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E G IC COBI, .
M M
D D. C O
Pc a Ma Maca Cac , caa Ma Da SaI, a Faca cca a Ua Caaba
(20112013)
O 2013
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Aac
Eca aac, a aa cba, Daa Tca a Iac(ATI) a Ua Va R D S (U) Ba a Rc Rca aUa Caaba.
A a a acca .
A Ma a aa a a Ma.A a aa ba a .
N , , .
M P
E , .E H
" ."
I N
E ."
A E
:
E aba Ma Maca Cac caa Ma a Sa a Ua Caaba aca cc a a a aa aa aa a Gbaa a Tca a Iac a Ccac (TIC); cca a c aac c (FAHP. F, Aaca HacPc). Ica a cc a c, a a aGbaa TIC c c aac c (AHP, Aaca Hac Pc), a (Saa 1980) a a a DY Ca,(1992) .
S a a a a ac ca ac aba COBIT 4.1, ca a c a a a COBIT.
La a a aca a a c a b a ca a
ab TIC 77 a Ea R Ga S Ba.P , a a cca a a b a a ca aa aa caaa c a b . S bca ca ca ca ac c COBIT, aa a cca cc ab, c acac.
P :
Pc Aac Jc, , cca ba a a, Sccc Ab, C, Acac, Gbaa TIC , COBIT,
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0 Introduccin.................................................................................................................................................... 11 . ................................................................................................................................................... 2
1.1 ...................................................................................................................................... 21.2 ...................................................................................................................................................... 3
1.2.1 .......................................................................................................................................... 41.2.2. ......................................................................................................................... 51.2.3 .......................................................................................... 7
1.3 . ................................................................................................ 81.3.1 ............................................................................................................................. 8
1.4. ................................................................................................................. 101.4.1 ............................................................................................................................................. 101.4.2 ................................................................................................................................. 121.4.3. :........................................................................................................................ 12
1.5 ...................................................................................................................................................... 121.5.1 ........................................................................................................................ 13
1.6 ........................................................................................................................... 151.6.1 ............................................................................................................. 151.6.2 ......................................................................................................... 151.6.3 . .................................................................................... 151.6.4 ................................................................................................................ 281.6.5 .......................................................................... 29
2. . .......................................................................................................................................... 312.1 .......................................................................................................................................... 312.2 ............................................................................................................................... 31
3. ......................................................................... 383.1 . ...................................................... 38
.............................................................................................. 393.2 ........................................................................................................................... 403.3 ............................................... 41
3.4 ................................................................................ 46Conclusiones.................................................................................................................................................... 48Trabajos futuros............................................................................................................................................... 48
Bibliografa...................................................................................................................................................... 49
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1
0 Introduccin
La Gbaa Gb a ca a ac a ccac, TIC, ac , a c ba a aac. S bac c b a aac acca c c aac. S b aa c a a,ac aba aa c c a aac aca, a acc acaa b a aa ca, aa c.
U ca a a a caa c cac aa aa c a a cab, a aac, a a Gbaa TIC.A a ca a ca a a a aa cca a aa aa c a cca aac, a cca c c.
P a ca a aa aa caac b aac a a acaa ba a c, aca aa c a Gbaa TIC aaa a aac.
A b cca c, aac a, aacb, ca b ca a aa
a ac a caa a caaa. Paa ca Pc Aac Jc (AHP Aaca Hac Pc) a cca baa c c aba a a c ca c b ca c c caa caa, a caacca ac a cca aac c a ca a b.
E aba aca ac aba COBIT 4.1 aa a aa aac a Gbaa TIC a cca c c a ba. E a ac cca AHP cca c ca aaa a c caa c.
A a b, aa c COBIT 77 a a Ga R S Ba aca COBIT. L a a aac b a caaa . A a aca a, a c c a ca,a a a a aca c a a aa b ba a a, a aca a COBIT c a Gbaa TIC. E a a aa acaa a caa, a a b c aca COBIT c a a b c aca.
La a a aba aaa c c COBIT aca cca ba a a, cca a cca c aa a aac a a a COBIT.
A a a b aca a cc ab aa c ca ca c ba. A a cb a a c aa a c ab cca c a b a a a b.
P aca a c a acac a ca a cc ab a bca a ca aa a aa a aa a a.
E aba a a aaa a a caa aaa c a ca aa a aac .
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2
1 M.
1.1 .
E cca a Ra Acaa Eaa (RAE) c:
A aa ba c b acc, ca ca a, a b Ea, a ca c ca a ca.
L b a Gbaa TIC, aca:
E a c a aca aca a TIC; a aacaa ac a aa caa aa c aca a.
P a ca c TIC, c TIC a ac c aaa b a a.
Ia caa ba ( ) cca acac aac,ac ac, a c , a TI aa aa a ac a a a ca acaa a
b c. Cc a a a a a a aa ac a c aa
bc, caaa a b aa ca.
E a ca a a acaa c a Gbaa TICacaa a c ca:
I 1: M IC.
C aca, ca a a a aac a Gbaa TIC. E c aca a aa a a c cc ca ac TIC, cca aba a Gbaa TIC ca a aa aa a b a a ca aa a Gbaa, a ISO/IEC 38500 COBIT a ca a caa a Gbaa TIC. N
a ca COBIT a a a a c I 3 ISO 27001 .
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3
1.2
()E aa Gb a TI aa a Ia S A a CAca (ISACA) IT Gac I (ITGI). E a a cca a a a ca a ac a ccac (TIC) c a bca a Gbaa c b a a. COBIT, a c ca aa a TIC, c c, a, b c, aa aa, aa aa
ac ca, a a cca .
Bca COBIT 4.1 c 4 , c 34 c cb215 b c a 1547 cca c.
COBIT aa c a, aa a a aac a ca a TIC,aa aa c c ca a aac a baa TIC. E ac bac TIC a aca c ca c, accc c. COBIT a ca ca ba cca aa c TIC b a aac.
L bc c :
Ob ac aa caa aa aa a c c. La b ac a ca bc c a a
c a a TIC.
La cca aa a a a acac ab c a ca.
Ma acab aca c a TIC.
Oa c c TI ca.
Aa c a , a, ac caca a ca.
La a b TIC cb c a cc ca
ac aa ba a TIC a. La cc aca a caa aa aa a aca caa TIC. COBIT ba cc a c a ca a c TI,c ca c b aa a TI c. S abc aca c COBIT a a b TIC, b a aa aba, b c a aca c TIC c COSO, c TIC COBIT c ac COBIT), c a a b aa c a ba.
La a COBIT :
A , ca aaa a aac a c
TIC; , a aa a a a TI; aa a ac TICc a ac a a.
E , a ca a a a a a cc a,aa TIC bc a aa, cc a c ba a c TIC.
A , aa a a, a c a aacacaa c cc TIC; acac, ac, aca a.L a ca a a ac cc aca.
A , ccca a ac a a, ca a a a,
c c, aaca , caaa a a, a c a aba a aac .
M , aa a a aa a ac, aac c, c a a c, c ,
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, "baac cca" ac a aa acc aa a a ab a cca.
I 2: M COBI
1.2.1
COBIT a aca TI c c aa ca .E Paa Oaa, A Ia, Ea Da S Ma Eaa. L aa a a a aca TI aa, c, ca a, cc DEMING.
P O (PO)
E cb a aa a cca, c ca a aa aTIC cb a aa a b c. A, a aac a aca aaa, ccaa aaa ca. Fa, b a a ca aaca a ca
cca aaaPO1 D Pa Eac TIC.
PO2 D a Aca a Iac.
PO3 Da a Dcc Tcca .
PO4 D Pc, Oaac Rac TIC.
PO5 Aa a I TIC.
PO6 Cca a Aac a Dcc a Gca
PO7 Aa Rc Ha TIC.
PO8 Aa a Caa.
PO9 Eaa Aa R TIC.
PO10 Aa Pc.
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5
A (AI)
Paa a a cab a aa TIC, a c TIC ca caa, aaa aa a c aa aa c c. A, cab a a cb aa aaa ac a aac b c
AI1 Ica c aaaa.
AI2 A a a aca.
AI3 A a a aca cca
AI4 Faca a ac .
AI5 A c TIC.
AI6 Aa cab.
AI7 Iaa aca c cab.
E (D)
E cb a a c , c a ac c, a aac a a a ca, c a a, a
aac a a aac a.DS1 D aa c.
DS2 Aa c c.
DS3 Aa a caaca.
DS4Gaaa a ca c.
DS5Gaaa a a a.
DS6 Ica aa c.
DS7 Eca a a a.
DS8 Aa a a c c.
DS9 Aa a cac.
DS10 Aa ba.
DS11 Aa a.
DS12 Aa ab c .
DS13 Aa a ac .
M (ME)
T c TIC b aa a a ca a caa c c. Abaca a aac , c , c a a acac b.
ME1 Ca Eaa D TIC.
ME2 Ca Eaa C I .
ME3 Gaaa C Ra .
ME4 Pca Gb TIC.
1.2.2.
E a aa a aac c c TIC baa aac a aac, a a a aa a a (0) aa a(5). E a a Sa E I aa a a a caaca a a.
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6
Caa a , a caa b aa aa, a aa a a c a a a c cab b a a, ca ca ba c a a aa a a.
L a a c c TIC a a ccac cc a b aca . N a aa a c a, aa a ab c a acc . C a COBIT, a ca a aac CMM a SEI, a c a ca ba a cca
a c c ac. Ua aac a a COBIT a a cc a a a a c.
A , a aaac a aac a a a,ac aba ba cca aca. A a aacca a a a. La aac a ab a a ca a aac.
0 N E:Caca ca ca c ccb. La a acc a ba a .
1 I: E ca a a a cc ba . S ba; c a a
a aca a a ca ca. E a aca a aac aa.
2 :S a aa c aa ca a aa a a aa. N a a ccac a c a, a a aba a .E a a caa cc , a, bab.
3 D:L c a aaa ca, a aa a. S ba, a ca a c, c bab c ac. L c ca
aa a cca .4 A: E b a c c a a ca c abaa a ca. L c ba ca a ca ba cca. S a a aaac aa a aa aa aaa.
5 O: L c a a aa cca, baa a a ca a c a a. TIC a a aa aa aaa aba, ba aa aa a acaa a ca, ac a a aa aa a.
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1.2.3
La aba a c a caa a caca aa bca a a c a a a c c a a ca b TIC. La abaa a aca caa c a c aca a caa c aa caa a ca (AF), a a a (P), ca (S) acab ( ); a a acac c a ca a ca ca, a ca ac
a ca c a.Pc
N Iaca
AF1 AF2 AF3 A4 AF5
PO1 D Pa Eac TI Aa P S S
PO2 D a Aca a Iac Baa P S P S
PO3 Da a Dcc Tcca Ma S S P S
PO4 D Pc, Oaac Rac TI Baa S P P
PO5 Aa a I TI Ma S P S SPO6 Cca a Aac a Dcc a Gca Ma P P
PO7 Aa Rc Ha TI Baa P P S SPO8 Aa a Caa Ma P S S
PO9 Eaa Aa R TI Aa P P
PO10 Aa Pc Aa P S S S SAI1 Ica c aaaa. Ma P P S S
AI2 A a a aca. Ma P P S
AI3 A a a aca cca Baa P
AI4 Faca a ac . Baa S P S S
AI5 A c TI. Ma S P
AI6 Aa cab. Aa P S
AI7 Iaa aca c cab. Ma S P S S SDS1 D aa c Ma P P P P
DS2 Aa c c Baa P S P SDS3 Aa a caaca Baa S S P S SDS4Gaaa a ca c Ma S P S P SDS5Gaaa a a a Aa P
DS6 Ica aa c Baa S P SDS7 Eca a a a Baa S P S S
DS8 Aa a a c c Baa P SDS9 Aa a cac Ma P P S
DS10 Aa ba Ma P S SDS11 Aa a Aa P P P
DS12 Aa ab c Baa S P
DS13 Aa a ac Baa P
ME1 Ca Eaa D TI Aa S S S S PME2 Ca Eaa C I Ma P P
ME3 Gaaa C Ra Aa P P
ME4 Pca Gb TI Aa P P P P P 1: M COBI G IC
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8
1.3 .
