ) <HM HH O%H 2M7>? * -& (( = E ) > >( E )) 3 <HM HH O%H > 2? =,, 3-& H,, H %&-,, 6!-& &36 '".&*# )'"&'" &* 6*&#%&&' *# &#&* *& --! '&6 *&#%&*&*!"," '"56 & -! * '".,%&!;" &*,: '",%&!; " &* -&6 '"., " # * %& %& &*, - %& ;" "$" " &*# 2&6 *%& &#!( & Z - "-9&( &* *&6 " '"., %&!; " &* & ' &', '" A,%&!; "" &''&,-!%&" * '& & # * 6 "7,)'"&'%& &&-! -& '&#: '&Z :-* '&6''&#&&" -& '&#:"" & &&3'&:&*6

228 ./5 ".6%$"!" H < 2? ( ) <HM HH O%H 2M7>? - $ M2-2? <HM H H > O%H 3 (( = E ) >>( = E )) <& '-,!& -D E! H H Yf E E.Z '- ( ) '-f!& - - "0 '--.0#!E!& '- "f. 2 2 < 2? <HM H 2 - &#, 2"@4, & 2" '" & ", "%& "7 " :'! &- 62"&!"" &%&!# ' '&, 2" 4D # 606 ", &!"- :! $ * "" " &6

229 ./B ; "70%$"!= " 6? WE,8=: 5 0$$U;E J < KKE D- 5= $E))- ))&, )- C) )0$$ = ))! - )) J = -[&))CE))? V &&,6E 8 3E -E))C$K, -, #!EE 5,9 6 -? NEG- E))C$* J &B G-E 6JE -6 6 )-E C) )0$$ ^E? N E < 8? $E

230 ./A &#"72%"!0 ) - ) ) )) $0? K$$$ $0 $K 2 $$ $K $* S % 0$$ $* $ S 2& 0V$$ $0 $? ^$$ $K $^ 0*$$ $* $W M B 0^$$ $0 $V H W$$ $K $N?B 0K$$ $* 0$ F AB 0$$ $0 00 >, V$$ $K 0K H N$$ $K /5 2/5 3/ =%@AU=C@#AU"U.3 &#"7F%*)=!"! = E)) E ) )0$$ - $0 $K $* $^ $^ * $^ K$$$ 0$$ $ 0V$$ 0$$ $ 0^$$ 0$$ $ 0$$ $^W $ $$ $$$ 0 ^$$ $$$ K W$$ $$$ * 0$$ $^W $ 0*$$ $** 0 0K$$ $$$ K

231 ./D &#"7:%)=!"!= D E)) ( ) ñ ( ) ñ D { } D ( ) ñ 0 $$$ 0$$ $$$ $0 K $K 0$$ $K * $VV 0$$ $VV $VV 0$$ $^W $^W &#"3%""" = )) $0 $VV & -!%&,2",' )'"&'! *687;,! 7& ' *# #&* *&6"&"2- ' )'" &' '&6 &!", - & &#", - %&''&&&-%& & Z"%&' )'"&'&&& 3:&& 6 IV.3. Estrategia de Programa Derivado $& & '!&# &- # )!#6 '!& & *& -& &! Z" &'"36 ' "7' )'"! 6 & )!#,'-&"-2 " & *&,! * &: ' *# *&! &, &"- &&6",& %&!

232 ./ *&,%&8 & "!2 "(2&# &! 6 )' )'"! &>* &7&! %&&#@ $& 6 '& -& 3 = 7 &!, 7& ' *#6 "" '& & &3 $ "6 7 '" '" 3 %&," "-& &7,'7 7& ' *# *&:# * 6 &-'& $& 7 # '!&# & &&* *&>* %&-2 6) 7'"!:2"%&! *&" ', $ " &- : * %&" 7 & *" 2? (- - ) <HM HH O%H D 2 - ) &,&! 2? ( D (- - - ) ) <HM HH O%H >2 2 3,, -& 3 H,, H%& -, -.,, -,, 6-& -- &7 & "7 7& ' *# *& -, -.,, - -& = &! && '6 >2( D ( ) ) #! K *#5.#. $& L6

233 . '" 4 & *# '" 3%&!;&-%& "'!#6 ".0%$"!# $!"< ", H < 2? >2 D - - ( ( - ) ) <HM H H O%H D (-, -,, ) '-& 2 -! H H Yf E E.Z 2? <HM H 2 & -!%& '" 4! # * H,, H %& - &! 6) * & ' *# #&* *&6' &*&#&:*# '".6 %& #!$ -, -.,, - "!#*&6 2"@@"&!&#-!# &-%&"6 2" # M":N - 06!&7 "" & & 2"!&#'&# 66

234 .. &#"3.%"!0 P&" P" P" ' ' ` ' & : * $0? $ 0^V V 0K$ & $K 2 ** K$$ WW 0$$ $* S % ** 0V* NK 0 $$ O& $ S 2& *^ 0W0 N$ 0K$ & $? *W 0V$ V$ K V$?& $^ *V 0 ^0 * 0$$$?& $W M B *K 0^ ^ K W$ $V H * 0NK 0K$ 0 $$ O& $N?B * 0W 00$ 0$$$ > 0$ F AB K 0W$ ^ K W$ ; "77%$"!"< "" $ =: 8 =?*L, 9 ;E J <K*E6-6 $EE D- 5= $E-[& ) )* C)*) &&C[&C&, C&&), C)!, 3 =

235 .4 -[&.C*0fC*W!&&.C0N$.C*0fC*W![&.C0$$.C*0fC*W!.C.C*0fC*W!.CVW fc0^k! &&.C0N$[&.C0$$ &&.C0N$.C &&.C0N$.CVW fc0^k! [&.C0$$.C [&.C0$$.CVW fc0^k!.c.cvw fc0^k!!, 6 -? 08,E, ,6-E 6 -, )$0$K$*$$N E ? KE? *E ? E J , - -6?!E

236 ,60%&T =%@A Q@#A2"Q@A Q@A.*Q@A.. * QC@=A

237 .0 &#"36%)=!" = :6 P&" ( ) ( ) = ( ) ( ) ( ) = )*) && [&= &, = &&), = ) $0 $ $ $ $ 0 $K 0 0 $ $W 0 $ 0 $ $K $ 0 $V 0 $^ 0 $ $ $N 0 $ $W $ 0 &#"30%")=! :6 P&" ñ ñ 2 ñ 3 ñ 4 ñ 5 $0 0 $ $ $ $ $K $W $ $ 0 0 $ $K $ $V 0 0 $^ $ $ $N 0 0 $W $ $ &#"37%)=!"!= :6 P&" ( ) ñ ( 2) ñ 2 ( 3) ñ 3 D D ( 4) ñ 4 ( 5) ñ 5 D D D { } D ( ) ñ $0 $ $ $ $ $ $ $K $ $ 0 $W $ 0 $ $ $ $ $K $ $ $V $ $ $^ $ $ $^ $N $ $ $W $ $ $W &#"33%""" = P&" *P" P" ' G' H' & : * $K 2 ** K$$ WW 0$$ 0 $N?B * 0W 00$ 0$$$ > $W $V H * 0NK 0K$ 0 $$ O& $^ $0? $ 0^V V 0K$ & $ $ S 2& *^ 0W0 N$ 0K$ & $

238 .5 2"! %&' '"#! "2,,*:7& ' ''&6 "-', # &! "2: $ "= "3IJ6 #,7!&#" ' )'"! &>* *" 2? ( <HM O%H -) D 2? <HM H H O%H & )!#-& 2? <HM H H <= O%H 3 ( 2? 2M7>? ( ) <HM O%H >2( -)),, -& 3 H,, H%&-,, Z-";"%& ( ) 6 D &! -%& 2? (-( ) ) <HM O%H >2,, -&,, %&*,,,&!-: &"& -%& & 3,!- & " 7" -! %& & $ 6 & *# '"%&!;& & "3IJ '-!#6' *# # &* *& & *&# &: *#'"@6

239 .B ".7%$"!# $!GS, H < 2? <= 3 <HM H H O%H ( 2? 2M7>? ( ) <HM O%H >2( -)) < 2? <HM O%H >2( -( ) ). "f ( ) -D! '-& H H Yf E E.Z 2? <HM H 2 & -!%& '" 4 # * - H,, H %& &! 6) & *#*,, %&- &! E#!#!! *-%&3:-%&6 7&2"&( #M":N -0@6 ; "73%$"!GS" $ 8 :M 8 3 * *L ; J <KE 6-6 $E D- 5= $E-0[& ) )* ) -[& C)*) ))C0E))!, =

240 .A -0[& KfC!-[&.C*KfC*^ ))C0E))!, = ) -[&.C*KfC*^ ))CE)),6 -E? -,E, 6 - -, E)= $0 $K $ $$W$V0$00? WE - 3 8J 8 -? NE, 8, C)*) 8 $EE 5 - -, = $0 $ $V 8E J? WE $E 6 J E & -6? VE &? VE <? NE

241 .D &#"3B%"!0 P&" *P" P" ' "P P&" $0? $ $0 $K 2 *^ $K $* S % * $* $ S 2& ** $0 $? *V $K $^ K $* $W M B ** $0 $V H KV $K $N?B K $* 0$ F AB * $0 00 >, * $K 0K H $ $* =%@A C@#A2"