La a a aba c b b c COBIT. Paa a c aac c (FAHP) c aa . D a ca b, c bc a a a a COBIT c a a a a Gbaa TIC, aacaca, a a, aac c, aac c a aac aa aca caa c.
E a a a ba , a a aac aaa caa TIC a c bca a R Ga S Ba, baaa a aba a aac aa caa c COBIT.
1.3.1 .
E 1965 Za a a B, a a c a a c caba:
"C a ca a aa, a caaca aa c c cc b ca aa ba a ca,a c ca caacca c."(Za,1965)
La ca a a cc c, aaa c caa caa caa, a ac a a aa c c caacca acaa a a. P, a, abaaa a c a c c.
Ha aca c c ac ca ca aa a ac aa aaa. A c c aa aa aca cca, a c a aac a ca, a a a a aba ca a aba aa.
L c a a c a ca a aca a c a. L c a ac c acac a ac ca a aba cbcaa a c ab. E , c a ca caac a, c a 3 cca a 5 . E aaaba, a ca aa,ca ca.
L a, aa, aa, aaa, caaaaaa: a cac, ac (c) a c a a, aa c:
I 3: N I 4: E,
I 5: I C () I 6: E
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9
Tab a , a a .
I 7: N
A a a aa aa a c ca aa aac 4 6 aa aa a , a a b aa acac. M a, a c ca caa ca c a aa. Baa ca a aaa "a caaa" a c ca, a a a ca aca
1.3.2 .
U aa ca a,a c (, , ), , ca acaa a . La c a a a M(,,)
(x )={0 para x
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10
Sa A=(a1,a2,a3) B=(b1,b2,b3) aa, a ac acabca :
A+B=(a1+b1,a2+b2+a3+b3)
AB=a1b3,a2b2,a3b1)
A*B=(a1 b1,a2b2,a3b3)
A=(a1 ,a2,a3)
A=(a3,a2,a1)
1/A=(1/a3,1/a2,1/a1)
2: O .
Paa aa, c A=(a1,a2,a3,,a4) B=(b1,b2,b3,b4):
A+B=(a1+b1,a2+b2+a3+b3,a4+b4)
AB=a1b4,a2b3,a3b2,a4b1)
A*B=(a1 b1,a2b2,a3b3,a4b4)
A=(a1 ,a2,a3,a4)
A=(a4,a3,a2,a1)
1/A=(1/a4,1/a3,1/a2,1/a1)
3: O .
1.4. .
1.4.1 .E c aac c c aa Ta Saa a Ua Pb a caa 80 aa, (Saa 1980) . E a aa a ba c ca b ca c c caa caa.
C caacca b c b acc ab b, a ca a a a
a c. P a a aca aa c b b caa b abc ca aa caa a a aaa ba. E a acacac c a, ca a ca a aa caa a a aaa c. E a a ba aa c .
La aa ca a c a cca a caaca abaa c c ca caa caa.
La aa a a cca AHP :
1. D ba abc caa b a aaa a
ba.2. "Dc" ba a ca ca c c. E a ca b a, a a ca c b bb aa acaa a aaa c
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3. Raa a caac aaa c, ca ac caac c a aca aa a a caa ac c.
4. Cba a cca a ac aa aaa c aa caa c.
5. A a a ac ba a a caa c ac c b a
6. Eaa a aaa ba a c b .La aa AHP 3 (c aaa, c ab b). Ha aca caa ca b .
A a a caa ca 9 aa abc a a a caa a c cc c caa Saa:
I D E
1 D a aca La 2 aca cb a a a b
3 Maa Iaca La ca c ac aaca b a a.
5 Iaca FLa ca c ac aaca b a a.
7 M aaUa aca c aca a a: aca a cca.
9 EaLa ca ac a aca b a a, aba a caa.
2,4,6,8 Va Ca ca c a a
a aac.Rcc a=1/a
H .
4: E AHP. , (1980)
Paa caa a aa c b abc a a a caac a , a, a a c. L a caa a ac a ca a caac aaa a a c a a a c c.
P c caac cca a cc c a a, c, c a a , c
1 c a , a 1 = ^1 = 1. C a acb a a caa a aa. E aa caca caa c aa a ac a.
U c, caca cca cc ac(c) aca a aa (a a) a a caacaaa. E a aa a a a a a ab aa caca c cca (CI) a cca (CR), ca a cca cca c aa a:
Aleatoriondice
iaConsistencdendiceiaConsistencdeRatio
= (1)
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12
S ca a acab ca a cca 0,1 c cca a cca a a caac aaa.
1
max
=
n
nCI
E c aa a cca a a aaa. E c aa Saa, ca a aa ca aba a c, c c a a ac a aaa caca c cca.
Grado 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Indice aleatorio 0 0,58 0,90 1,12 1,24 1,32 1,41 1,45 1,49 1,51 1,48, 1,56 ,157 1,58
5 : , (, 1980)
P a aa Aa AHP
Aa 1: Jc cc. S A a a caac aaa c
a=1/a
Aa 2. Ha . L caa a aa.
Aa 3: Eca ca. E ca ca cc.
Aa 4. O a: La caa b a aa a ca c aaa.
C a a a a a aa caac a:
A=[1 a12 a1na21 1 a2n
an1 an2 1]=[
1 a12 a1n1 /a12 1 a2n
1/a1n 1/a2n 1
]
1.4.2 AHP
La aa c AHP aca a c, a ba aaab ca, a cc acaa ba a ac a caac. C caaa aa a c caca.
AHP a aa a c, aca c a TIC caaba a a a c (ASb AHab,1999), Eaac c TIC(Wa, 2011), cc aa cc (Ga Ra, 2011), c a a a (R, 2009) a c aac c TIC b a (Ha, 2011).
1.4.3. :
A a aa AHP a cca ca caaca aa aa cb c acaa a c aa c c aacca. E a c a , c Pc aac ANP, AacN Pc), a ac c FAHP a c a ac 5 a a c Ia aaca acc, (Xa, 2012).
1.5
E ca a aaa, , a a a a c aacaba a aac ca c ac, c b, , ca a aa a a, a aab ca. A aa aaca a c, AHP.
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13
Ua aNa, a a a ba a c aa aa. E a ca a a a caa , a aca b a c a aac a a ,a aa. P a ccc cFAHP aca a a a AHP. L aa a a a c a ca ac c c a a caaba a. A a aba 5 aa c a aba. C ca a A caa (1)/2 caac .
La a caac a ca:
A=[ aij]=[1 a12 a1n
a21 1 a2n
an1 an2 1]
)2,1,1(1~
);,,(~ == ijijijij umla aa cc]~[
1~
ijji a
a =
La c AHP a
c a aba :Ia AHP FAHP
D a aca 1 (1,1,2)
Maa Iaca 3 (2,3,4)
Iaca F 5 (4,5;6)
M aa 7 (6,7,8)
Ea 9 (8,9,9)
Va 2,4,6,8 (1,2,3,)(3,4,5) (5,6,7)(7,8,9)
6: E FAHP AHP
0 1 2 3 4 5 6 7 8 9
1
I 9: N
1.5.1
S ca a aa aa caca c, a ca F E Aa Da Ca aUa B 1992. B aa c:
1. Caca a aa a a a a ac aca a
S==1
n
a ij(k=1
n
j=1
n
akj)1
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2. Caca a ba ji SS~~
>= , c
V(SiSj)=superior x [min (Sj(x ), Si(y ))] a c ca caa c. Ea a a:
V(
Si
Sj)=
{1 si mi m j
ui
lj
(uimi )+( mj lj ) si lj u i
0 otrocaso
),,(~
...)...,,(~
, jjjjiili umlSyumlS i ==
Ua a a ba S~
a
c jS~
, ca :
V( Si S1, S2, ..., Sn )=mink
V(S Sk)
3 Ob c a aaa a a a caac, c:
w i= V(Si S1, S2, ..., Sn)
k=1
n
V(SkS1, S2,..., Sn)
; i=1,2, ...n
E c a W, c a aaaa a aaa baa c caa c. Laa ca a a c c c a a a aa. P a a a ba b ca a aca a ba a.
E Ca (1992) c , a a aac a c B Ga, & La, (1989), baa a cac a caa ac, C, (1996),Va aa & Pc, M caa X, (2000). M baa a cac a cac ac B, (1989), ccac ca ac a Ca Bc, (2001), a c ac c ac c Ca, a aac a Ma, 2003, (GF Pc Pa, GFPP) a aac aca 2 aa Wa a.(2005).
La acac FAHP a c TIC a a a c cba
a R (2012) aa a a a, aac caa bcaa a b cc, Maa a., (2010) b caa a cc cc L a. (2010)
A ca c aaa a a, a a ac aac c a (IAHP) c c a caaa bac Taa, (2009), a caca acca ba Xa a. (2012)
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1.6
E aaa a a ba ca aa aa aa b aac a Gbaa TIC, aaa a ca b 34 c a COBIT, c a ca, aa c aac c a aa aa a ac caaa caaa.
E c a a a a cab a aa :
1 Dc b.2. C a ca ca cac c.
3. Raa a caac aaa c bc
4. Cba a cca a caac.
5 Caca .
1.6.1
E aa bca b , P a, aa ac aGbaa TIC a a COBIT aa a
a aa aa ca ac cc Gbaa a aaa a a baa TIC caa a a 5 a ca.
1.6.2 C .
Paa acaa b , cca 34 c COBIT aca a caa a , aa a aa c ca ca D(=1,2,3,4) COBIT a aa.
D1: Paca Oaa.
D2: A a
D3: Ea a .D4: Ma aa.
L c a aa c a ac aa 1.2.1.
1.6.3 .
E a ac COBIT ca a c cac aa caa c,a c a aca a caa c a . C a ac,c a ac caac aaa a c aca c . A c cb:
Ua cac COBIT aa caa c aa a c
I(P1(i , j ))={
1 si la importancia para COBIT es BAJA
2 si laimportancia para COBIT es MEDIA3 si la importancia para COBIT es ALTA
A c aca a aba 1 COBIT aca a caa c a a a aa caa. S a aba :
Pri , j ,k={1 si proceso Pi , j es primario en el rea k
0,5 si proceso Pi , j es secundarioen el rea k
0 con cualquier otro caso
E a a caac aaa c c a caa aaca. La ac a caac Da Db a a caa caac a a aba 6 , aa aa a ca c c a a ca cca.