242 ../ &#"32%)=!"! = E) E) E E) E) E $ ** $W $ ** $W $0 $W ** $W $W $W ** $W 0$ * 0$$ 0$ * 0$$ $K $K *^ $$ 00 * 0$$ $V $K *^ $$ 00 * 0$$ $ ** $W $ ** $W $ $W ** $W 0$ $W ** $W 0$ * 0$$ 0$ * 0$$ $ $K *^ $$ 00 * 0$$ 00 $K *^ $$ 00 * 0$$ &#"3F%)=!"!= E) ( ) ñ D E) ( ) ñ D 0 $$$ 0$$ $$$ 0 $$$ 0$$ $$$ $0 K $$ $W $$ $W $W K $$ $W $$ $W * 0$$ $W $W * 0$$ $W $W $K 0 $$$ 0$$ $$$ K $$ $$ $$ $$ $V 0 $$$ 0$$ $$$ K $$ $$ $$ $$ 0 $$$ 0$$ $$$ 0 $$$ 0$$ $$$ $ K $$ $W $$ $W 0$ K $$ $W $$ $W * 0$$ $W $W * 0$$ $W $W $ 0 $$$ 0$$ $$$ K $$ $$ $$ $$ 00 0 $$$ 0$$ $$$ K $$ $$ $$ $$

243 .. &#"3:%""" = P&" *P" P" ' "P P&" "& $0? $ $0 $W $ S 2& ** $0 $W $W M B ** $0 $W 0$ F AB *^ $0 $W 00 >, * $K $ $K 2 *W $K $ $? *V $K $ $V H KV $K $ 2"" %&)'"!!"& *, $ " 7& ' *# ''&"' )'"&'6& &! "-9 $!2 "8!-'&"(# - & 6) &! -%& 3!&& ": $&" " & ":IJ &#,)'"! &" 2? <HM H H O%H D 2? - ( <HM O%H ) & #,&! -%&3 2? <HM H H O%H 3 ( 2? 2M7>?! <HM O%H ) ( 2? 2M7>?! <HM O%H > >2( ) <= -,, -& 3 H,, H%&,, 6 Z ";"K#L%& ( ) D &! -%&

244 ... ( ) > >2( E ) 2? <HM O%H -!-& &"& -%& &3,!-&"&7" #,& %&& $ 6 "&( &&*, 2&-,&-" & ( ) 2? 2M7>?! <HM O%H '"0*# )'"! & :IJ6' *# #&* & *&#* '"56 ".3%$"!# $!CGS, H < 2? <HM H H 3 O%H ( 2? 2M7>?! <HM O%H ) ( 2? 2M7>?! <HM O%H > >2( ) 2? 2M7>?! <HM O%H ( ) < <HM O%H ( ) > >2( E ) 2? - -. "f ( E E) -D! '-& H H Yf E E.Z 2? <HM H 2 <= -

245 ..4 & -!%& '" 0!; " :IJ ' )'"! "7''"4,& ' '&6 *& &! 6 *%& ''&& -%&" &, "' )'"! -&&&6 '& $& %&!9 & &!!'&*6 # -# '"0 $"& &! &!#*&6!7 &#& 2" '", "" %&"%&&#"" &' )'" '&:)'"&', 64: 64,!"6 ; "7B%$"!CGS" $ 2 J 6? ^$8=:M &8 ; J - - < K -6 5 $E 8 D< 5= $E-0[& 0E...) )&- -K[& KE))C0E)) KE) f.0e)! -,=

246 -0[& $EK!-K[& KE))C0E)) KE) f.0e)!fc!-k[& KE))C0E)) KE) f.0e) 0E.C0EKKE! 6 - -, E)=$0$K$$N000K,? ^0E ? ^*E,6 -E - 3-6,J =!-[& ))CE)) ) f.e) - 8 = -[& ))CE)) ) f.e) 0E.C0EKKE, $E - 8-6E...E E & 9? ^0E?,8G- 8 - E ) )&- E...E -6 -^E & 9? ^KE? -

247 ..0, E) 6 E, - E? $EE & ,6 -E< -6? ^*E &#"B%"!0 ') - ) ) )) $0? 0K$ $0 $K 2 0$$ $K $* S % W$ $* $ S 2& V$ $0 $? V$ $K $^ W$ $* $W M B W$ $0 $V H $$ $K $N?B 0$$$ $* 0$ F AB W$ $0 00 >, 0K$ $K 0K H V$ $K /4 /2 0 0 /2 /2 =%@A. 3C@#A2444Q=#"25

248 ..5 &#"B.%)=!"! = :6 P&" :6: 36 P&" 36: ( E >>> E ) $ V$ $N $0 0K$ * $W W$ 0$$ 0$ W$ 0$$ $ V$ 0$$ $K 0$$ $V $$ 0$$ 0K V$ 0$$ $ V$ $V $$ 0$$ $N 0$$$ K $* W$ $^W $^ W$ $^W 0K V$ $N 00 0K$ $ V$ $N $V $$ 0$$ 0K V$ $V $$ 0$$ &#"B6%)=!"!= D :6 P&" ( ) ñ ( ) ñ D { } D ( ) ñ $0 * 0 $^W 0$$ $^W K 0$$ 0$$ 0$$ * 0$$ $N $N 0 $$ 0$$ $$ 0$$ $K K 0$$ 0$$ 0$$ 0$$ * 0$$ 0$$ 0$$ $ 0 $$ 0$$ $$ $$ $N K 0 0$$ $^W $^W K 0$$ $^W $^W $^W 0 $$ 0$$ $$ 00 K 0$$ $N $N $N * 0$$ $N $N 0K 0 $$ 0$$ $$ $$

249 ..B &#"B0%""" = P&" *P" P" : "P P&" "& $0? 0K$ $0 0 $K 2 0$$ $K 0 00 >, 0K$ $K $N $N?B 0$$$ $* $^W $? V$ $K $ 0K H V$ $K $ 2""&& &# " * $ " 7& ' *#, &%&!#6 $&"2 "= ' )'"! ' '&: )'" &'6 $"" & %& &! -%& 3 & & "2%&!& & 6 $* "=6 646@6 )"&* -&!&," ' )'"!,& & &* -& *& *" 2? <HM HH O%H %4'>AD H - )!&&&! 2? <HM HH O%H %4'>A 2M7>? > >2 (-) ( ) >= ";"%& ( ) 6 D &! -*! & &2& " 2? 3 <HM HH O%H = E > > = E > > >2 (-)

250 ..A,, -& 3 H,, H%&-X!-: &*- &! 6 '" 5 & *# '" 3 %&!; & "&* -&,!#6' *# # &* & " *&# &: *#'"@6 ".B%$"!# $!", H < 2? <HM HH O%H > >2( -) %4'>A 2M7>? >= < (-) ( ) 2? 3 <HM HH O%H = E > > = E > > >2. "f ( ) -D! '-& H H Yf E E.Z 2? <HM H 2 '"53-'& :- * '&6) * ' *# # *& - - & 6) '& 3, & ' *# #&* *&6#%&*-" &!,&!'&*:7& ' *#6 '& 2& & & -#6 " ",!# *&, $ " %& #6 -

251 ..D &# &2" # ""6 ; "72%$"!=#"" $ 6? ^E 6 8, 8 =: * 9 ; J < K^E D< 5= $E))- ))&, ) )* C), = ))-[&.CVW fc0^k ))&,!.CK 2-8,= -[& ))CE)).CVW fc0^k? ^,8 6--, $KE)) E,6 -E? ^ J 8 6* - $K 6,6E - 8-6E C) E 9? ^E ) )*E C) -6 -E & 9? ^^E <? ^WE

252 .4/ &#"B7%"!0 ) - ) ) )) $0? 0W$ $0 $K 2 $$ $K $* S % 0W$ $* $ S 2& 0W$$ $0 $? ^$$ $K $^ 0^W $* $W M B 0^$ $0 $V H W$$ $K $N?B 0^$$ $* 0$ F AB 0^$$ $0 00 >, V$$ $K 0K H N$$ $K ,6B%&T =%@A C@#A &#"B3%)=!"! = E)) E ) $K W$$ V$$ N$$ $V 0 0

253 .4 &#"BB%)=!"!= E)) ( ) D ñ ( ) ñ D { } D ( ) ñ $K 0 $ 0 $ K $ 0 $ * 0 $V $V $V &#"B2%""" = )) $K $V 2"! &# ;" :7& )'"! )"&* ) %&$)'"! & *" 2? <HM HH O%H %4'>AD H - &! 2? 2M7>? <HM ( HH ) HO%H > >2( -) %4'>A ( ) 2? 2M7>? ( ) <HM H H >= O%H = HE > > = HE ";"K#L%& ( ) D &! -*! & & " '& 2? 3 <HM HH O%H = E > > = E > > >2 (-)

254 .4.,, -& 3 H,, H%&-X!-: &*- &! 6 - & &* '&, && ( ) 2? 2M7>? <HM H H = E > > O%H > = E '" 3%&!;& " &* &( &' )'"! *'"B6' *# &&* *&&';'"56 ".2%$"!# $!", H < 2? 2M7>? <HM %4'>A ( H H ) HO%H > >2( -) ( ) 2? 2M7>? ( ) >= = HE <HM HH > > = HE ( ) 2? 2M7>? <HM H H O%H = E > > = E (-) < 2? 3 <HM HH O%H = E > > = E > > >2. "f ( ) -D! '-& - > H H Yf E E.Z 2? <HM H 2 O%H * '" B: '" A & &! 6'"A, '&& &

255 .44 -%&6'"B -&( &&%& '&* -%& - #!#6 &# "& 2&# '"" & 2"6 %&"! ""%& & 2"! '6 ; "7F%$"!= " $ 2 J 6? ^VE6 8, 8 =:J 5 0$$U; J ] <KWE 8 D-= $E))- ))&, )- C) )0$$, = ))-0[&.C0*$ ))&,!.C $^!-[& ))C0E))!, -, = -[& ))CE)).C0*$ =!-[& ))CE))