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E cc aca aa a a ac:
ratio (Da, Db)=j=1
na
I(Pa , j)PRa , j , p
j=1
nb
I(Pb , j)PRb, j , p
E a caac D a c D b aa cc a a c cac (I) caa c a a(PR).
PreDomains(Da, Db )={ceil(ratio(Da, Db )) si ratio(D a, D b)1
1
ceil( 1
ratio (Da, Db))
si ratio(Da, Db)(I(Pa , j)PRa , j , p)1 /ceil((I(Pa , j)PRa , j , p)(I(Pa ,i )PRa ,i , p)) si (I(Pa , i)PRa ,i , p)
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DS {2,3,4} {1,2,3} {1,1,2} {2,3,4}
ME {1,2,3} {1/3,1/2,1} {1/4,1/3,1/2} {1,1,2}
Aac c
PO AI DS ME
PO {1,1,2} {1,2,3} {1/3,1/2,1} {1,2,3}
AI {1/3,1/2,1} {1,1,2} {1/3,1/2,1} {1,2,3}
DS {1,2,3} {1,2,3} {1,1,2} {2,3,4}ME {1/3,1/2,1} {1/3,1/2,1} {1/4,1/3,1/2} {1,1,2}
Aac
PO AI DS ME
PO {1,1,2} {3,4,5} {1/3,1/2,1} {1,2,3}
AI {1/5,1/4,1/3} {1,1,2} {1/5,1/4,1/3} {1/4,1/3,1/2}
DS {1,2,3} {3,4,5} {1,1,2} {1,2,3}
ME {1/3,1/2,1} {2,3,4} {1/3,1/2,1} {1,1,2}
Mc PO AI DS ME
PO {1,1,2} {2,3,4} {1/3,1/2,1} {1/3,1/2,1}
AI {1/4,1/3,1/2} {1,1,2} {1/7,1/6,1/5} {1/7,1/6,1/5}
DS {1,2,3} {5,6,7} {1,1,2} {1,1,2}
ME {1,2,3} {5,6,7} {1,1,2} {1,1,2}
Ua a caac a aa aa, c c bc, c c c aca a caa a ca.D ac a a aba a c. P a aa a
b a ac caac a a aa caa cc.
7/26/2019 Oscar Martin Medrano
21/52
18
A aa a Aa Eac (AE), c aca c c c b a ac TI a c TI,caacca a caaca a ca, :
PO1 PO21 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10
PO1 {1,1,2} {2,3,4} {2,3,4} {5,6,7} {2,3,4} {1,2,3} {2,3,4} {1,2,3} {1,1,2} {1,1,2}
PO2 {1/4,1/3,1/2} {1,1,2} {1,1,2} {1,2,3} {1,1,2} {1/3,1/2,1} {1,1,2} {1/3,1/2,1} {1/4,1/3,1/2} {1/4,1/3,1/2}
PO3 {1/4,1/3,1/2} {1,1,2} {1,1,2} {1,2,3} {1,1,2} {1/3,1/2,1} {1,1,2} {1/3,1/2,1} {1/4,1/3,1/2} {1/4,1/3,1/2}
PO4 {1/7,1/6,1/5} {1/3,1/2,1} {1/3,1/2,1} {1,1,2} {1/3,1/2,1} {1/5,1/4,1/3} {1/3,1/2,1} {1/5,1/4,1/3} {1/7,1/6,1/5} {1/7,1/6,1/5}
PO5 {1/4,1/3,1/2} {1,1,2} {1,1,2} {1,2,3} {1,1,2} {1/3,1/2,1} {1,1,2} {1/3,1/2,1} {1/4,1/3,1/2} {1/4,1/3,1/2}
PO6 {1/3,1/2,1} {1,2,3} {1,2,3} {3,4,5} {1,2,3} {1,1,2} {1,2,3} {1,1,2} {1/3,1/2,1} {1/3,1/2,1}
PO7 {1/4,1/3,1/2} {1,1,2} {1,1,2} {1,2,3} {1,1,2} {1/3,1/2,1} {1,1,2} {1/3,1/2,1} {1/4,1/3,1/2} {1/4,1/3,1/2}
PO8 {1/3,1/2,1} {1,2,3} {1,2,3} {3,4,5} {1,2,3} {1,1,2} {1,2,3} {1,1,2} {1/3,1/2,1} {1/3,1/2,1}
PO9 {1,1,2} {2,3,4} {2,3,4} {5,6,7} {2,3,4} {1,2,3} {2,3,4} {1,2,3} {1,1,2} {1,1,2}
PO10 {1,1,2} {2,3,4} {2,3,4} {5,6,7} {2,3,4} {1,2,3} {2,3,4} {1,2,3} {1,1,2} {1,1,2}
7: D 1 :P O (PO)
AI1 AI2 AI3 AI4 AI5 AI6 AI7
AI1 {1,1,2} {1,1,2} {8,9,9} {3,4,5} {8,9,9} {8,9,9} {1,2,3}
AI2 {1,1,2} {1,1,2} {8,9,9} {3,4,5} {8,9,9} {8,9,9} {1,2,3}
AI3 {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
AI4 {1/5,1/4,1/3} {1/5,1/4,1/3} {8,9,9} {1,1,2} {8,9,9} {8,9,9} {1/3,1/2,1}
AI5 {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
AI6 {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
AI7 {1/3,1/2,1} {1/3,1/2,1} {8,9,9} {1,2,3} {8,9,9} {8,9,9} {1,1,2}
8:D 2 : A I (AI)
ME1 ME2 ME3 ME4
ME1 {1,1,2} {8,9,9} {1/3,1/2,1} {1/3,1/2,1}
ME2 {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8}
ME3 {1,2,3} {8,9,9} {1,1,2} {1,1,2}
ME4 {1,2,3} {8,9,9} {1,1,2} {1,1,2}
9: D 4 : M E (ME)
7/26/2019 Oscar Martin Medrano
22/52
DS1 DS2 DS3 DS4 DS5 DS6 DS7 DS8 DS9
DS1 {1,1,2} {8,9,9} {3,4,5} {1,2,3} {8,9,9} {8,9,9} {3,4,5} {8,9,9} {8,9,9}
DS2 {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2}
DS3 {1/5,1/4,1/3} {8,9,9} {1,1,2} {1/3,1/2,1} {8,9,9} {8,9,9} {1,1,2} {8,9,9} {8,9,9}
DS4 {1/3,1/2,1} {8,9,9} {1,2,3} {1,1,2} {8,9,9} {8,9,9} {1,2,3} {8,9,9} {8,9,9}
DS5 {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2}
DS6 {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2}
DS7 {1/5,1/4,1/3} {8,9,9} {1,1,2} {1/3,1/2,1} {8,9,9} {8,9,9} {1,1,2} {8,9,9} {8,9,9}
DS8 {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2}
DS9 {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2}
DS10 {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2}
DS11 {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2}
DS12 {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2}
DS13 {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2}
10: D 3 : E (D)
7/26/2019 Oscar Martin Medrano
23/52
20
Ea a (EV), aa aa aba c TIC, aaaa ca a a b a aa a aa b aa.
PO1 PO21 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10
PO1 {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8}
PO2 {8,9,9} {1,1,2} {1/3,1/2,1} {8,9,9} {1/5,1/4,1/3} {8,9,9} {8,9,9} {1/3,1/2,1} {8,9,9} {1/4,1/3,1/2}
PO3 {8,9,9} {1,2,3} {1,1,2} {8,9,9} {1/3,1/2,1} {8,9,9} {8,9,9} {1,1,2} {8,9,9} {1/3,1/2,1}
PO4 {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8}
PO5 {8,9,9} {3,4,5} {1,2,3} {8,9,9} {1,1,2} {8,9,9} {8,9,9} {1,2,3} {8,9,9} {1,2,3}
PO6 {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8}
PO7 {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8}
PO8 {8,9,9} {1,2,3} {1,1,2} {8,9,9} {1/3,1/2,1} {8,9,9} {8,9,9} {1,1,2} {8,9,9} {1/3,1/2,1}
PO9 {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8}
PO10 {8,9,9} {2,3,4} {1,2,3} {8,9,9} {1/3,1/2,1} {8,9,9} {8,9,9} {1,2,3} {8,9,9} {1,1,2}
11: D 1 : P O (PO)
AI1 AI2 AI3 AI4 AI5 AI6 AI7
AI1 {1,1,2} {1,1,2} {8,9,9} {1,2,3} {1,2,3} {1/3,1/2,1} {1,1,2}
AI2 {1,1,2} {1,1,2} {8,9,9} {1,2,3} {1,2,3} {1/3,1/2,1} {1,1,2}
AI3 {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8}AI4 {1/3,1/2,1} {1/3,1/2,1} {8,9,9} {1,1,2} {1,1,2} {1/4,1/3,1/2} {1/3,1/2,1}
AI5 {1/3,1/2,1} {1/3,1/2,1} {8,9,9} {1,1,2} {1,1,2} {1/4,1/3,1/2} {1/3,1/2,1}
AI6 {1,2,3} {1,2,3} {8,9,9} {2,3,4} {2,3,4} {1,1,2} {1,2,3}
AI7 {1,1,2} {1,1,2} {8,9,9} {1,2,3} {1,2,3} {1/3,1/2,1} {1,1,2}
12: D 2 : A I (AI)
ME1 ME2 ME3 ME4
ME1 {1,1,2} {1/3,1/2,1} {8,9,9} {1/3,1/2,1}
ME2 {1,2,3} {1,1,2} {8,9,9} {1/3,1/2,1}
ME3 {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8}
ME4 {1,2,3} {1,2,3} {8,9,9} {1,1,2}
13: D 4 : M E (ME)
7/26/2019 Oscar Martin Medrano
24/52
DS1 DS2 DS3 DS4 DS5 DS6 DS7 DS8 DS9
DS1 {1,1,2} {1,2,3} {3,4,5} {1,1,2} {8,9,9} {3,4,5} {1,2,3} {1,2,3} {1,1,2}
DS2 {1/3,1/2,1} {1,1,2} {1,2,3} {1/3,1/2,1} {8,9,9} {1,2,3} {1,1,2} {1,1,2} {1/3,1/2,1}
DS3 {1/5,1/4,1/3} {1/3,1/2,1} {1,1,2} {1/5,1/4,1/3} {8,9,9} {1,1,2} {1/3,1/2,1} {1/3,1/2,1} {1/5,1/4,1/3
DS4 {1,1,2} {1,2,3} {3,4,5} {1,1,2} {8,9,9} {3,4,5} {1,2,3} {1,2,3} {1,1,2}
DS5 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8
DS6 {1/5,1/4,1/3} {1/3,1/2,1} {1,1,2} {1/5,1/4,1/3} {8,9,9} {1,1,2} {1/3,1/2,1} {1/3,1/2,1} {1/5,1/4,1/3
DS7 {1/3,1/2,1} {1,1,2} {1,2,3} {1/3,1/2,1} {8,9,9} {1,2,3} {1,1,2} {1,1,2} {1/3,1/2,1}
DS8 {1/3,1/2,1} {1,1,2} {1,2,3} {1/3,1/2,1} {8,9,9} {1,2,3} {1,1,2} {1,1,2} {1/3,1/2,1}
DS9 {1,1,2} {1,2,3} {3,4,5} {1,1,2} {8,9,9} {3,4,5} {1,2,3} {1,2,3} {1,1,2}
DS10 {1,1,2} {1,2,3} {3,4,5} {1,1,2} {8,9,9} {3,4,5} {1,2,3} {1,2,3} {1,1,2}
DS11 {1,2,3} {2,3,4} {5,6,7} {1,2,3} {8,9,9} {5,6,7} {2,3,4} {2,3,4} {1,2,3}
DS12 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8
DS13 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8
14: D 3 E : E (D)
7/26/2019 Oscar Martin Medrano
25/52
22
a a aac c (AR), a a , aac ac TIC aac ca a caa ac TIC aa aac aa aa c b ac a c aca .