256 6 &,J 88, -,))E- 8-6E C) )0$$E & 9? ^N? ^N 9-6 -, E B E,8& 6 E 6,6E? J,8-6-, $EE J6,6E 9,6-E )- E C) )0$$ -6 -^E,J E? W$E? W0 - E &#"BF%"! "C"; "7F ) - ) ) )) $0? K$$$ $0 $K 2 $$ $K $* S % 0$$ $* $ S 2& 0V$$ $0 $? ^$$ $K $^ 0*$$ $* $W M B 0^$$ $0 $V H W$$ $K $N?B 0K$$ $* 0$ F AB 0$$ $0 00 >, V$$ $K 0K H N$$ $K

257 .40!&# &"&%& # )!# "-2 ;" *:!& *&6 $%&'&!&"2 "=%& '&:)'" &'6 -, & & 3", %& "2 &! $"& " /5 2/5 3/ =%@A3C@#A 6,, &#"B:%)=!"! = E)) E ) )0$$ $0 K$$$ 0V$$ 0^$$ 0$$ 0$$ 0$$ 0$$ $^W &#"2%)=!"!= D E)) ( ) ñ ( ) ñ D 0 $$$ 0$$ $$$ $0 K $K 0$$ $K * $VV 0$$ $VV 0$$ $^W $^W { } $VV D ( ) ñ

258 .45 &#"2.%""" = )) $0 $VV IV.4. Estrategia de Consulta Derivada &&8%&" " *&&, &!&! '%& -2!&# & *& ' 8 6 ' & &! " *&7& ' *# # &* *&6&# "7' &! 6 # ' "-2, 3!& & *&,! * ;: 7& ' *#,:! "-9 -' - & '" 3 & *&6 ' 8 $& " : 3: "( '&" & *&6 *# ' &! && & *&"7%&&- # )!# %& " *& & ' *# *&6)" & & ' *#, -''&7&&3]6 ": ", " *& -& " '&" & &! %& & ' *# *-%&'&6 "7, " "&*,"-9&&&- '&6

259 .4B 7 2"!&# &, " '!&#, ( " %&, * ""%&' )'"! 6'& (#%&!&# 8, "%& " " &6 - %&"','"2 & -$ & -*%& & - & '6 -&& "= "',*,"2!&# &' %&$6 6@66 %&" #7!&#" ' &! %&" &&%&3 >*& && &" *"'& 2? (- - ) <HM HH O%H D 2 - ) &, ' &! &7 &- '&, & - )!#, " * %&= '!&# 2? - <HM H H 2 O%H >2 ( 3 D ( )) ( D (- - - ) ) 2 3 -& H H %& Z ( D ( ) ) #! 6 >2 ( ) &! " - D (- - ),%& 3 2 -!*&#* '".6""*&#%&&

260 .4A "" " &* *& *"46 "3IJ 9!&# %&" &&%& 3 " & &* *& & &* -&6 & &"&& ">* 2? ( <HM O%H -) D 2? <HM H H O%H ) & *&, & )!#: = "%&%& ' &!,!#*&#:7&& ",-& 2? <HM H H - D 2? ( 3 ) <HM O%H >2( -) -! <= O%H 2 ( 2? 2M7>? ( ) <HM O%H >2( -)) 3 -& H H %&-X -& %&-Z: ";"%& ( ) 6 D &! " *&# -( DE2? ) 6*&#*'"@6Y ""*&#%&& '6-!"-9 " *&# -, & & ' *# # *& -6 & *# #$""6

261 .4D ":IJ 7, #, # ' &! %&" &&3 " &>* *" 2? - <HM H H ( <HM O%H ) D 2? O%H & #6 & *&!;" &! %&-" )!#: " *&!%& %& ' &! : = 7&& "6 &'& 2? <HM H H - D 2? 2? 2M7>?! O%H ( ) <HM O%H > >2( ) ( ) ( 2? 2M7>? ( ) <HM O%H ) ( 2? 2M7>? ( ) <HM O%H > >2( ) 2 - <HM O%H <= - - ";"K#L%& ( ) 6 D &7&&& " *&# 7& ' #&* - ( DE2? ) 6*&# ""%&& &'!&#,& *#%&9 '"56

262 )"&* -& 9 # & ' &! 6 & %&" &&%& 3 >*" & & & &* *& -&6 & *" 2? <HM H H O%H %4'>ADH - )", )!# & & *& &&,&' " *&%&"""!&# &! Z:*" '' 7&& " '; ' *# #&* 6&%&- && 2? <HM - D! 2? ( 3 ) (-) ( H H ) HO%H > >2( -) %4'>A 2M7>? ( ) >= 2 - = HE >> = HE > > >2 <HM H H O%H 3-& H H%&-: " 6 ;"%& ( ) D &! " *&# -( DE2? ) *&#*'"@6""*&#%& & '6*&# %&&' *# # *&-6 - &*# #$""6 6

263 )"&* )," ' &!,!&&&>* &* -& *& *" 2? <HM H H O%H %4'>AD H - &! %&- & ' 2? <HM - D! ( 3 ) (-) ( ) <HM ( H H ) HO%H > >2( -) 2M7>? 2? ( ) >=! 2 = HE >> > >2 2? 2M7>? H H O%H = HE >> = HE > - %4'>A 2? 2M7>? ( ) <HM H H = HE <HM H H O%H > O%H = HE >> = HE > 3-& H H%&-X: " 6 ;"K#L%& ( ) D &! " -( DE2? ) %&! *&# * '" 5, ""%& & '6 *&# %&&' *#-6 -

264 IV.5. Balance del Captulo & &""!&# & &* *&6 )'" '&, )'" &', )'"!#: &! 6 " %& & & &* *&%&"- *"6 )'" '&& "!&# &, &! " &,! &6 - "" - & 7"&: " %& $ "=6 " ' *,& &2&& & &,"%&' -&&& 6 ' )'"&'"2" &&* *&" * 6'&"2 "!&# &%&''&,%&&&$!!#" - 6' 7 -%& & &* (Z%&'& * $"&' *# *! &6 " '&2"%&' & * :!&# *& ' '&6 "-', "" &$ *! &68 7 ; ' "& 2&-"%& ' &&* -&6 ' )'"!,-&'" 3," ''&,&! %&-*!6 "&"2%& ' '&: ' )'" &', %&'"7;" *%&6*"# & " 2" &%&- '6"-',

265 3' & - "2 && 6 "&& 3" "=6 ' &!!# *& :7, 2!&#"" 8 6"! "!&# 3: '$ "(#6 -, &! "7 "2%& ',: $*&'! "=6 "7,8! " *&# &, ' $&(6 $; & & "=!&!! %&" : '6 & & & -&# #: 7 -"!&# & &* *&6 - &# 3 &* " ' '"7 & & & 6 &9 %& ""!&#! ", %&%&"(" " &6&:%&:%& &&! '&6

266

267 Captulo V. ANLISIS DE DESEMPEO -" '#*3- - #& & "7 %& "-9 & 76 " = ", 9! "" *!&# & &* *&6, $& &" ' )'" '&! & &* >*Z "", """2 )'" &',)'"! : &! 6-2! &7 "= ""6) & &* *& >*, " &7 '& &"2 "=6 &!";" * & "= &6 ;"7 & *& ' *# *&!& -& & *, %&7& ' && - " )6)(#,&"""2 " -2"-;" * " &6 ' )'"&' *-" '&& & # *6 # # 2& * 67& &"& " "6 '& ' K&: '&L,&-& * 68 7;,%& &2& # * %&3$ *,&'& '&#' *# # *&6, # * & : : "&*6

268 ' )'"! -2 -& &-2& * ' " &&,- &!#6&-2& * " & 2& *%& " " 7& ' *# # *&6 ', " ( 7&6-, &&* *&, &!#"&:"2,":$ 6 & %& *&(&( # *,, & &"' "6 ' &! " * - #!#6" & *&: & '" 3, %& "" &!, " " *&6 2-2 &>,& & " 8 '& "(6 &$ & "2 "=6-"2 7& ' *#-' & -2 " *&#6 - $ " - "" &,!&& "=3" 6&#, &7 "= "%&-3"#:& " $6) =73"6""," = 7-"73" *"#"$" 3"6 "=*& "7 *"":' -267 & %&%&* *-!, "%& &!, ",, * '!&#67&:# $&6 V.. Alcance del Estudio Experimental " = ", >* "&! & &* *&6 # 7 &%&&

269 &* *&"-*"6"-# - &&* *&6 "- - **# &* *&: && & >*6 & & &( & '& &* *&-&:6&* *&& * &"",: " 6>*! && &%&", ": )"Z &!6 ' 3"# &"7!6 ) &! %&! "7 3 '& && &%&!"& 6 &# "- && &: &* *&%&! & 6 # 7 '( & && &>*6 666 %&" >*! &&-%&"6" "7 & *&, *,&;" %& *6&&- &#&* *& *"46 """-*"3 && 2? (- - ) <HM HH O%H D 2 - "&*#-,!&!&# &* & 6 " ' & &* -& 6-3 %&!& * &* *&K!# 6@6@L6%&!-*"%& 6," &," "= &# &6

270 &&* *& -%&"",&& *& '!6 & &- &#&* *& && & 2? ( )( - - ) <HM HH O%H D '& &"-*"#'& & '!-& && &* -&6 "- & %&! &-%& " "K!)#@# 6@6L 66.6 " "-9 : & & " >* " 3IJ: :IJ6 " 3IJ & 3# && "- >,& &&* *&!( &* 7 6&""& &* -&:- *"6&3 ( 2? <HM O%H -) 2? <HM H H O%H D ":IJ&&" *&&' > "&* ], "7" %&"=&* & "-96&-*".6&3 ( <HM O%H -) 2? <HM H H O%H - D 2? #&* *& *"."-& *" # "K& /L,& &&&* -& *&6 '& K& BL & &*# -& &-2&- * & #,"&* & -&6 " :IJ &* -& & " "3IJ6) ":IJ7