PO1 PO21 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10
PO1 {1,1,2} {1,2,3} {1/3,1/2,1} {1,2,3} {1,2,3} {8,9,9} {1,2,3} {8,9,9} {8,9,9} {1,1,2}
PO2 {1/3,1/2,1} {1,1,2} {1/3,1/2,1} {1,1,2} {1,1,2} {8,9,9} {1,1,2} {8,9,9} {8,9,9} {1/3,1/2,1}
PO3 {1,2,3} {1,2,3} {1,1,2} {1,2,3} {1,2,3} {8,9,9} {1,2,3} {8,9,9} {8,9,9} {1,2,3}
PO4 {1/3,1/2,1} {1,1,2} {1/3,1/2,1} {1,1,2} {1,1,2} {8,9,9} {1,1,2} {8,9,9} {8,9,9} {1/3,1/2,1}
PO5 {1/3,1/2,1} {1,1,2} {1/3,1/2,1} {1,1,2} {1,1,2} {8,9,9} {1,1,2} {8,9,9} {8,9,9} {1/3,1/2,1}
PO6 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
PO7 {1/3,1/2,1} {1,1,2} {1/3,1/2,1} {1,1,2} {1,1,2} {8,9,9} {1,1,2} {8,9,9} {8,9,9} {1/3,1/2,1}
PO8 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
PO9 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
PO10 {1,1,2} {1,2,3} {1/3,1/2,1} {1,2,3} {1,2,3} {8,9,9} {1,2,3} {8,9,9} {8,9,9} {1,1,2}
15: D 1 : P O (PO)
AI1 AI2 AI3 AI4 AI5 AI6 AI7
AI1 {1,1,2} {8,9,9} {1,1,2} {1,2,3} {1/3,1/2,1} {1/3,1/2,1} {1,1,2}
AI2 {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8}
AI3 {1,1,2} {8,9,9} {1,1,2} {1,2,3} {1/3,1/2,1} {1/3,1/2,1} {1,1,2}
AI4 {1/3,1/2,1} {8,9,9} {1/3,1/2,1} {1,1,2} {1/5,1/4,1/3} {1/4,1/3,1/2} {1/3,1/2,1}
AI5 {1,2,3} {8,9,9} {1,2,3} {3,4,5} {1,1,2} {1,2,3} {1,2,3}
AI6 {1,2,3} {8,9,9} {1,2,3} {2,3,4} {1/3,1/2,1} {1,1,2} {1,2,3}
AI7 {1,1,2} {8,9,9} {1,1,2} {1,2,3} {1/3,1/2,1} {1/3,1/2,1} {1,1,2}
16: D 2 : A I (AI)
ME1 ME2 ME3 ME4
ME1 {1,1,2} {8,9,9} {8,9,9} {1/3,1/2,1}
ME2 {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
ME3 {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
ME4 {1,2,3} {8,9,9} {8,9,9} {1,1,2}
17: D 4 : M E (ME)
7/26/2019 Oscar Martin Medrano
26/52
DS1 DS2 DS3 DS4 DS5 DS6 DS7 DS8 DS9 DS
DS1 {1,1,2} {3,4,5} {1,2,3} {1,2,3} {8,9,9} {1,2,3} {3,4,5} {8,9,9} {1,1,2} {8,9
DS2 {1/5,1/4,1/3} {1,1,2} {1/3,1/2,1} {1/3,1/2,1} {8,9,9} {1/3,1/2,1} {1,1,2} {8,9,9} {1/5,1/4,1/3} {8,9
DS3 {1/3,1/2,1} {1,2,3} {1,1,2} {1,1,2} {8,9,9} {1,1,2} {1,2,3} {8,9,9} {1/3,1/2,1} {8,9
DS4 {1/3,1/2,1} {1,2,3} {1,1,2} {1,1,2} {8,9,9} {1,1,2} {1,2,3} {8,9,9} {1/3,1/2,1} {8,9
DS5 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1
DS6 {1/3,1/2,1} {1,2,3} {1,1,2} {1,1,2} {8,9,9} {1,1,2} {1,2,3} {8,9,9} {1/3,1/2,1} {8,9
DS7 {1/5,1/4,1/3} {1,1,2} {1/3,1/2,1} {1/3,1/2,1} {8,9,9} {1/3,1/2,1} {1,1,2} {8,9,9} {1/5,1/4,1/3} {8,9
DS8 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1
DS9 {1,1,2} {3,4,5} {1,2,3} {1,2,3} {8,9,9} {1,2,3} {3,4,5} {8,9,9} {1,1,2} {8,9
DS10 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1
DS11 {1,2,3} {5,6,7} {2,3,4} {2,3,4} {8,9,9} {2,3,4} {5,6,7} {8,9,9} {1,2,3} {8,9
DS12 {1/5,1/4,1/3} {1,1,2} {1/3,1/2,1} {1/3,1/2,1} {8,9,9} {1/3,1/2,1} {1,1,2} {8,9,9} {1/5,1/4,1/3} {8,9
DS13 {1/3,1/2,1} {1,2,3} {1,1,2} {1,1,2} {8,9,9} {1,1,2} {1,2,3} {8,9,9} {1/3,1/2,1} {8,9
18: D 3 : E (D)
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24
a aac (AR) c abaa c c c aa TIC acab a a b aaa aab a cca aac TIC aaa aa aa aca TIC c acab cc. Ic a aba aac a aac,aa c a TIC.
PO1 PO21 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10
PO1 {1,1,2} {2,3,4} {1,2,3} {1,2,3} {8,9,9} {1/3,1/2,1} {2,3,4} {1,2,3} {1/3,1/2,1} {1,1,2}
PO2 {1/4,1/3,1/2} {1,1,2} {1/3,1/2,1} {1/3,1/2,1} {8,9,9} {1/5,1/4,1/3} {1,1,2} {1/3,1/2,1} {1/7,1/6,1/5} {1/4,1/3,1/2}
PO3 {1/3,1/2,1} {1,2,3} {1,1,2} {1,1,2} {8,9,9} {1/3,1/2,1} {1,2,3} {1,1,2} {1/4,1/3,1/2} {1/3,1/2,1}
PO4 {1/3,1/2,1} {1,2,3} {1,1,2} {1,1,2} {8,9,9} {1/3,1/2,1} {1,2,3} {1,1,2} {1/4,1/3,1/2} {1/3,1/2,1}
PO5 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8}
PO6 {1,2,3} {3,4,5} {1,2,3} {1,2,3} {8,9,9} {1,1,2} {3,4,5} {1,2,3} {1/3,1/2,1} {1,2,3}
PO7 {1/4,1/3,1/2} {1,1,2} {1/3,1/2,1} {1/3,1/2,1} {8,9,9} {1/5,1/4,1/3} {1,1,2} {1/3,1/2,1} {1/7,1/6,1/5} {1/4,1/3,1/2}
PO8 {1/3,1/2,1} {1,2,3} {1,1,2} {1,1,2} {8,9,9} {1/3,1/2,1} {1,2,3} {1,1,2} {1/4,1/3,1/2} {1/3,1/2,1}
PO9 {1,2,3} {5,6,7} {2,3,4} {2,3,4} {8,9,9} {1,2,3} {5,6,7} {2,3,4} {1,1,2} {1,2,3}
PO10 {1,1,2} {2,3,4} {1,2,3} {1,2,3} {8,9,9} {1/3,1/2,1} {2,3,4} {1,2,3} {1/3,1/2,1} {1,1,2}
19: D 1 : P O (PO)
AI1 AI2 AI3 AI4 AI5 AI6 AI7
AI1 {1,1,2} {1,1,2} {8,9,9} {1,2,3} {8,9,9} {8,9,9} {1,1,2}
AI2 {1,1,2} {1,1,2} {8,9,9} {1,2,3} {8,9,9} {8,9,9} {1,1,2}
AI3 {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
AI4 {1/3,1/2,1} {1/3,1/2,1} {8,9,9} {1,1,2} {8,9,9} {8,9,9} {1/3,1/2,1}
AI5 {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
AI6 {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
AI7 {1,1,2} {1,1,2} {8,9,9} {1,2,3} {8,9,9} {8,9,9} {1,1,2}
20: D 2 : A I (AI)ME1 ME2 ME3 ME4
ME1 {1,1,2} {1/3,1/2,1} {1/3,1/2,1} {1/3,1/2,1}
ME2 {1,2,3} {1,1,2} {1/3,1/2,1} {1/3,1/2,1}
ME3 {1,2,3} {1,2,3} {1,1,2} {1,1,2}
ME4 {1,2,3} {1,2,3} {1,1,2} {1,1,2}
21: D 4 : M E (ME)
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DS1 DS2 DS3 DS4 DS5 DS6 DS7 DS8 DS9 DS
DS1 {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/
DS2 {8,9,9} {1,1,2} {1,2,3} {1/3,1/2,1} {1/4,1/3,1/2} {8,9,9} {1,2,3} {8,9,9} {1,1,2} {1,1
DS3 {8,9,9} {1/3,1/2,1} {1,1,2} {1/5,1/4,1/3} {1/7,1/6,1/5} {8,9,9} {1,1,2} {8,9,9} {1/3,1/2,1} {1/3,1
DS4 {8,9,9} {1,2,3} {3,4,5} {1,1,2} {1/3,1/2,1} {8,9,9} {3,4,5} {8,9,9} {1,2,3} {1,2
DS5 {8,9,9} {2,3,4} {5,6,7} {1,2,3} {1,1,2} {8,9,9} {5,6,7} {8,9,9} {2,3,4} {2,3
DS6 {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/
DS7 {8,9,9} {1/3,1/2,1} {1,1,2} {1/5,1/4,1/3} {1/7,1/6,1/5} {8,9,9} {1,1,2} {8,9,9} {1/3,1/2,1} {1/3,1
DS8 {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/
DS9 {8,9,9} {1,1,2} {1,2,3} {1/3,1/2,1} {1/4,1/3,1/2} {8,9,9} {1,2,3} {8,9,9} {1,1,2} {1,1
DS10 {8,9,9} {1,1,2} {1,2,3} {1/3,1/2,1} {1/4,1/3,1/2} {8,9,9} {1,2,3} {8,9,9} {1,1,2} {1,1
DS11 {8,9,9} {2,3,4} {5,6,7} {1,2,3} {1,1,2} {8,9,9} {5,6,7} {8,9,9} {2,3,4} {2,3
DS12 {8,9,9} {1,1,2} {1,2,3} {1/3,1/2,1} {1/4,1/3,1/2} {8,9,9} {1,2,3} {8,9,9} {1,1,2} {1,1
DS13 {1,1,2} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1/9,1/
22: D 3 : E (D)
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26
C a a c (MD) ca b TIca c c aca a a TIC c a caa.D b ca a acaa a a a acccca ca.
PO1 PO21 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10
PO1 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
PO2 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
PO3 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
PO4 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
PO5 {8,9,9} {8,9,9} {8,9,9} {8,9,9} {1,1,2} {8,9,9} {1,2,3} {8,9,9} {8,9,9} {1/3,1/2,1}
PO6 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
PO7 {8,9,9} {8,9,9} {8,9,9} {8,9,9} {1/3,1/2,1} {8,9,9} {1,1,2} {8,9,9} {8,9,9} {1/4,1/3,1/2}
PO8 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
PO9 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
PO10 {8,9,9} {8,9,9} {8,9,9} {8,9,9} {1,2,3} {8,9,9} {2,3,4} {8,9,9} {8,9,9} {1,1,2}
23: D 1 : P O (PO)
AI1 AI2 AI3 AI4 AI5 AI6 AI7
AI1 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8}
AI2 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8}
AI3 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8}
AI4 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8}
AI5 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8}
AI6 {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1,1,2} {1/9,1/9,1/8}
AI7 {8,9,9} {8,9,9} {8,9,9} {8,9,9} {8,9,9} {8,9,9} {1,1,2}
24: D 2 : A I (AI)
ME1 ME2 ME3 ME4
ME1 {1,1,2} {8,9,9} {8,9,9} {1,1,2}
ME2 {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
ME3 {1/9,1/9,1/8} {1,1,2} {1,1,2} {1/9,1/9,1/8}
ME4 {1,1,2} {8,9,9} {8,9,9} {1,1,2}
25: D 4 : M E (ME)
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DS1 DS2 DS3 DS4 DS5 DS6 DS7 DS8 DS9
DS1 {1,1,2} {3,4,5} {3,4,5} {1,2,3} {8,9,9} {3,4,5} {8,9,9} {3,4,5} {8,9,9}
DS2 {1/5,1/4,1/3} {1,1,2} {1,1,2} {1/3,1/2,1} {8,9,9} {1,1,2} {8,9,9} {1,1,2} {8,9,9}
DS3 {1/5,1/4,1/3} {1,1,2} {1,1,2} {1/3,1/2,1} {8,9,9} {1,1,2} {8,9,9} {1,1,2} {8,9,9}
DS4 {1/3,1/2,1} {1,2,3} {1,2,3} {1,1,2} {8,9,9} {1,2,3} {8,9,9} {1,2,3} {8,9,9}
DS5 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2}
DS6 {1/5,1/4,1/3} {1,1,2} {1,1,2} {1/3,1/2,1} {8,9,9} {1,1,2} {8,9,9} {1,1,2} {8,9,9}
DS7 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2}
DS8 {1/5,1/4,1/3} {1,1,2} {1,1,2} {1/3,1/2,1} {8,9,9} {1,1,2} {8,9,9} {1,1,2} {8,9,9}
DS9 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2}
DS10 {1/3,1/2,1} {1,2,3} {1,2,3} {1,1,2} {8,9,9} {1,2,3} {8,9,9} {1,2,3} {8,9,9}
DS11 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2}
DS12 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2}
DS13 {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2} {1/9,1/9,1/8} {1,1,2}
26: D 3 : E (D)
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28
1.6.4
C a cca, 1, ca a cca cca c aa , a a a aa a cca a a. E ca a aa Maaca aa c aac (c) a a a cca, a c
ab. A cac c aa a aa ac.
(* AEGIC ALIGNMEN *)A=1,4,5,3,1/4,1,2,1/2,1/5,1/2,1,1/2,1/3,2,2,1ENA
1A=1,3,3,6,3,2,3,2,1,1,0.3333,1,1,2,1,0.5,1,0.5,0.3333,0.3333,0.3333,1,1,2,1,0.5,1,0.5,0.3333,0.3333,0.16666,0.5,0.5,1,0.5,0.25,0.5,0.25,0.16666,0.16666,0.3333,1,1,2,1,0.5,1,0.5,0.3333,0.3333,0.5,2,2,4,2,1,2,1,0.5,0.5,0.3333,1,1,2,1,0.5,1,0.5,0.3333,0.3333,0.5,2,2,4,2,1,2,1,0.5,0.5,1,3,3,6,3,2,3,2,1,1,1,3,3,6,3,2,3,2,1,1EN1A2A=1,1,9,4,9,9,2,1,1,9,4,9,9,2,0.1111,0.1111,1,0.1111,1,1,0.1111,0.25,0.25,9,1,9,9,0.5,0.1111,0.1111,1,0.11111,1,1,0.1111,0.1111,0.1111,1,0.1111,1,1,0.1111,0.5,0.5,9,2,9,9,1EN2A3A=1,9,4,2,9,9,4,9,9,9,9,9,9,0.1111,1,0.1111,0.1111,1,1,0.1111,1,1,1,1,1,1,0.25,9,1,0.5,9,9,1,9,9,9,9,9,9,0.5,9,2,1,9,9,2,9,9,9,9,9,9,0.1111,1,0.1111,0.1111,1,1,0.1111,1,1,1,1,1,1,0.1111,1,0.1111,0.1111,1,1,0.1111,1,1,1,1,1,1,0.25,9,1,0.5,9,9,1,9,9,9,9,9,9,0.1111,1,0.1111,0.1111,1,1,0.1111,1,1,1,1,1,1,0.11
11,1,0.1111,0.1111,1,1,0.1111,1,1,1,1,1,1,0.1111,1,0.1111,0.1111,1,1,0.1111,1,1,1,1,1,1,0.1111,1,0.1111,0.1111,1,1,0.1111,1,1,1,1,1,1,0.1111,1,0.1111,0.1111,1,1,0.1111,1,1,1,1,1,1,0.1111,1,0.1111,0.1111,1,1,0.1111,1,1,1,1,1,1EN3A4A=1,9,0.5,0.5,0.1111,1,0.1111,0.1111,2,9,1,1,2,9,1,1EN4A
MAX CI RCAacaca 4,056590 4 0,9 0,020959
D1 10,024900 10 1,49 0,001857
D2 7,334600 7 1,32 0,042247
D3 13,305000 13 1,56 0,016293D4 4,060650 4 0,9 0,022463
MAX CI RCEa a
4,071010 4 0,9 0,026300
D1 10,349600 10 1,49 0,026070
D2 7,152590 7 1,32 0,019266
D3 13,679800 13 1,56 0,036314
D4 4,121320 4 0,9 0,044933
MAX CI RCG Rc 4,071010 4 0,9 0,026300
D1 10,243800 10 1,49 0,018180
D2 7,207450 7 1,32 0,026193
D3 13,689900 13 1,56 0,036854
D4 4,060650 4 0,9 0,022463
MAX CI RCG
4,081270 4 0,9 0,030100
D1 10,370300 10 1,49 0,027614
D2 7,0895307 1,32
0,011304
D3 13,823900 13 1,5 0,044012
D4 4,060650 4 0,9 0,022463
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MAX CI RCMa
4,000000 4 0,9 0,000000
D1 10,160100 10 1,49 0,011939
D2 7,000000 7 1,32 0,000000
D3 13,463400 13 1,56 0,024754
D4 4,000000 4 0,9 0,000000 27:
E a aba cba a a ca a cca RC a10%, a a aba a a c a a a COBIT c c aa aca .
1.6.5
Ua caca caac a a, a a FAHP caca aacaa c. C ca a a a DY Ca,(1992) aa caca . A a aba a b :
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2. .
2.1
Paa ba a a b a ca aaa a
aa aa a Ua Va R S a baa R Ga S, c a aaa aa D. A Ab Va acaa c Gb a Tca a ac. E aa ba a aa aa a Tca a Iac.
La a c caba a caa a ca b a ac COBIT aac. S cca aa aa caac a acaa aca a aac ca aacaa c. U a :
Ga IPO9 A MD1 4 ID9 Ba
MPO1 4 MPO10 5 ID1 Ma MD10 4
IPO1 Ma IPO10 A MD2 5 ID10 MaNPO2 4 MAI1 5 ID2 Ma MD11 4
IPO2 Ma IAI1 A MD3 4 ID11 Ba
MPO3 5 MAI2 4 ID3 Ma MD12 3
IPO3 Ma IAI2 Ma MD4 5 ID12 Ba
MPO4 3 MAI3 5 ID4 A MD13 4
IPO4 Ma IAI3 A MD5 5 ID13 Ma
MPO5 4 MAI4 3 ID5 A MMO1 4
IPO5 Ma IAI4 Ba MD6 4 IMO1 Ba
MPO6 4 MAI5 4 ID6 Ma MMO2 3IPO6 A IAI5 Ma MD7 3 IMO2 Ba
MPO7 4 MAI6 3 ID7 Ba MMO3 3
IPO7 Ma IAI6 Ba MD8 4 IMO3 Ba
MPO8 5 MAI7 4 ID8 Ba MMO4 4
IPO8 A IAI7 Ma MD9 3 IMO4 Ma
MPO9 5Tabla 29: Ejemplo registro de encuesta
E ca a ca a aa a a, ca a a aa aa aca, ca a M ca a c 0a 5 a I ca aca ba, a.