271 & 3"& 96) ":IJ &* & "&&%&& " 3IJ,%& "3IJ#"&* -&6 7 # & :IJ &* : &-& 76 & & - %&! &* *&K#.6@6@L,%&&&* &" & *" %&& &* 6 %&,9 ',! -& &* )" ""-9" && &6" -*"6-2&*# 2& * '& %&*& # *&6&& &% 2? <HM HH O%H %4'>A D H -,# &* -&: 6& & &* *&,-&, '&7& ' *#6 )&%& &*, - 6) " &* " &* 6 &9 %& * %&! *" *" &* *&36 && & "&*#- ;" *%&*& #' &&-2& *& '&6 -# *".6&3 2? <HM H H O%H AHM7@ %4'>AD - H - 2

272 .0/ %&D&&* :- 0 & #, && "- *", 7*& -26"-',& D&&* -&- 0 & # & - & %&!& && & K- # *" L6 %&! "!3" &6 66@6 &"! 2&* # && &%& 7-2 3"# 7 "=6)%& ' ":,# &"&# %&" 2? (- - ) <HM HH O%H D 2 - D&&* -&6 "3IJ ( 2? <HM O%H -) 2? <HM H H O%H D D&&* -&6 ":IJ ( <HM O%H ) 2? <HM H H O%H - D 2? D&&* )"K"L 2? <HM HH O%H %4'>A D H - D&&* -&6

273 .0 )"K'& L 2? <HM HH O%H %4'>A D H - D&&* 6 V.2. Prototipo de SQLf )!-3"&:#& " & *3--- %&!&""!&#& )'" '&,)'" &',)'"! : &! 6 # '*& 7 & 36 3"# ' " &"# & )*" H%&& :3"# &"& %&&,)&",AD08 G(,0.8 "" 8 :./ &, "! G&3!#A6/6 "!&"- *H6 7& -8D,&*&9' '&$#%&'&6, & " *& * &&, -' &! 6&# &'&2" K)R>L%& * **&%&&' *#,: "7"&:! "" ' )'" '&, &':! &&'&236 - %&!2& ' *# *&, "'"*&&! &* *&6 ' ;" - 3"6

274 .0. " %&%& %& 7 : "7 Z *" ' " &, & ""!&# 6-2 & &,& #), - %&'&2" **7" 3 "7 '&26 & ` )!#06/%&*H %&& %&& "&'&.A67 "& '"6"&,&*&# "'":! ' ""!&# &6)'(%& "-3","# &-'':8 %& &6'& '" &6Y"&! " >*%&*&!&:'&6 &' &! " )R>%&& & & & ""!&#6;"'"8,%& 2&! " )R>, & & *&6 2 O'?! D-? O' /D M H!,6F%<

275 ! && & >* %&!& &* *&, $ " '&2 *# 9" *& WA0X6 '&$7= '&2* :6 " $ * '& 936 ":;&:";&,#"";&-! >*: &%& * * &&6 Y;", " - "(";&:&7*-96"&#93 - * ""#) *-! >* " : &:"&" && )6 "", " &%& " & &,"& )6 '& $&# &&!&#K!L6" ""!&# & -2, &&#"' ""!&# 6 &# -" '!&# ]6 $%&!3 & & >*6 *#' >*, :)!WDX,-#* 7&& Z "-', &!! &!: W0,0.,04X,"7' = '&2,*# -# 7&&` G,%&,&!* &%&&>*6 7&&6 &$&# &#6&# & *!"%& & &' & 6#%&"" "&#'-8 6%& *# 8,*"#--!&

276 &6 & - & &# 6 &9 %& = &&&* 3"# '!&#&-26 ;"$&# "#>,"7&&6 V.3. Diseo de Experimentos!&# "= 7& &"9 %& "&" $*"6 "9 3 *&!*! -! 3"6 " &* " #!#&,&3*6 "( & "=, ;" *: &! &&" 36 " -$ & ;" *: ' %&9%&":!& "=6 --%&9 7& 3",,!- &%&7" :*%&7" &68 7;, - 3"%&!7-6* :& *! "3"6", -&" 7 $ & 3" " &*& ( - # ) - ) )&&[& - ))!6-& &&[& &- &" *&6-&)! "6 -& )) &!*7 # E;"#7& &3"6"-', -& )) &7 " -& '&# & :

277 -& #& 6! " # - "& * & 3" - "' " '9 "&! "- $*, "%& 3",&!(&-,7"7*7"$ &%&!' & &'")R> %&'&"&" "& = 3"6# '*& ' &!3 &"6 * # "-7"&7"K*L 3"6;" *#7 //* #E!!""-' "&6 -&- ) ):- *&# ) E!!*7))' "!!7 # 6 -&&!A:50= 6-&&& &!./:./$" 6-&[&&! 0/: 0/ J'"6 -& &!! 9"h:5h6-& &!%&//:4/// #" &!-%& -! 3" "!- &6 Y&&"" "" "67 "= " & *&6"# & 3""!-63& -! # '6

278 " *3"%& 7"&:!" * 3", "&*!- &6 *& " *!6) = 3" ' '&!-& *6! "! *6"-# *:!& 3" "7 = 3" & 6, "7 * & " & 6 * '&!&K':L,!&" *3# #K&"L:! &( &K!:L "* '&! &6-2! & -&"# '&, - & 3"6 %&' *6 %&*'&'*& "=!&# &6 *'&!)'" '&Ki!L,)'"&' K&'L,)'"! K! L: &! K>&:L,!"6 7*$"-,,& &"-9$"-0K *:!i!,&',! :>&:,!"6 - %&' )'"&'-%&" &," " # 6466 )*3",*7"&7' -&!&6!9! " 63& -!!6 $&, & -""%&$ ""!&#6 %& ' )'" '& '

279 .0B "=6' )'"&',%&'&"2 "= ", "%&, ' "" "=%& )'" '&6 %& ' )'"! - & "="&"2Z "-', & & # &"7 "2 %& 8 $ "& "":!6 ", %&' &! '& "="' )'"! 6;$,3' &3 - '&7& &,!2 "8,! & %&& 3 *- &6 &#'',, "= '&!*&# * & & "=-" - 6"&&,!&" &*%& - 6" "!&" 6, (- %& # *!&":*' $*& "=6 " & ",& %&,&- -,& )'" '&&-&#,6 "", & #' %&!&# - "2 #--,!&#)'"!, 2&* &!&" -26 %& # *!&": ' ' '*#6 '!;" $ & *3"" '6 )&-, : *!;" -6), - -! & 6 *!*!&",%&!$'; *- -," '&4K3L@//*,?K"&LA//*,K)%&=L5//*, K8 L 40//*, K L B///*: 7

280 .0A * $"-4,%&&$"-40,4K,4*44:4^!4?:,!" ! *! &$ &%&& *&" " ""6 "! %& & & &: # #"&" *6&"7! " %& # #"7*&6# 6.6., &#*"! &>6 *#*"! &>* &2# 6@6 &&>*,&!! #"-&! -# j, "- & &&:!& 6) & 3", '!! [ K2L g C $EK, K8 LgC$E:%&KLgC$EW6 7*$"-?,%& & &$"-?0,?K:?*![:%&,!"6 )! * 2&# 3", "", &! " " #"-!"$" *#%&*7&&` G &6 %& # *! : ' '& *&'*!3 "=3" & *&, 646@6 2 ',;" -& 3"*Z$%& - *2 "6"-', -'&&& 3" '!"-, " %&-'*"#!6 #&!&- &&& ""6 & -!#6 &&-"

281 .0D! &$ -&6 - %&""!&# &:( -2 ="&#'-&8 Z "&&&*$"&:"6&($ %& $ :& "= '& '6 *& && & %&$Z $" &#&&, 6 & %&,*27 :&* *& &6 = 9" *&& ", "%&!6" ' -&&*", * 9" *&"-9,",M&*"N6 &#, = && 6#%& -#j &%&7 &!-%&*! & 3"6 7"! & &7%&"MM -6 8 =*L,J, N6 & & 3 >*" &-%&"6 & 9" *&!& - * >* 3&6 &'& *9" *&>* % 3993) )*0*33!E 399)*) $EE0K$*$*K*^*V!E 399$EE*$$0V$K$$33!E 399&,$EEK$$V$0K$33!E 399&&),$EE^K^33!E 399) $EE*$$$W$0$$$0$$0W$!E 9" *&,*'&&>* ) - ) )&&[& - ))3:.) )*C)*) &&C[&C &, C&&), C)!:. %ëe

282 .5/! " &736 7" 02(;3; %&" MM $ L N & 3 >*" & "3IJ6&& & 6 && - * *& M $ L N:&* *&M N6 *2'&9" *&, * && % 3993) )K$--!E 399)$) $EE0K$*0*^WK!E #%& *# )$) & & -"6 && & * *# &%& 9" *& :@60 '6 9",%&"*>* ) - ) )&&[& - ))30:.) ) ) 3:. C)$) ))C0E))!:. %ëe! " &736 7" (;3 ; %&" ' & "= " :IJ :M -6 &8 ;E &7 &* '<$ : ; * :) )&-;E" '<$:& 8;" $"-:...;E *2'&9" *&, * &&,>*,$