2.2
A a b a aba 28 aa a aac a 77 a a Ga R S Ba aa a ca b a baa caa a a a :
I A
E
G
G
M
P
1 Pa 1,43198 2,28794 2,18173 2,09508 2,15804 2,030954
2 Ga 4,27031 4,19335 4,24911 4,26986 4,11868 4,2202623 Ma 3,44520 3,29923 3,22552 3,30304 3,14736 3,28407
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4 Mc 1,10994 1,43029 1,51294 1,64414 1,10392 1,360246
5 Ga 4,27472 4,19093 4,15258 4,10700 4,63109 4,271264
6 Ga 1,22760 2,35093 1,77654 1,67369 2,37412 1,880576
7 Ga 4,26873 3,95092 4,03374 4,12862 4,18291 4,112984
8 Ma 3,81651 4,04561 4,00713 4,08422 3,78584 3,947862
9 Ga 4,54623 4,30979 4,16454 4,58333 4,54128 4,429034
10 Pa 0,89062 1,09704 1,30744 1,42446 0,84023 1,111958
11 Ma 3,72420 3,95457 3,90753 3,75067 3,64736 3,796866
12 Pa 1,82837 1,70077 1,38928 1,62957 1,96458 1,702514
13 Ma 3,26674 3,12539 3,21793 3,30039 3,55973 3,294036
14 Ma 2,40343 2,25132 2,31950 2,29302 2,69062 2,391578
15 Mc 0,55589 0,64045 0,69853 0,84127 0,33311 0,61385
16 Pa 1,39869 0,93620 1,00415 0,99427 1,14021 1,094704
17 Ma 2,77273 3,17486 3,00885 3,25648 3,03145 3,048874
18 Ga 3,96720 4,22431 4,16272 4,41511 4,45647 4,245162
19 Ga 3,34696 3,85643 3,84599 3,73687 2,97764 3,552778
20 Mc 0,81604 1,22605 1,21794 1,01402 0,96407 1,047624
21 Ga 4,01159 4,05310 3,92578 4,29788 4,42030 4,14173
22 Ma 1,28610 2,43267 2,22608 2,12446 2,19086 2,052034
23 Pa 2,47247 3,39653 3,22166 3,01010 3,56645 3,133442
24 Ma 1,20566 1,71608 1,39448 1,47082 1,68765 1,494938
25 Pa 0,32312 0,49632 0,44081 0,41107 0,23683 0,38163
26 Mc 0,74499 0,61176 0,50612 0,72026 0,47006 0,610638
27 Ga 3,57202 4,06464 4,06631 3,72783 3,98890 3,88394
28 Ga 3,57202 3,83182 3,93060 3,42810 3,68341 3,68919
29 Pa 2,05263 2,13537 1,87471 2,14567 1,75473 1,992622
30 Ma 3,25170 3,28728 3,24382 3,28397 3,33923 3,2812
31 Ma 3,16943 2,65801 2,75170 2,84275 2,33148 2,750674
32 Ma 2,25714 2,66328 2,35073 2,00664 2,67854 2,391266
33 Ma 3,44525 3,53431 3,49596 3,65661 3,29141 3,484708
34 Pa 0,77390 1,30587 1,15701 1,10243 1,65361 1,198564
35 Ga 4,68529 4,89035 4,81742 4,77668 4,86968 4,80788436 Ga 3,02982 3,06982 3,10461 3,31621 2,99068 3,102228
37 Ma 2,52822 2,64807 2,80063 3,00466 2,12984 2,622284
38 Ga 4,01822 4,39829 4,38403 4,44563 4,37122 4,323478
39 0,68973 1,01707 0,82830 1,12828 0,96572 0,92582
40 Ga 3,48564 3,75908 3,75714 3,86032 3,80269 3,732974
41 Pa 1,95752 1,65240 1,80105 1,87439 1,22655 1,702382
42 Ma 2,46611 2,68269 2,50419 2,51275 2,44359 2,521866
43 Pa 1,45335 1,27467 1,20410 1,81661 0,93427 1,3366
44 Pa 2,00007 2,03186 2,00936 2,03587 2,04853 2,025138
45 Ma 1,94145 2,41021 2,45012 2,48275 2,49815 2,356536
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46 Ma 4,35956 4,70521 4,49023 4,64483 4,90724 4,621414
47 Ga 4,25533 3,98970 3,97910 4,46484 4,61007 4,259808
48 Ma 2,68777 2,77785 2,85714 2,97877 2,12111 2,684528
49 Ma 2,09443 2,16569 2,28752 2,40457 1,67331 2,125104
50 Ma 0,22195 0,62240 0,48255 0,25284 0,30094 0,376136
51 Pa 0,45419 0,43223 0,34282 0,46573 0,29289 0,397572
52 Ma 1,61044 1,53635 1,57312 1,52920 1,66733 1,583288
53 Mc 2,65425 2,92726 2,90795 3,12677 2,67112 2,85747
54 Ga 2,32426 1,70105 1,48084 2,50485 2,16048 2,034296
55 Pa 1,82591 1,92751 1,86962 1,87313 1,69146 1,837526
56 Ma 1,77840 2,36513 2,31582 2,05381 2,26130 2,154892
57 Ma 2,81022 2,91996 2,96959 2,76883 2,49259 2,792238
58 Mc 2,58439 2,01974 1,71114 2,23654 1,76106 2,062574
59 Mc 3,02021 2,91289 2,46422 2,90287 3,29813 2,919664
60 Ma 2,87401 3,19254 3,29448 2,95334 3,29794 3,122462
61 Mc 3,08992 3,09404 2,64288 3,03582 3,49981 3,072494
62 Ma 3,70128 3,16132 3,18724 3,17668 3,19287 3,283878
63 Ma 2,03389 1,36621 1,54467 1,88054 1,54223 1,673508
64 Pa 0,64971 0,43501 0,44254 0,58951 0,29289 0,481932
65 Ma 0,52482 1,53224 2,00944 1,03370 1,75450 1,37094
66 Ma 3,25235 2,78950 3,02750 3,25455 2,95116 3,055012
67 Ma 1,35440 1,69894 1,26939 1,81205 1,56522 1,54
68 Ga 4,67738 4,36277 4,41021 4,55149 4,53854 4,508078
69 Pa 0,66111 1,09170 1,03807 1,28546 1,11882 1,039032
70 Mc 0,93003 1,11016 1,15639 0,76806 0,84073 0,961074s
71 Ga 4,11555 4,17196 3,79726 4,18791 4,09271 4,073078
72 Ga 4,17640 4,39031 4,41556 4,34354 4,42727 4,350616
73 Ga 4,45458 4,27371 4,24310 4,32857 4,43379 4,34675
74 Pa 0,62803 0,63480 0,68867 0,54683 0,15415 0,530496
75 Mc 0,25722 0,45520 0,39249 0,52307 0,37427 0,40045
76 Ma 2,14955 1,74188 1,96984 2,11655 1,92965 1,981494
77 Pa 2,57683 2,83599 2,65237 2,85654 2,36679 2,657704P 2,44862 2,566352 2,51356 2,590644 2,513057 2,526447
Tabla 30 : Modelos de madurez empresas encuestadas
La ca c c cc b aa caa c a c ca a c caaca.
Ea aba a a a a a aa a a ac a caaca c c b c a EM a a aa Wa c ac aa a a b a.
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2.3 G
U ba aa a a ca aca a a, aa , a a a acaa aca. A a a b a ca, a aa aca a a a caa c. Ga caa c a a ac c c COBIT, aa a cca b a a aba a ca c a ca.
L a ca a a a a :
7 Ga 4,26873 3,95092 4,03374 4,12862 4,18291 4,112984
Ha ca a a a c a aca a a aba 29.
E a aba a b aaa aa a aca a caa c a a a caa c a a ab aaba 29.
E a a a a aba cca ba, a caaa ab , a aca COBIT, , a aca a aac.
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E a cca a a a a a aac :
MA CI C C COBIA 4,065780 4 0,9 0,024363 0,020959
D1 10,029800 10 1,49 0,002222 0,001857D2
7,501730 7 1,32
0,063350 0,042247
D3 13,292300 13 1,56 0,015614 0,016293D4 4,185520 4 0,9 0,068711 0,022463
MA CI C C COBIE
4,014520 4 0,9 0,005378 0,026300
D1 10,215500 10 1,49 0,016070 0,026070
D2 7,168140 7 1,32 0,021230 0,019266
D3 13,324800 13 1,56 0,017350 0,036314
D4 4,185520 4 0,9 0,068711 0,044933
MA CI C C COBIG 4,065780 4 0,9 0,024363 0,026300
D1 10,243800 10 1,49 0,018180 0,018180
D2 7,413700 7 1,32 0,052235 0,026193
D3 13,591800 13 1,56 0,031613 0,036854
D4 4,249230 4 0,9 0,092307 0,022463
MA CI C C COBIG 4,081270 4 0,9 0,030100 0,030100
D1 10,279400 10 1,49 0,020835 0,027614
D2 7,198860 7 1,32 0,025109 0,011304
D3 13,823900 13 1,5 0,044012 0,044012
D4 4,000000 4 0,9 0,000000 0,022463
MA CI C C COBIM 4,051810 4 0,9 0,019189 0,000000
D1 10,069000 10 1,49 0,005145 0,011939
D2 7,000000 7 1,32 0,000000 0,000000
D3 13,358900 13 1,56 0,019172 0,024754
D4 4,060650 4 0,9 0,022463 0,000000
Tabla 32: Ratios de consistencia con niveles de importancia de empresa tipo
E ca aca a cc cca a ca caa a a, a a a ba 10%. A aca aaca COBIT a a c bc a a aac. A ca ac aac a cca a a a COBIT, a a ac a ca, a a a a a. P ca a c a a cca, a a a c caa.
C abc a b, a aa c a a b a baa b, a a a a ba aac a COBIT a a aa aac.
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A ca a b c b c aca c COBITb a aba:
C aca COBIT
C aca a a
Aa Eac 4,2687344 4,4023508Ea a 3,95092363 4,18430079
G c 4,0337365 4,18933704G 4,12861912 4,28118002
Ma 4,18291065 4,29878113Ma: 4,11298486 4,271189956
Tabla 33: Valores por nivel de importancia y por rea de enfoque.
S ba a a aa c a ba a c , ca a aac ba ca a a cca a abaaa a.
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3.
Haa aa aa cca c aac c aa a ccb a b a ca, a a aa a cca bca a a aa aa a aac a b.
P aca a EM a a aac c, b a aac a aac a b a a a caa c. S aa ca, c5 b aaac b. E b a aac a a COBIT, ca 0.
Ua b c aca a cc ab aa cba ab aa a aca a c b abcca.
P aca a a acac b c aa bca a cca c aac c a cc ab a ac a aca a cc ab.
Paa c a a aa Wa (Waa E K Aa) aa Mac La a Ua Waa NaZaa.
3.1 .
A a a a ca aaa a a 77 a a a aca a EM c aaa Wa. E a EM (Eca Maa) aa a caa aca abc baba ca a c. E a c c c cabaa aac caa, cca a c b a. Ua Gaa ca, a ab aab aaa .E baa aba a a ca ac.
E ba ab bc caa a cc a a bc. E a EM ( ) a aa a a bc a aa caca a baba caa b ca a c a a baba aa a a a a baba, aa c ( a aa a baba b ca a a ca).
E cc a baba a ca a a a ca a a .
E a caca a a a bc, , aa a a bc a a.
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A 6 a a COBIT, c a 0, , a a aca a ca cca 5 c (04), aa aa a c a a COBIT. Wa a.
0 17 ( 22%)
1 20 ( 26%)
2 11 ( 14%)
3 26 ( 34%)
4 3 ( 4%)
L : 47.28982
C 0 1 2 3 4Pc 17 (22%) 20(26%) 11 (14%) 26 (34%) 3 (4%)
PO1 3 3,7001 0,7273 1,8418 0,3333
PO2 3,0586 3,8 0,7273 1,34 0,6667PO3 3,1115 4,3499 0,9091 1,5753 4,3333PO4 2,9945 4,0499 0,8182 1,3051 1PO5 3,2868 4,4001 0,9091 2,3861 4,6667PO6 2,5322 3,75 0 1,2242 4PO7 1,5963 3,6001 0,0909 0,7609 0PO8 2,8189 3,9501 1,1818 1,3051 4,6667PO9 2,9887 4,2001 0,6364 1,3475 3,3333PO10 3,1114 4,25 0,5455 1,4209 3,3333AI1 3,5209 4,3999 1,7273 1,7298 2,6667
AI2 3,3509 3,6501 0,8182 2,1893 4,6667AI3 3,053 4,0999 0,9091 1,7684 3,3333AI4 2,2928 3,9499 0,3636 1,3823 0AI5 3,4681 4,2999 0,8182 2,1893 0AI6 2,9945 3,8999 0,4545 1,807 4,6667AI7 3,1057 4,25 0,4545 1,6563 0DS1 2,8832 3,95 0,3636 1,9577 3,3333DS2 3,4095 4,5501 1,0909 2,3437 4,6667DS3 3,1697 4,0002 0,4545 1,7684 3DS4 3,7547 4,6001 1,2727 2,7721 1,3333DS5 4,1114 4,6 1 3,0386 1
DS6 2,9415 4,1001 0,5455 2,0735 2,6667DS7 2,0587 3,8 0,2727 2,1158 1DS8 2,8248 4,45 0,5455 1,5716 2DS9 3,5208 4,15 0,6364 1,614 0DS10 2,5852 4,3499 0,3636 1,9614 2,3333DS11 3,1644 4,1999 0,5455 1,8493 2,6667DS12 2,7076 3,9501 0,4545 1,726 4DS13 3,1756 4,35 0,6364 2,0735 2,6667MO1 2,5905 4,4002 0,0909 1,6102 2,3333MO2 2,7604 4,4001 0,8182 1,3823 3,6667
MO3 3,4095 4,35 0,6364 2,0735 3,6667MO4 2,9414 4,1502 0,5455 1,533 3,6667Tabla 34: Resultados algoritmo EM
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E b a 5 c c a aa 4 c; aa a c , a a ca a. Ec ca aa a , aa c a Ica, ca aa a b . E c c aa a aca c a,a aa a aa, aca
aa a a, c a ca, aa a. E a a a a a , a aabab.