283 .5 *3993) )&-$EK$E$33!E /!00E33!E *%&" &&'&&>* ) - ) ) - ))3 0:.0E...) )&- 3K:. KE))C0E))KE) f.0e)!:. % ëee! " &736 7"" ; ;3% ; ) & & '& %&" && : $ ;6 9" *&!& *>*$ 399) $EE*$$$$$W$0$$0W$!E % 3993) )$K$33!E 9",%&"*>* ))3%)).*) )$ C ) :. %ëe! " &736 7"6 ; ;3 ;, '& %&" && : 5 0$$U;6 9"'<$!& *>*"'& 399) )0$$$EE*$$$0K$$0$$33!E *3993 )-$E$EW3#3!E %&" &&3'&&>* ))3%)).* )- C ) )0$$:. %ëe! " &736

284 " "96%&!,96-,!7-9 3",-#697 " " ' & =*"& 3"6, 7 *" : &!6 =" & *& *: &6 -"!!- &, "-#- * &!6! '" 3" &( 6 " &:& 3#! -!!- & "& "-# *& * 3" &!6) 3", &&#* : &!6 # & '& -6 $ "-9 & &"#! *,& -*"&" 6 &#"26%, - 5 > - >,0 >,K >,* >, >, >,^ 0 >,, D ######### ######### K 4 4 ^ 4? *??, * [ %& ######### ######### ######### & =* ", ;" 3" ( ç = -, ;" *: - ;"!*-E$,, ç = 726 -%&9& 3"*7 "26), "" & & &" *"6 Ğ - =

285 .54! &*"-#!!*-&:!!- &-! 6-&#"*6& " *""!- &6" 3&! -! " &" "! -!! *! *"-! *6 ", & =* " *, : * # 6* & *6* ó > ó *6G: ó 6),;" *" = 2, 2 7 ó 3 = 6 ó = " 3"&& 3 EEE 43? = 43? 4? 4? 3 3 3!-!!3 *4:?,!"Z EEE " "9!-! 3"Z < * *<!,<Y4?Z << * #*<_:<! _:,!", *<_< Y4?ZZ: 4? 3 * # *4:?!3:,!"6

286 " 3*& *:& & 3"6"-','&* $ &*&'*!6)," $2&7 & 3"-&" %&3%&"2"" 3"6"" ",9 " 677!-&( *H $6 V.4. Anlisis de los Resultados $&-3"#6$&, & * &6),!- 3" & $&,& $&,%& & &!! "-! 6 " '$7 & 3"'& )","3"'*H $Z&', &" 3"%&&3 ' 6 *;7!(K-L" 6 -"&*& *:&6&" - ' - K*, '** "L,&" & K&"%, &"*%&L," & K8 %L,!& : *!-& K)KQLL6;""7" &"68 "7,"7'!*# 6 &%&* &%& # * *&!- &, -, & -, &" "7 *!6 " 2& - - :" " &&-6& %&$, *&, &%& " * " 2& *"& 3"6

287 .50 '"7" " 6) &, '* " " -! 6 &' ( ""!-& *!:"- *6 $*"'(*- & 76 &# ( & 3", &( " '$ 6) & ""!&#"7 & & & "=6 6@66 %&" " -! $ ",",7-B46 &#"20% " Y"< " Df Sum Sq Mean Sq F value Pr(>F) Volume < 2.2e-6 *** Selectivity < 2.2e-6 *** Strategy < 2.2e-6 *** Volume:Selectivity < 2.2e-6 *** Volume:Strategy < 2.2e-6 *** Selectivity:Strategy < 2.2e-6 *** Volume:Selectivity:Strategy e-3 *** Residuals Signif. codes: 0 `***' 0.00 `**' 0.0 `*' 0.05 `.' 0. ` ' -B4,"&%&" ' 2&"&:- 6 " *"%& &! & "=& 3", &%& 7"!7 6 & -!%& *"&:'*!3& 6), '*: ( ""6 *" # - '*# * ' : & 6 : ( '7*, -%&' )'"&'-%& &",'*27'7*6

288 .55,6:%!"G "< "

289 .5B ( '&.D& -!,"#',%&" " &"*""!&" * " ' &! -"* ', "!&" 6 -! "7%& "' )'" '&: )'"! "&:", " )'"! '" " " " ' )'" '&6 "2" ' &! &0/O ' )'" '&6 "&# " -%& ' " ""2 -, " 7& ' *# *"""' 6- # )!#, ' *# & # %& *%&&"&"-- -#6 ' )'" '&:)'"!,2& * : &9&'" -!2& * &' *#6 I36 * ' )'"! : ' )'" '& - %& ' )'"! -2 & &-2& *' )!#Z"%&' )'" '&-2 * #-6 ' )'" '&!&7&3-' *# *%&7( -#6)," )!#, ' )'"! # & ' *#%& *%&&"&"-* -#6

290 .5A,0%!"$G "< "

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292 .B/,0.%!"G"$ "< "

293 .B "! '7* ' # * &":! " " &-%& ", '& 4"&%& "!&": " & :! 6&!! "7&!%&&!" : -2! 6 -%&&! "-2;" * - 6 "! -2:! " "&:6) 3 - %&! 3" - " "$"' *# * -# &6! ' 7"*&/6.0 K-2! L,/60 K! " L:/6B0K! L6&%&/607" /6.0:/6B0, *- &"-/607" 2& *- &"-/6.0:/6B06 & & 3", & *2& # - # &""!&# -%& & "%&!& &* *&6&:%&' &! """7 & &6 # *!&":''&.D:*! :' '& 4/,"& "%& "" ' &! "2%&"" '6 "-', ' &! & '& ""2 -, & "" ' - " *& * &&&6 7"&8 6' )'"! -$ ""!&# &( & -%& ", & &"2 "=%&' '&6

294 .B. "3IJ&* " -! $ " "7-B@6 &#"27% GS= = Df Sum Sq Mean Sq F value Pr(>F) Volume < 2.2e-6 *** Selectivity < 2.2e-6 *** Strategy < 2.2e-6 *** Volume:Selectivity < 2.2e-6 *** Volume:Strategy < 2.2e-6 *** Selectivity:Strategy < 2.2e-6 *** Volume:Selectivity:Strategy < 2.2e-6 *** Residuals Signif. Codes: 0 `***' 0.00 `**' 0.0 `*' 0.05 `.' 0. ` ' "= " 3IJ &* K- B@L,"&%& " * " * &",! :',2*" 6,& 3", & ' & *& * "= "3IJ&*,&%& 3"7"!7 6 -B@*2%& * "&: '*! 3 ""!- &6 & '*:("-! "*&# *6*" # = 3" '*! *' :&6

295 .B4,06%!"G GS

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298 .B5,00%!"$G "GS

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300 .BA,07%!"G"$ GS

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302 .A/,03%!"G CGS

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304 .A.,0B%!"$G CGS

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306 CGS

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308 .A5,0F%!"G =#"

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311 .AD,0:%!"$G=#"

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313 .D,7%!"G"$ =#"

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315 .D4,7.%!"G = "

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318 .D5,76%!"$G = "

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320 .DA,70%!"G"$ = "

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322 4//! %&":&),%&9 '& "2 "= &6&"7"2 " %&,,!# "& &&,' '&: )'"&'& &(&&6 %&$;&& '& *& $ 6 $ && "(#,& & " " >V6"",$3"#!;" "7, & - 3 : 3 6 *" H& -2" "" "$"&8 6- &*&'! " &"7"26$ -%&,-2, &(& *" ": ""6 "", $; & *& "" "=6 &,-! ;" ""&, %&&&" "&"9 "=-" & - 6 $ -!!- & #3" -26 "-', 7& ' *# *& %& & *& & -" " ' " )6 $",-2*&&," ),;" : " 6

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327 4/0 &-2!,-$3 ;&# & &* *&,-$ -2 && *" "=6 )'" '& * #KL%& &, "!2!& 6 ' 7- &7"&:": $& '! "=, " 6"-', "' *,&,9 $& &,"%& ' -&&&&3*6 )'" &'"2 " & )'" '&6"2" *%&!!# " - 6 -%& & &*# ( ', &%& $! '& * " 9 & ' *#! &6"" &$ *! &6'"& 2&-,"%& ' &&* -&6 )'"! - '" 3 " ' '&, & &! - *!6 &! - &&* *&,*&"26 &! 2!&#"8 6Y"! "!&# 3: '$ "(#6 -, '& 8!* " *& * && &,%&,,$-&'6 & " & *& ""!&#&6,&& $ *" "=6 3"#*& && & '& %& " &* -& Z " 3IJ &*

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329 4/B *"": ""6"",$;& *& "" "= & *&6 -! ;" ""&,%&&&" "&"9 "=-" - 6 $ -! #3" -26 "-', 7& ' *# *&%&& *&&-" )6 $ ", -2*&&, ;", " :" )6 & -2 $ & " & - ""# & " & 3-, ""!&# &' 6,& 7-2 ""&- &8 "::"'# """7& 36 $ ' & *# & "( & *&6G: $,& '&8 # '-,- "" "( 6 "-2' & *" %&!, " ; - -" & && "- *",*".6),7,", &# & & - 6 '&-2 #,"" :& 6!( " #,7-"" " '$!'#& -2 "" *!&#67" #3"-26

330

331 4/D REFERENCIAS BIBLIOGRFICAS WX '&,6_,6,8&((: &!8,) '*B & ' ' %& * "&' kdd,, &,KDDDL,I8 6 W.X '&,6_,6,&((: &!8 "",) '* 5&' '%& *"&' kda,, &,6.,KDDAL,)6B0DIB5@6 W4X '&, 6_, 6, " &! *&, " - *"7 kdb, *',,KDDBL,)6..AI.446 W@X,6,'!,]6_ ",?6,%&!"'3, 8?&* "&',6A,l.,KDBDL,)6.AI.@56 W0X 2,6_'*,6, ""# '&2 '3- >*6 *" ): '$ "&#,! "#$!,(&,KDDDL W5X, )6 _, 6,!& * " >* >&, [[I R kd0` J&((:-:" *"!,]J",?,KDD0L,)6.0I4/6 WBX,)6_ -&', 8 6, 3')* &((:, *" :", 6@,l5,KDADL,)6@D4I@DD6 WAX,)6_9,6,"*&' %&&((: '*!& * >&* ",) ' * 4 & ' '%& * "&' kd0,, &,KDD0L,)6 B/DI B56

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340 4A

341 4D ANEXOS 6 ) ) / 6G 8) G 8) @ 6 8)> 8) ) 8 I \ A 6 8) 8 ]I \ G6 8)) @ 6 8)) 8 )) B

342 4./ Anexo A. Cdigo Fuente de Prototipo -&& # '*& :'&!