A ba, c a a cac, a aca a a aacba caa a c aaa c ab c. A c c caa c a a, a c 3 4 c c ca b a.D aca a cab c 5 a baa , a a a c ca a a, a aa.
Aacaca
Ea a
G c
G
Ma
Ma
E a Iac a a c a EMa a a cc c. A ca aca caa c 1 c a aaa, c 2 a ca c 3 a , c c c c 5 b aa aca c c 1 c 5 a 4, a a a 3 c c 2.
3.2
Aca a c a cc ab bca c ca aa c aa a ca c c.
BF 2,3,5,6,7,8,9,10,11,15,16,17,18,19,22,23,24,26,27,30,31,32,34 : 23
SbSFaSc 2,3,5,6,7,8,9,10,11,15,16,17,18,19,22,23,24,26,27,30,31,32,34 : 23
Gc Sac 2,3,5,6,7,8,9,10,11,15,16,17,18,19,22,23,24,26, 30, 31,32,34 : 22
GSW 2,3,5,6,7,8,9,10,11,15,16,17,18,19,22,23,24,26,27,30,31,32,34 : 23LaFaSc 2,3,5,6,7,8,9,10,11,15,16,17,18,19,22,23,24,26,27,30,31,32,34 : 23
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RaSac 2,3,5,6,7,8,9,10,11,15,16,17,18,19,22,23,24,26,27,30,31,32,34 : 23
ScaSacV1* 2,3,5,6,7,8,9,10,11,15,16,17,18,19,22,23,24,26, 30,31,32,34 : 22
Ab c: 2,3,5,6,7,8,9,10, 11,15,16,17, 18,19,23,24,26,30, 31,32,34
Tabla 35: Resultados algoritmos seleccin de atributos
S b a aa a a b Gc Sac ScaSac. E a aba a a b c c acca ca.
P P
PO2 D a Aca a Iac PO1 D Pa Eac TI
PO3 Da a Dcc Tcca PO4 D Pc, Oaac Rac TI
PO5 Aa a I TI
PO6 Cca Aac a Dcc aGca
PO7 Aa Rc Ha TI
PO8 Aa a Caa
PO9 Eaa Aa R TI
PO10 Aa Pc
AI1 Ica c aaaa. AI2 A a a aca.
AI5 A c TI. AI3 A a a aca cca
AI6 Aa cab. AI4 Faca a ac .
AI7 Iaa aca c cab.
DS1 D aa c DS3 Aa a caaca
DS2 Aa c c DS4Gaaa a ca c
DS6 Ica aa c DS5Gaaa a a a
DS7 Eca a a a DS8 Aa a a c c
DS9 Aa a cac DS10 Aa ba
DS13 Aa a ac DS11 Aa a
ME1 Ca Eaa D TI DS12 Aa ab c
ME2 Ca Eaa C I ME3 Gaaa C Ra
ME4 Pca Gb TI
Tabla 36: Procesos de COBIT a partir de los algoritmos empleados
3.3
S a aa a EM c c cca a aba 35 ca ca b a 5 c c a. Ob a
L : 29.07105
C 0 C 1 C 2 C 3 C 417 (0.22) 21 (0,27) 12 (0,16) 24 (0,31) 3 (0,04)
PO2 3,0584 3,7627 0,8281 1,2583 0,6667PO3 3,0054 4,3324 0,8581 1,6185 4,3333
PO5 3,179 4,3824 0,925 2,4647 4,6667PO6 2,4722 3,7612 0,0964 1,1705 4PO7 1,7591 3,4334 0,1714 0,6711 0
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PO8 2,8813 3,8128 1,1495 1,3023 4,6667PO9 2,8288 4,1911 0,6859 1,3695 3,3333PO10 3,0031 4,2387 0,4928 1,4697 3,3333AI1 3,359 4,427 1,6424 1,7634 2,6667AI5 3,4143 4,2849 0,8504 2,2111 0AI6 2,887 3,9036 0,5743 1,8054 4,6667
AI7 2,8907 4,2841 0,4326 1,7502 0DS1 2,8837 3,9046 0,4177 1,9706 3,3333DS2 3,3549 4,5244 1,0002 2,4276 4,6667DS6 2,8833 4,0956 0,5964 2,0891 2,6667DS7 2,0611 3,7151 0,2687 2,2127 1DS9 3,3583 4,1889 0,7753 1,5772 0DS13 3,1189 4,3338 0,6786 2,089 2,6667ME1 2,4719 4,4294 0,1714 1,5932 2,3333ME2 2,7072 4,3358 0,8429 1,3747 3,6667ME4 2,9963 4,0516 0,5147 1,544 3,6667Tabla 37: Resultado algoritmo EM sobre procesos elegidos por algoritmos de seleccin de atributos
L a cca a, c a aa c aca a a a cc a cc ab cc.
Aa a a a aca a EM, a ca ca b,a aa c c aa ca c cca a aba 35.
Paa ca c cc b a a c:
0 20 ( 26%)
1 27 ( 35%)
2 30 ( 39%)L : 50.72875
D , a a a cc b, ca c cca:
0 21 ( 27%)
1 28 ( 36%)
2 28 ( 36%)
L : 31.28479
E a aba ca a a ac ba aa , aa caa a c a b FAHP a a b c.
R1 aaac 5 b ab.
R2 aaac 5 b ab cca cca cc ab.
R3 cc b a ab.
R4 cc b a ab cca cca cc ab..
E aac a aa a c b,
a a ca R1 R2 .R3 R4. E ca a c c c c acc ab ba, a a.
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I TaaAa.Eac
Ea S
GRc
GR
Mc
Ma R1 R2 R3 R4
1 Pa 1,43198 2,28794 2,18173 2,09508 2,15804 2,030954 4 4 3 3
2 Ga 4,27031 4,19335 4,24911 4,26986 4,11868 4,220262 2 2 1 1
3 Ma 3,44520 3,29923 3,22552 3,30304 3,14736 3,28407 1 2 3 14 Mc 1,10994 1,43029 1,51294 1,64414 1,10392 1,360246 4 4 2 2
5 Ga 4,27472 4,19093 4,15258 4,10700 4,63109 4,271264 2 2 1 1
6 Ga 1,22760 2,35093 1,77654 1,67369 2,37412 1,880576 4 4 2 2
7 Ga 4,26873 3,95092 4,03374 4,12862 4,18291 4,112984 2 2 1 1
8 Ma 3,81651 4,04561 4,00713 4,08422 3,78584 3,947862 2 2 1 1
9 Ga 4,54623 4,30979 4,16454 4,58333 4,54128 4,429034 2 2 1 1
10 Pa 0,89062 1,09704 1,30744 1,42446 0,84023 1,111958 4 4 2 2
11 Ma 3,72420 3,95457 3,90753 3,75067 3,64736 3,796866 2 2 1 1
12 Pa 1,82837 1,70077 1,38928 1,62957 1,96458 1,702514 4 4 2 2
13 Ma 3,26674 3,12539 3,21793 3,30039 3,55973 3,294036 1 1 3 3
14 Ma 2,40343 2,25132 2,31950 2,29302 2,69062 2,391578 4 1 3 3
15 Mc 0,55589 0,64045 0,69853 0,84127 0,33311 0,61385 3 3 2 2
16 Pa 1,39869 0,93620 1,00415 0,99427 1,14021 1,094704 3 3 2 2
17 Ma 2,77273 3,17486 3,00885 3,25648 3,03145 3,048874 1 1 3 3
18 Ga 3,96720 4,22431 4,16272 4,41511 4,45647 4,245162 2 2 1 1
19 Ga 3,34696 3,85643 3,84599 3,73687 2,97764 3,552778 2 2 1 1
20 Mc 0,81604 1,22605 1,21794 1,01402 0,96407 1,047624 4 4 2 2
21 Ga 4,01159 4,05310 3,92578 4,29788 4,42030 4,14173 2 2 1 1
22 Ma 1,28610 2,43267 2,22608 2,12446 2,19086 2,052034 4 4 3 3
23 Pa 2,47247 3,39653 3,22166 3,01010 3,56645 3,133442 1 1 3 3
24 Ma 1,20566 1,71608 1,39448 1,47082 1,68765 1,494938 4 4 2 225 Pa 0,32312 0,49632 0,44081 0,41107 0,23683 0,38163 3 3 2 2
26 Mc 0,74499 0,61176 0,50612 0,72026 0,47006 0,610638 3 3 2 2
27 Ga 3,57202 4,06464 4,06631 3,72783 3,98890 3,88394 2 2 1 1
28 Ga 3,57202 3,83182 3,93060 3,42810 3,68341 3,68919 2 2 1 1
29 Pa 2,05263 2,13537 1,87471 2,14567 1,75473 1,992622 4 4 3 3
30 Ma 3,25170 3,28728 3,24382 3,28397 3,33923 3,2812 1 1 3 3
31 Ma 3,16943 2,65801 2,75170 2,84275 2,33148 2,750674 1 1 3 3
32 Ma 2,25714 2,66328 2,35073 2,00664 2,67854 2,391266 4 4 3 3
33 Ma 3,44525 3,53431 3,49596 3,65661 3,29141 3,484708 1 1 3 3
34 Pa 0,77390 1,30587 1,15701 1,10243 1,65361 1,198564 4 4 2 2
35 Ga 4,68529 4,89035 4,81742 4,77668 4,86968 4,807884 2 2 1 1
36 Ga 3,02982 3,06982 3,10461 3,31621 2,99068 3,102228 1 1 3 3
37 Ma 2,52822 2,64807 2,80063 3,00466 2,12984 2,622284 1 1 3 3
38 Ga 4,01822 4,39829 4,38403 4,44563 4,37122 4,323478 2 2 1 1
39 Pa 0,68973 1,01707 0,82830 1,12828 0,96572 0,92582 3 3 2 2
40 Ga 3,48564 3,75908 3,75714 3,86032 3,80269 3,732974 2 2 1 1
41 Pa 1,95752 1,65240 1,80105 1,87439 1,22655 1,702382 4 4 2 2
42 Ma 2,46611 2,68269 2,50419 2,51275 2,44359 2,521866 1 1 3 3
43 Pa 1,45335 1,27467 1,20410 1,81661 0,93427 1,3366 4 4 2 2
44 Pa 2,00007 2,03186 2,00936 2,03587 2,04853 2,025138 4 4 3 3
45 Ma 1,94145 2,41021 2,45012 2,48275 2,49815 2,356536 4 4 3 346 Ma 4,35956 4,70521 4,49023 4,64483 4,90724 4,621414 2 2 1 1
47 Ga 4,25533 3,98970 3,97910 4,46484 4,61007 4,259808 2 2 1 1
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48 Ma 2,68777 2,77785 2,85714 2,97877 2,12111 2,684528 1 1 3 3
49 Ma 2,09443 2,16569 2,28752 2,40457 1,67331 2,125104 4 4 3 2
50 Ma 0,22195 0,62240 0,48255 0,25284 0,30094 0,376136 3 3 2 2
51 Pa 0,45419 0,43223 0,34282 0,46573 0,29289 0,397572 3 3 2 2
52 Ma 1,61044 1,53635 1,57312 1,52920 1,66733 1,583288 4 4 2 2
53 Mc 2,65425 2,92726 2,90795 3,12677 2,67112 2,85747 1 1 3 3
54 Ga 2,32426 1,70105 1,48084 2,50485 2,16048 2,034296 4 4 2 255 Pa 1,82591 1,92751 1,86962 1,87313 1,69146 1,837526 4 4 2 2
56 Ma 1,77840 2,36513 2,31582 2,05381 2,26130 2,154892 4 4 3 3
57 Ma 2,81022 2,91996 2,96959 2,76883 2,49259 2,792238 1 1 3 3
58 Mc 2,58439 2,01974 1,71114 2,23654 1,76106 2,062574 5 5 3 3
59 Mc 3,02021 2,91289 2,46422 2,90287 3,29813 2,919664 5 5 3 3
60 Ma 2,87401 3,19254 3,29448 2,95334 3,29794 3,122462 1 1 3 3
61 Mc 3,08992 3,09404 2,64288 3,03582 3,49981 3,072494 5 5 3 3
62 Ma 3,70128 3,16132 3,18724 3,17668 3,19287 3,283878 1 1 3 3
63 Ma 2,03389 1,36621 1,54467 1,88054 1,54223 1,673508 4 4 2 2
64 Pa 0,64971 0,43501 0,44254 0,58951 0,29289 0,481932 3 3 2 265 Ma 0,52482 1,53224 2,00944 1,03370 1,75450 1,37094 4 4 2 2
66 Ma 3,25235 2,78950 3,02750 3,25455 2,95116 3,055012 1 1 3 3
67 Ma 1,35440 1,69894 1,26939 1,81205 1,56522 1,54 4 4 2 2
68 Ga 4,67738 4,36277 4,41021 4,55149 4,53854 4,508078 2 2 1 1
69 Pa 0,66111 1,09170 1,03807 1,28546 1,11882 1,039032 4 3 2 2
70 Mc 0,93003 1,11016 1,15639 0,76806 0,84073 0,961074 3 3 2 2
71 Ga 4,11555 4,17196 3,79726 4,18791 4,09271 4,073078 2 2 1 1
72 Ga 4,17640 4,39031 4,41556 4,34354 4,42727 4,350616 2 2 1 1
73 Ga 4,45458 4,27371 4,24310 4,32857 4,43379 4,34675 2 2 1 1
74 Pa 0,62803 0,63480 0,68867 0,54683 0,15415 0,530496 3 3 2 2
75 Mc 0,25722 0,45520 0,39249 0,52307 0,37427 0,40045 3 3 2 276 Ma 2,14955 1,74188 1,96984 2,11655 1,92965 1,981494 4 4 3 3
77 Pa 2,57683 2,83599 2,65237 2,85654 2,36679 2,657704 1 1 3 3Tabla 38: Tabla resumen resultados
E a a cba a ac ca a ca aac a a a c ca a cc ab.
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R.1 Paaa a 5 c c
R2 Paaa a 5 c ca c c a a cc ab.
Ra a EM ac b, a c a 3 c
R3 ac b ab.
R4 S aaac ca b ca c c a a cc ab.
S aca a aac aa a cc ab a ba a a a ca c, a c ca a cc ab c a a c c. M
aa a aa abaa c. La cc 3 c ca aa ca 3 a a a aa a aac.
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3.4
La acac a a a a ccca caacca, a a a aA c a a , (Ma, 2012):
1. Ga c . Ua aa a , aca.
S a b a c c a a a . E a b cbac a a ca.
2. Ga a a a ca c c cfiaa.
L a cc, b A c, a, a baa aca, aa a a a a a c a , a, a a a cca cba. A, ca c aa a ( ca cca a a a ac ba acca a, aca cc b c c), a c a a ac aca .
Ua aa a a, a a caa aa a a c c aca c a EM
A aa a a a, a a a c aac aa acaa a c 2, . La a aa aac acaa a c 1, a a Pa a c 4 .
Aca a A, c a c, caa 0,5 0,1 (8aca).
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A
=======
M : 0.1 (8 ac)
M c : 0.5
Nb cc : 18
Ga a :S a L(1): 8
S a L(2): 4
B :
1. R1=c2 20 ==> aa=Ga 17 c:(0.85)
2. aa=Ga 20 ==> R 1=c2 17 c:(0.85)
3. R 1=c1 17 ==> aa=Ma 13 c:(0.76)
4. aa=Pa 18 ==> R1=c4 10 c:(0.56)
E ca c a c a c a ca a cca aa bca acac, a
a ca bca c c a a ca , a c aba aa caa a a cac.
C a E ca c a 3 aa a Nca Ica, Rb D a Gca Oa.
Aca A a a a ca a 4 c aa a aa ab MO3: ME3 Gaaa C Ra. Bca c 15% caa a .5
M : 0.15 (12 ac)
M c : 0.5
Nb cc : 17
Ga a :
S a L(1): 8
S a L(2): 6
S a L(3): 2
B :
1. MO1='(NM4 NM5)' MO2='(NM4 NM5)' 17 ==> MO3='(NM4 NM5)' 17 c:(1)
2. MO1='(NM4 NM5)' MO2='(NM4 NM5)' MO4='(NM4 NM5)' 13 ==> MO3='(NM4 NM5)' 13 c:(1)
3. MO2='(NM4 NM5)' 23 ==> MO3='(NM4 NM5)' 22 c:(0.96)4. MO2='(NM4 NM5)' MO4='(NM4 NM5)' 17 ==> MO3='(NM4 NM5)' 16 c:(0.94)
5. MO1='(NM4 NM5)' MO4='(NM4 NM5)' 15 ==> MO3='(NM4 NM5)' 13 c:(0.87)
6. MO2='(NM0 NM1)' MO4='(NM0 NM1)' 19 ==> MO3='(NM0 NM1)' 16 c:(0.84)
7. MO1='(NM0 NM1)' MO2='(NM0 NM1)' MO4='(NM0 NM1)' 17 ==> MO3='(NM0 NM1)' 14 c:(0.82)
8. MO4='(NM4 NM5)' 25 ==> MO3='(NM4 NM5)' 20 c:(0.8)
9. MO1='(NM4 NM5)' 24 ==> MO3='(NM4 NM5)' 19 c:(0.79)
10. MO1='(NM0 NM1)' MO4='(NM0 NM1)' 20 ==> MO3='(NM0 NM1)' 15 c:(0.75)
11. MO2='(NM0 NM1)' 27 ==> MO3='(NM0 NM1)' 19 c:(0.7)
12. MO1='(NM0 NM1)' MO2='(NM0 NM1)' 24 ==> MO3='(NM0 NM1)' 16 c:(0.67)
13. MO2='(NM2 NM3)' 27 ==> MO3='(NM2 NM3)' 17 c:(0.63)
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14. MO4='(NM0 NM1)' 27 ==> MO3='(NM0 NM1)' 17 c:(0.63)
15. MO1='(NM0 NM1)' 32 ==> MO3='(NM0 NM1)' 17 c:(0.53)
16. MO4='(NM2 NM3)' 25 ==> MO3='(NM4 NM5)' 13 c:(0.52)
D c aca , a aca a c ca cb ab , a cc ac
aac a ca ca b , caacca a .
Conclusiones
C aca c aac c b aaa aac aaa aa c a Gbaa TIC. E a a a cba COBIT cc a a a cca .
E a b c a aa a aca aaa a caa ca 77 a a baa R Ga S. Ea a a cba a a a aba
a a cab c acaa.H aa a a a EM c, a a COBIT a ca a 3 a a aac a a aa 2 4, b aa c .
Daca a b c a cc ab, a a acaa ca a a EM, b a ba aac, a a b ca a cca.
P a cc acaa b aa bca a b ca a aa a aa a ac aac.
Trabajos futuros
A a aba a ac a c:
Aca a Cb a I 27002, TOGAF aa aac c ab.
R aa a a ac a a a a aca caa a. Raa a ac a c a c a b a a .
A a a cc c aa a aa aca
aca a a acc (aaa, a, , aa...).M a a ca c a: A a a a aa a aca D, aa aa a aac.
A ac aa aa cc c aa.
A a a cc ab b a a c c cca ba aac a a.
Raa a a a FAHP c a IAHP.
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Bibliografa
ASb AHab , 1999. Aca AHP c aa, Kaa M. ASb AHab, Iaa Ja Pc Maa 19 (2001) 19 27
Cb 4.1 a.
Cb: A CbT 4.1,ITIL V3 a ISO/IEC 27002 B B.
DY Ca., 1992, , ,.Y Ca. 1,W Scc, Sa, 1992, . 352.
DY Ca, 1996, Aca aa AHP, DaY Ca , 101149,
Ga Ra, 2011. A AHPBa Fa Sc K Maa T Sa Ia Pc, Mc Ga11 a P Ra, K a PcMaa V 18 Nb 1 4555 (2011)
Ha 2011. B aa IT a c CPA aa. SM Ha a,1, WH H b,2, Da C. Y c,, IC Ca a,3, D Ja
a,3 Dc S S 50 (2011) 692701L a. , 2010A F AHP aac aa cc b Y L*, YK, B Ka, F Iaa Cc Sa E Rac,Maa a Aca
Ma, 2003: D aac Hac. L Ma, ISAHP2003, Ba, Ia, A 79, 2003.
Ma, 2012. A aa caca, Ea Ma I Naca Aca, ca Ecca. 2012
R, 2009. Eaac a AHP a c a
a a. A R S .T ca 2009.Saa, 1980.T.L., , McGaH, N Y, 1980.
Taa, 2009. Ra Ba Bac Ia Daa b IAHP. T. Ra Taa. I. Ja Ma. Aa, V. 3, 2009, . 20, 971 983
Wa 2011. Eaa Ia Tc Sc Maa Pc AHP JaWa1,2, H Za1, Da Wa1. , 2011, 2, 3846
Xa a., 2012. Eaa Ua Acc Waa Oaa Ec Sac SBa IAHP
Za, 1965. F S Ia a c, 8, 338 353
Z Xa, Xa Za, Wa Fa, L X. . , , 116018, . Ja Ia & CaaScc 9: 1 (2012) 247255