343 4. Anexo B. Archivo de Comandos para la Definicin de Datos create table departament( dep_number number primary key, dep_name varchar(60), budget number, location varchar(80) ); create table employee( id_number number primary key, first_name varchar(30), last_name varchar(30), age number, height number, weight number, studies number, salary number, profession varchar(30), emp_dep_num number references departament(dep_number) ); create index dep_name_idx on departament(dep_name); create index budget_idx on departament(budget); create index location_idx on departament(location); create index first_name_idx on employee(first_name); create index last_name_idx on employee(last_name); create index age_idx on employee(age); create index height_idx on employee(height); create index weight_idx on employee(weight); create index studies_idx on employee(studies); create index salary_idx on employee(salary); create index profession_idx on employee(profession); create index emp_dep_num_idx on employee(emp_dep_num);

344 4.. Anexo C. Generador de Datos create or replace function my_random( low binary_integer, upp binary_integer ) return number is maxrand binary_integer := ; begin return (lowfloor((upp-low) * abs(dbms_random.random/maxrand))); end my_random; / create or replace procedure fill_experimental_tables( dep_qtty number, emp_qtty number ) as seed binary_integer := ; min_budget binary_integer := 0000; max_budget binary_integer := ; min_age binary_integer := 8; max_age binary_integer := 65; min_height binary_integer := 30; max_height binary_integer := 200; min_weight binary_integer := 40; max_weight binary_integer := 50; min_studies binary_integer := ; max_studies binary_integer := 6; min_salary binary_integer := 300; max_salary binary_integer := 3000; dep_index binary_integer; emp_index binary_integer; begin DBMS_RANDOM.initialize(seed); for dep_index in..dep_qtty loop insert into departament values ( dep_index, concat('departament Number ',dep_index), my_random(min_budget,max_budget), concat('located in Address ',dep_index) ); end loop; for emp_index in..emp_qtty loop insert into

345 4.4 employee values ( emp_index, concat('person',emp_index), concat('family',emp_index), my_random(min_age,max_age), my_random(min_height,max_height), my_random(min_weight,max_weight), my_random(min_studies,max_studies), my_random(min_salary,max_salary), concat('profession ',emp_index), my_random(,dep_qtty) ); end loop; DBMS_RANDOM.terminate; end fill_experimental_tables; /

346 Anexo D. Archivo de comado para Definir la estrategia /* * File: * test_bb_ai_nps.pl * Contains: * Test for Basic Block queries with an Absolute Increasing Quantifier * evaluated by the Naive Strategy * Author: * Leonid Tineo * UNIVERSIDAD SIM N BOL VAR * Grupo de Bases de Datos * Date: * February 8, 2004 */ /* * Load the SQLf interpreter */?- consult('../sqlf/sqlf'). /* * Performs the experiment */?- sqlf_statement(set strategy naive_program).?- sqlf_statement(set output 'sqls/high/test_bb_ai_nps').?- sqlf_statement(load 'sqlfs/high/test_bb_ai').?- halt. /* End of File: test_bb_ai_nps.pl */ /* * File: * test_bb_ai_dps.pl * Contains: * Test for Basic Block queries with an Absolute Increasing Quantifier * evaluated by the Derived Program Strategy * Author: * Leonid Tineo * UNIVERSIDAD SIMN BOLVAR * Grupo de Bases de Datos * Date: * February 8, 2004 */ /* * Load the SQLf interpreter */?- consult('../sqlf/sqlf'). /* * Performs the experiment */

347 4.0?- sqlf_statement(set strategy derived_program).?- sqlf_statement(set output 'sqls/high/test_bb_ai_dps').?- sqlf_statement(load 'sqlfs/high/test_bb_ai').?- halt. /* End of File: test_bb_ai_dps.pl */ /* * File: * test_bb_ai_dqs.pl * Contains: * Test for Basic Block queries with an Absolute Increasing Quantifier * evaluated by the Derived Query Strategy * Author: * Leonid Tineo * UNIVERSIDAD SIMN BOLVAR * Grupo de Bases de Datos * Date: * February 8, 2004 */ /* * Load the SQLf interpreter */?- consult('../sqlf/sqlf'). /* * Performs the experiment */?- sqlf_statement(set strategy derived_query).?- sqlf_statement(set output 'sqls/high/test_bb_ai_dqs').?- sqlf_statement(load 'sqlfs/high/test_bb_ai').?- halt. /* End of File: test_bb_ai_dqs.pl */

348 4.5 Anexo E. Tiempos Observados en Bloque Simple Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V=Very T=Low E=Naive 2,03 2,0 2,69 V=Very T=Low E3=Derivation 2,08 2,0 2,28 V=Very T=Low E4=Query,22,24,27 V=Very T2=Middle E=Naive 2,00,94 2, V=Very T2=Middle E3=Derivation,88 2,28,93 V=Very T2=Middle E4=Query,07,0,07 V=Very T3=High E=Naive,73 2,4,73 V=Very T3=High E3=Derivation,7,73,67 V=Very T3=High E4=Query 0,89 0,90 0,90 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V2=Tiny T=Low E=Naive 2,38 3,3 2,3 V2=Tiny T=Low E3=Derivation 2,64 2,34 2,58 V2=Tiny T=Low E4=Query,28,34,30 V2=Tiny T2=Middle E=Naive 2,35 2,9 3,5 V2=Tiny T2=Middle E3=Derivation 2,3 2,4 2,6 V2=Tiny T2=Middle E4=Query,,4,6 V2=Tiny T3=High E=Naive 2,2,87,85 V2=Tiny T3=High E3=Derivation,77,7,74 V2=Tiny T3=High E4=Query 0,96 0,93 0,95 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V3=Small T=Low E=Naive 3,23 3,22 3,96 V3=Small T=Low E3=Derivation 3,24 3,28 3,29 V3=Small T=Low E4=Query,73,78,76 V3=Small T2=Middle E=Naive 3,0 2,93 2,96 V3=Small T2=Middle E3=Derivation 2,87 3,33 3,28 V3=Small T2=Middle E4=Query,58,50,56 V3=Small T3=High E=Naive 2,2 2,4 2,53 V3=Small T3=High E3=Derivation,88 2,87,79 V3=Small T3=High E4=Query,8,05 0,97

349 4.B Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V4=Medium T=Low E=Naive 4,92 5,97 5,02 V4=Medium T=Low E3=Derivation 5,00 4,95 5,40 V4=Medium T=Low E4=Query 2,66 2,69 2,73 V4=Medium T2=Middle E=Naive 4,43 4,33 4,40 V4=Medium T2=Middle E3=Derivation 4,7 4,9 5,4 V4=Medium T2=Middle E4=Query 2,32 2,25 2,33 V4=Medium T3=High E=Naive 2,85 2,96 3,05 V4=Medium T3=High E3=Derivation,95,98 2,2 V4=Medium T3=High E4=Query,7,,2 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V5=Large T=Low E=Naive 9,34 9,02 8,3 V5=Large T=Low E3=Derivation 9,60 8,35 8,46 V5=Large T=Low E4=Query 4,64 4,68 4,68 V5=Large T2=Middle E=Naive 8,0 8,29 8,87 V5=Large T2=Middle E3=Derivation 7,55 7,92 7,50 V5=Large T2=Middle E4=Query 4,54 4,53 4,82 V5=Large T3=High E=Naive 3,84 4,4 3,93 V5=Large T3=High E3=Derivation 2,94 2,47 2,67 V5=Large T3=High E4=Query,33,45,62 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V6=Extra T=Low E=Naive 6,89 4,96 4,86 V6=Extra T=Low E3=Derivation 5,4 5,20 5,28 V6=Extra T=Low E4=Query 8,43 8,76 8,42 V6=Extra T2=Middle E=Naive 2,98 2,58 2,79 V6=Extra T2=Middle E3=Derivation,90 2,09 2,92 V6=Extra T2=Middle E4=Query 6,60 6,65 6,69 V6=Extra T3=High E=Naive 5,95 6,29 6,47 V6=Extra T3=High E3=Derivation 3,6 3,9 3,39 V6=Extra T3=High E4=Query,90,93,97

350 4.A Anexo F. Tiempos Observados en Anidamiento Exists-Like Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V=Very T=Low E=Naive 0,87 0,86 0,70 V=Very T=Low E2=Sugeno 6,93 6,95 6,76 V=Very T=Low E3=Derivation 4,43 4,32 4,3 V=Very T=Low E4=Query 6,42 6,38 6,37 V=Very T2=Middle E=Naive 0,97 0,66 0,72 V=Very T2=Middle E2=Sugeno 7,72 6,50 6,39 V=Very T2=Middle E3=Derivation 3,56 4,68 3,93 V=Very T2=Middle E4=Query 4,54 4,42 4,4 V=Very T3=High E=Naive 0,75 0,74 0,94 V=Very T3=High E2=Sugeno 5,84 5,7 5,65 V=Very T3=High E3=Derivation 2,44 2,57 2,46 V=Very T3=High E4=Query 3,7 3,0 2,68 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V2=Tiny T=Low E=Naive 20,48 2,54 20,70 V2=Tiny T=Low E2=Sugeno 2,57 2,22 3,6 V2=Tiny T=Low E3=Derivation 8,23 8,52 8,26 V2=Tiny T=Low E4=Query 3,99 4,58 4,55 V2=Tiny T2=Middle E=Naive 20,43 2,09 20,97 V2=Tiny T2=Middle E2=Sugeno 2,2,86,92 V2=Tiny T2=Middle E3=Derivation 7,67 7,74 7,55 V2=Tiny T2=Middle E4=Query 4,20 2,9 4,3 V2=Tiny T3=High E=Naive 9,44 9,66 20,5 V2=Tiny T3=High E2=Sugeno 9,60 9,99 9,9 V2=Tiny T3=High E3=Derivation 2,47 2,48 2,44 V2=Tiny T3=High E4=Query 2,50 2,42 2,6 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V3=Small T=Low E=Naive 40,6 4,97 4,43 V3=Small T=Low E2=Sugeno 24,93 25,90 23,83 V3=Small T=Low E3=Derivation 5,54 5,22 5,53 V3=Small T=Low E4=Query 28,49 28,96 28,34 V3=Small T2=Middle E=Naive 40,29 39,89 40,65 V3=Small T2=Middle E2=Sugeno 23,59 22,93 23,5 V3=Small T2=Middle E3=Derivation 9,52 9,36 9,55

351 4.D V3=Small T2=Middle E4=Query 6,2 7,04 7,75 V3=Small T3=High E=Naive 39,38 40,5 39,5 V3=Small T3=High E2=Sugeno 8,25 7,99 8,77 V3=Small T3=High E3=Derivation,63,62,73 V3=Small T3=High E4=Query 0,79 0,78 0,76 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V4=Medium T=Low E=Naive 83,53 82,38 8,6 V4=Medium T=Low E2=Sugeno 49,85 48,99 49,4 V4=Medium T=Low E3=Derivation 29,4 29,2 29,55 V4=Medium T=Low E4=Query 58,06 58,23 57,76 V4=Medium T2=Middle E=Naive 82,6 80,05 82,30 V4=Medium T2=Middle E2=Sugeno 45,99 43,00 43,47 V4=Medium T2=Middle E3=Derivation 8,96 8,53 8,29 V4=Medium T2=Middle E4=Query 34,34 34,70 35,24 V4=Medium T3=High E=Naive 78,47 79,36 79,72 V4=Medium T3=High E2=Sugeno 36,58 36,0 36,6 V4=Medium T3=High E3=Derivation 2,48 2,74 2,67 V4=Medium T3=High E4=Query 2,66 2,66 2,75 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V5=Large T=Low E=Naive 62,45 66, 63,88 V5=Large T=Low E2=Sugeno 96,3 96,4 97,90 V5=Large T=Low E3=Derivation 59,56 57,70 6,29 V5=Large T=Low E4=Query 0,72 2,39,7 V5=Large T2=Middle E=Naive 62,7 63,90 6,88 V5=Large T2=Middle E2=Sugeno 87,7 86,39 87,80 V5=Large T2=Middle E3=Derivation 32,4 33,48 32,9 V5=Large T2=Middle E4=Query 6,4 6,4 59,32 V5=Large T3=High E=Naive 66,24 54,04 60,43 V5=Large T3=High E2=Sugeno 72,79 69,74 70,77 V5=Large T3=High E3=Derivation 6,5 5,23 5,33 V5=Large T3=High E4=Query 7,45 7,6 7,85 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V6=Extra T=Low E=Naive 326,29 328,50 334,92 V6=Extra T=Low E2=Sugeno 95,3 98,95 207,55 V6=Extra T=Low E3=Derivation 26,66 27,7 33,82 V6=Extra T=Low E4=Query 24,37 236, 287,57 V6=Extra T2=Middle E=Naive 328,49 334, 36,69

352 44/ V6=Extra T2=Middle E2=Sugeno 8,2 7,98 7,29 V6=Extra T2=Middle E3=Derivation 72,99 69,53 7,6 V6=Extra T2=Middle E4=Query 36,23 33,09 37,97 V6=Extra T3=High E=Naive 36,33 35,34 34,86 V6=Extra T3=High E2=Sugeno 4,50 37,77 39,49 V6=Extra T3=High E3=Derivation,86,69,68 V6=Extra T3=High E4=Query 7,60 7,49 7,89

353 44 Anexo G. Tiempos Observados en Anidamiento Any-Like Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V=Very T=Low E=Naive 0,97 0,9 0,98 V=Very T=Low E2=Sugeno 7,46 7,39 7,75 V=Very T=Low E3=Derivation 6,34 5,74 5,76 V=Very T=Low E4=Query 7,24 7,2 7,08 V=Very T2=Middle E=Naive,0 0,89,0 V=Very T2=Middle E2=Sugeno 6,84 8,07 6,95 V=Very T2=Middle E3=Derivation 4,6 4,6 4,86 V=Very T2=Middle E4=Query 6,73 5,67 5,55 V=Very T3=High E=Naive 0,7 0,82 0,9 V=Very T3=High E2=Sugeno 6,09 5,99 6,20 V=Very T3=High E3=Derivation 3,70 4,74 3,75 V=Very T3=High E4=Query 4,32 4,22 4,3 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V2=Tiny T=Low E=Naive 2, 20,26 9,84 V2=Tiny T=Low E2=Sugeno 3,5 2,8 2,69 V2=Tiny T=Low E3=Derivation 9,5 9,63 9,58 V2=Tiny T=Low E4=Query 3,60 3,45 3,62 V2=Tiny T2=Middle E=Naive 9,63 20,03 9,80 V2=Tiny T2=Middle E2=Sugeno,69,95,97 V2=Tiny T2=Middle E3=Derivation 7,72 7,6 7,7 V2=Tiny T2=Middle E4=Query,25 0,5 0,23 V2=Tiny T3=High E=Naive 2,47 20,46 20,66 V2=Tiny T3=High E2=Sugeno 0,7 0,7 0,39 V2=Tiny T3=High E3=Derivation 6,0 5,94 6,32 V2=Tiny T3=High E4=Query 7,86 8,20 7,85 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V3=Small T=Low E=Naive 4,96 40,07 4,23 V3=Small T=Low E2=Sugeno 26,57 26,66 26,9 V3=Small T=Low E3=Derivation 9,6 9,00 8,56 V3=Small T=Low E4=Query 27,26 27,33 27,33 V3=Small T2=Middle E=Naive 40,42 42,6 40,73 V3=Small T2=Middle E2=Sugeno 24,57 22,92 23,2

354 44. V3=Small T2=Middle E3=Derivation 5,29 5,76 5,6 V3=Small T2=Middle E4=Query 22,08 22,09 22,4 V3=Small T3=High E=Naive 4,49 39,74 4,78 V3=Small T3=High E2=Sugeno 20,08 2,5 20,90 V3=Small T3=High E3=Derivation,05 2,32,00 V3=Small T3=High E4=Query 5,72 5,52 5,56 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V4=Medium T=Low E=Naive 82,72 88,27 84,7 V4=Medium T=Low E2=Sugeno 53,80 53,97 52,6 V4=Medium T=Low E3=Derivation 40,0 39,88 39,89 V4=Medium T=Low E4=Query 60,62 59,39 56,55 V4=Medium T2=Middle E=Naive 88, 83,8 86,96 V4=Medium T2=Middle E2=Sugeno 46,94 47,36 47,68 V4=Medium T2=Middle E3=Derivation 30,29 32,76 3,09 V4=Medium T2=Middle E4=Query 45,75 44,44 44,27 V4=Medium T3=High E=Naive 85,22 83,02 84,52 V4=Medium T3=High E2=Sugeno 42,77 42,28 40,08 V4=Medium T3=High E3=Derivation 23,47 22,87 23,56 V4=Medium T3=High E4=Query 32,50 32,65 32,8 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V5=Large T=Low E=Naive 66,84 68, 75,3 V5=Large T=Low E2=Sugeno 2,34 3,96 08,80 V5=Large T=Low E3=Derivation 80,96 83,6 83,63 V5=Large T=Low E4=Query 8,3 8,56 22,04 V5=Large T2=Middle E=Naive 68,40 70,94 68,98 V5=Large T2=Middle E2=Sugeno 94,9 02,36 97,90 V5=Large T2=Middle E3=Derivation 66,4 64,25 65,47 V5=Large T2=Middle E4=Query 93,94 94,05 94,46 V5=Large T3=High E=Naive 63,33 68,7 60,99 V5=Large T3=High E2=Sugeno 83,28 85,60 85,3 V5=Large T3=High E3=Derivation 45,95 46,97 47,28 V5=Large T3=High E4=Query 69,85 70,99 68,89 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V6=Extra T=Low E=Naive 339,90 353,09 338,7 V6=Extra T=Low E2=Sugeno 25,53 28,92 226,3 V6=Extra T=Low E3=Derivation 69,63 68,3 69,6

355 444 V6=Extra T=Low E4=Query 249, 247,22 246,92 V6=Extra T2=Middle E=Naive 332,8 326,60 326,3 V6=Extra T2=Middle E2=Sugeno 86,62 94,9 92,59 V6=Extra T2=Middle E3=Derivation 33,62 34,7 3,39 V6=Extra T2=Middle E4=Query 88,98 96,06 93,95 V6=Extra T3=High E=Naive 327,49 332,2 322,2 V6=Extra T3=High E2=Sugeno 75,06 66,93 70,57 V6=Extra T3=High E3=Derivation 97,39 98,22 97,62 V6=Extra T3=High E4=Query 39,92 39,48 36,40

356 Anexo H. Tiempos Observados en Particionamiento con Cuantificador Absoluto Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V=Very T=Low E=Naive,63,66,76 V=Very T=Low E2=Sugeno,6 2,62,64 V=Very T=Low E3=Derivation,67,70,64 V=Very T=Low E4=Query 0,9,93 0,9 V=Very T2=Middle E=Naive,76,66,69 V=Very T2=Middle E2=Sugeno,70,64,63 V=Very T2=Middle E3=Derivation,7,59,62 V=Very T2=Middle E4=Query 0,96 0,89 0,86 V=Very T3=High E=Naive,63,75,85 V=Very T3=High E2=Sugeno,60,59,65 V=Very T3=High E3=Derivation,78,56,6 V=Very T3=High E4=Query 0,85 0,7 0,79 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V2=Tiny T=Low E=Naive,87,7,78 V2=Tiny T=Low E2=Sugeno,69,75,77 V2=Tiny T=Low E3=Derivation,83,60,68 V2=Tiny T=Low E4=Query,02 0,99,2 V2=Tiny T2=Middle E=Naive,82,77,84 V2=Tiny T2=Middle E2=Sugeno,70,84,68 V2=Tiny T2=Middle E3=Derivation,75 2,89,63 V2=Tiny T2=Middle E4=Query 0,99 2,04 0,98 V2=Tiny T3=High E=Naive,78,76,74 V2=Tiny T3=High E2=Sugeno,79,64,65 V2=Tiny T3=High E3=Derivation,57,54,52 V2=Tiny T3=High E4=Query 0,74 0,7 0,98 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V3=Small T=Low E=Naive,89,93,9 V3=Small T=Low E2=Sugeno,87 2,95 2,4 V3=Small T=Low E3=Derivation,8 2,38,78 V3=Small T=Low E4=Query 2,8,8,6 V3=Small T2=Middle E=Naive,94 2,04,90

357 440 V3=Small T2=Middle E2=Sugeno,82,93,87 V3=Small T2=Middle E3=Derivation,72,68 2,73 V3=Small T2=Middle E4=Query,0 2,5,06 V3=Small T3=High E=Naive,99 2,00,93 V3=Small T3=High E2=Sugeno,70,76,75 V3=Small T3=High E3=Derivation,79,69,59 V3=Small T3=High E4=Query 0,84 0,73 0,93 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V4=Medium T=Low E=Naive 2,27 2,24 2,26 V4=Medium T=Low E2=Sugeno 2, 2,4 2,0 V4=Medium T=Low E3=Derivation,89,86,87 V4=Medium T=Low E4=Query,42,45,40 V4=Medium T2=Middle E=Naive 2,35 2,25 2,23 V4=Medium T2=Middle E2=Sugeno 3,0 2,02 2,00 V4=Medium T2=Middle E3=Derivation,72,72,7 V4=Medium T2=Middle E4=Query,08,08,08 V4=Medium T3=High E=Naive 2,33 2,33 2,30 V4=Medium T3=High E2=Sugeno,89 2,07,9 V4=Medium T3=High E3=Derivation,83,55,57 V4=Medium T3=High E4=Query 0,74 0,95 0,78 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V5=Large T=Low E=Naive 3,30 3,03 3,06 V5=Large T=Low E2=Sugeno 2,53 2,54 2,8 V5=Large T=Low E3=Derivation 2,27 2,22 2,37 V5=Large T=Low E4=Query 2,6,97,99 V5=Large T2=Middle E=Naive 3,35 3,54 3,3 V5=Large T2=Middle E2=Sugeno 2,48 2,39 2,72 V5=Large T2=Middle E3=Derivation,98,96 2,2 V5=Large T2=Middle E4=Query,60,4,53 V5=Large T3=High E=Naive 3,0 3,08 2,99 V5=Large T3=High E2=Sugeno 2,33 2,29 2,30 V5=Large T3=High E3=Derivation,80,72 2,05 V5=Large T3=High E4=Query,04 0,94 0,99 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V6=Extra T=Low E=Naive 5,67 4,69 4,92

358 445 V6=Extra T=Low E2=Sugeno 4,8 3,74 3,6 V6=Extra T=Low E3=Derivation 4,26 2,95 2,9 V6=Extra T=Low E4=Query 3,25 3,4 3,35 V6=Extra T2=Middle E=Naive 4,96 4,74 4,83 V6=Extra T2=Middle E2=Sugeno 3,4 3,34 3,23 V6=Extra T2=Middle E3=Derivation 2,24 2,28 2,32 V6=Extra T2=Middle E4=Query,97 2,0 2,0 V6=Extra T3=High E=Naive 4,62 4,49 5,42 V6=Extra T3=High E2=Sugeno 3,00 3,35 2,95 V6=Extra T3=High E3=Derivation,72,80,78 V6=Extra T3=High E4=Query,29,02,39

359 44B Anexo I. Tiempos Observados en Particionamiento con Cuantificador Propocional Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V=Very T=Low E=Naive,66,67,67 V=Very T=Low E2=Sugeno,7 2,20,67 V=Very T=Low E3=Derivation,70,82,74 V=Very T=Low E4=Query,02,2,04 V=Very T2=Middle E=Naive 2,67,66,75 V=Very T2=Middle E2=Sugeno,66,63 2,69 V=Very T2=Middle E3=Derivation,90,76,88 V=Very T2=Middle E4=Query 0,93 0,94,05 V=Very T3=High E=Naive,77,79,75 V=Very T3=High E2=Sugeno,65,64,63 V=Very T3=High E3=Derivation,72,73,76 V=Very T3=High E4=Query 0,82 0,84 0,83 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V2=Tiny T=Low E=Naive,73,68,7 V2=Tiny T=Low E2=Sugeno,7,73,7 V2=Tiny T=Low E3=Derivation,78,9,89 V2=Tiny T=Low E4=Query,04,05,0 V2=Tiny T2=Middle E=Naive,72,90,9 V2=Tiny T2=Middle E2=Sugeno,73,80 2,3 V2=Tiny T2=Middle E3=Derivation,74,77,73 V2=Tiny T2=Middle E4=Query 0,98,4,4 V2=Tiny T3=High E=Naive,94,79,69 V2=Tiny T3=High E2=Sugeno,64,69,73 V2=Tiny T3=High E3=Derivation,74,69 2,0 V2=Tiny T3=High E4=Query 0,86,87,00 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V3=Small T=Low E=Naive 2,02 2,0,98 V3=Small T=Low E2=Sugeno,87,87,9 V3=Small T=Low E3=Derivation 2,96 2,0 3,00 V3=Small T=Low E4=Query,65 2,27,27 V3=Small T2=Middle E=Naive,9,89 3,25

360 44A V3=Small T2=Middle E2=Sugeno,79,76,78 V3=Small T2=Middle E3=Derivation 2,94 2,87,87 V3=Small T2=Middle E4=Query,37,4,7 V3=Small T3=High E=Naive,86,85,94 V3=Small T3=High E2=Sugeno,69,84,73 V3=Small T3=High E3=Derivation,76,79,88 V3=Small T3=High E4=Query 0,92 0,90 0,96 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V4=Medium T=Low E=Naive 2,26 2,29 2,29 V4=Medium T=Low E2=Sugeno 2,07 2,07 2,6 V4=Medium T=Low E3=Derivation 2,8 2,20 2,25 V4=Medium T=Low E4=Query,84,62,66 V4=Medium T2=Middle E=Naive 2,53 2,24 2,74 V4=Medium T2=Middle E2=Sugeno 2,0 2,05 2,06 V4=Medium T2=Middle E3=Derivation 2,03 2,00,99 V4=Medium T2=Middle E4=Query,54,35,33 V4=Medium T3=High E=Naive 2,23 2,20 3,49 V4=Medium T3=High E2=Sugeno,96,99 2,04 V4=Medium T3=High E3=Derivation,93,8 2,94 V4=Medium T3=High E4=Query,0 2,05,07 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V5=Large T=Low E=Naive 3,00 3,98 3,29 V5=Large T=Low E2=Sugeno 2,62 2,60 2,55 V5=Large T=Low E3=Derivation 3,72 2,82 3,77 V5=Large T=Low E4=Query 2,42 2,60 2,40 V5=Large T2=Middle E=Naive 3,03 4,30 3,0 V5=Large T2=Middle E2=Sugeno 2,74 3,93 2,54 V5=Large T2=Middle E3=Derivation 2,38 2,35 2,72 V5=Large T2=Middle E4=Query,86,82,84 V5=Large T3=High E=Naive 3,22 3,04 3,7 V5=Large T3=High E2=Sugeno 3,29 2,67 3,32 V5=Large T3=High E3=Derivation,94,99,96 V5=Large T3=High E4=Query,57,3,38 Volume Selectivity Strategy Time(R) Time(R2) Time(R3) V6=Extra T=Low E=Naive 5,02 4,5 4,85

361 44D V6=Extra T=Low E2=Sugeno 3,69 3,60 3,65 V6=Extra T=Low E3=Derivation 3,73 3,86 3,79 V6=Extra T=Low E4=Query 4,07 4, 4,27 V6=Extra T2=Middle E=Naive 5,58 4,67 4,57 V6=Extra T2=Middle E2=Sugeno 3,7 3,47 3,46 V6=Extra T2=Middle E3=Derivation 3,07 3,24 3,6 V6=Extra T2=Middle E4=Query 2,96 2,90 2,94 V6=Extra T3=High E=Naive 4,96 4,57 4,48 V6=Extra T3=High E2=Sugeno 3,04 2,99 4,06 V6=Extra T3=High E3=Derivation 2,63 2,28 2,47 V6=Extra T3=High E4=Query,68,54,5