Ahp (analytic Hierarchy Process)

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H irarki

1 (Tujuan

)

Hirarki

2 (kriteria

)

Hirarki

3 (Alternatif

M encariPasangan Hidup

)

• • • •

KRITERIA

Penam pilanFisik W ajah

Agam a

D ian Sastrowardoyo M arianaranata RevalinaS Tem at LunaM aya

• .

• • •

Dian Sastrowardoyo M arianaranata RevalinaS Tem at LunaM aya

/

.

.

M encariPasangan Hidup

Penam pilanFisik W ajah

• • • •

Dian Sastrowardoyo M arianaranata RevalinaS Tem at LunaM aya

/

K eluarga

• .

• • •

D ian Sastrowardoyo M arianaranata RevalinaS Tem at LunaM aya

K ekayaan

• .

• • •

Dian Sastrowardoyo M arianaranata RevalinaS Tem at LunaM aya

.

Step 1 (Docomposition) Step 2 (Comparison judgments) Agama Penampilan Agama 1/1 3/1 Penampilan 1/3 1/1 Keluarga 1/6 1/2 Kekayaan 1/4 3/2 matriks pairwise comparison Agama Penampilan Agama 1 3 Penampilan 0.333 1 Keluarga 0.167 0.5 Kekayaan 0.25 1.5 1.75 6 Menentukan Eigenvector Agama Penampilan Agama 4 15 Penampilan 1.167 4 Keluarga 0.583 2 Kekayaan 1.5 5.25

Keluarga 6/1 2/1 1/1 3/1

Kekayaan 4/1 2/3 1/3 1/1

Keluarga

Kekayaan 6 2 1 3 12

Keluarga

4 0.667 0.333 1 6 Kekayaan

30 8 4 10.5

12 3.333 = 1.667 4

Penampilan 243 67 33.5 85.5

Keluarga 486 134 67 171

Kekayaan 196 54 = 27 69

Agama Penampilan Keluarga Kekayaan

Agama Penampilan 18748 66087 5166.5 18212 2583.25 9106 6595.5 23249.25

Keluarga 132174 36424 18212 46498.5

Kekayaan 53292 14686 = 7343 18748

Agama Penampilan Keluarga Kekayaan

Agama Penampilan 1.39E+09 4.89E+09 3.82E+08 1.35E+09 1.91E+08 6.73E+08 4.88E+08 1.72E+09

Keluarga 9.77E+09 2.69E+09 1.35E+09 3.44E+09

Kekayaan 3.94E+09 1.09E+09 = 5.43E+08 1.39E+09

Agama Penampilan Keluarga Kekayaan

Agama Penampilan 7.57E+18 2.67E+19 2.09E+18 7.36E+18 1.04E+18 3.68E+18 2.66E+18 9.39E+18

Keluarga 5.34E+19 1.47E+19 7.36E+18 1.88E+19

Kekayaan 2.15E+19 5.93E+18 = 2.97E+18 7.57E+18

Keluarga

Kekayaan

Agama Agama Penampilan Keluarga Kekayaan

69 19 9.5 24.25

Step 3 (Logical Consistency) Agama Penampilan Agama 1 3 Penampilan 0.333 1

6 2

4 0.667 *

total 61 16.5 8.25 21.25 107 total 994 274 137 349.75 1754.75 total 270301 74488.5 37244.25 95091.25 477125 total 2.00E+10 5.51E+09 2.75E+09 7.03E+09 3.53E+10 total 1.09E+20 3.01E+19 1.50E+19 3.84E+19 1.93E+20 Eigenvector 0.5665 0.1561 =

Eigenvector 0.5701 0.1542 0.0771 0.1986 1 Eigenvector 0.5665 0.1561 0.0781 0.1993 1 Eigenvector 0.5665 0.1561 0.0781 0.1993 1 Eigenvector 0.5665 0.1561 0.0781 0.1993 1 Eigenvector 0.5665 0.1561 0.0781 0.1993 1 Aw 2.3004 0.6339

Keluarga Kekayaan

0.167 0.25

Note: n

0.5 1.5

Local Priority ordo matriks

1 3

0.333 1

0.0781 0.1993

λmax n CRI CI CR

0.3170 0.8093

e-rel

0.01 0.01 0.01 0

0 0 0 0.000078489

0.000000025 0.000000037 0.000000037 0.000000028

0.000000000 0.000000000 0.000000000 0.000000000

Eigen value 4.061 4.061

4.061 4.061 4.061 4 0.9 0.0202 0.0225 2% ok

Comparison judgments AGAMA Dian Dian 1/1 Mariana 1/5 Revalina 1/3 Luna 1/4

Mariana 5/1 1/1 2/1 2/1

Matriks Pairwise comparation AGAMA Dian Mariana Dian 1 Mariana 0.2 Revalina 0.333 Luna 0.25 Menentukan Eigenvector AGAMA Dian Dian 4 Mariana 0.692 Revalina 1.567 Luna 1.067

Revalina 3/1 1/2 1/1 1/2

Luna 4/1 1/2 2/1 1/1

Revalina

Luna

5 1 2 2

3 0.5 1 0.5

Revalina 10.5 1.85 4 2.75

Luna

24 4 9.667 6.25

Mariana

4 0.5 2 1

total

16.5 2.8 = 6.3333 4

AGAMA Dian Mariana Revalina Luna

Dian 66.65 11.418 25.98 17.165

Mariana 396.63 67.983 154.517 102.183

Revalina 173.78 29.763 67.75 44.763

Luna 265.7 45.529 = 103.583 68.517

AGAMA Dian Mariana Revalina Luna

Dian 18045.454 3091.858 7033.328 4649.549

Mariana 107400.191 18401.654 41859.887 27672.480

Revalina 47053.308 8061.984 18339.319 12123.644

Luna 71971.983 12331.481 = 28051.528 18544.134

AGAMA Dian Dian ### Mariana 226727694.56 Revalina 515757823.82 Luna 340954025.53

Mariana Revalina Luna ### ### ### ### 591189775.03 904274442.57 = ### ### ### ### 889033578.52 ###

AGAMA Dian Mariana Revalina Luna

Mariana 4.24E+19 7.26E+18 1.65E+19 1.09E+19

Revalina 1.86E+19 3.18E+18 7.23E+18 4.78E+18

Luna 2.84E+19 4.86E+18 = 1.11E+19 7.31E+18

Mariana

Revalina

Luna

Dian 7.12E+18 1.22E+18 2.77E+18 1.83E+18

Logical Consistency AGAMA Dian Dian 1 Mariana 0.2 Revalina 0.333 Luna 0.25

5 1 2 2

3 0.5 1 0.5

4 0.5 * 2 1

55 9.342 21.567 14.067 99.98 total 902.75 154.693 351.83 232.627 1641.9 total 244470.936 41886.978 95284.062 62989.807 444631.78 total ### ### ### ### ### total 9.64E+19 1.65E+19 3.76E+19 2.48E+19 1.75E+20 Eigenvector 0.5498 0.0942 = 0.2143 0.1417

Eigenvector 0.5501 0.0934 0.2157 0.1407 1 Eigenvector 0.5498 0.0942 0.2143 0.1417 1 Eigenvector 0.5498 0.0942 0.2143 0.1417 1 Eigenvector 0.5498 0.0942 0.2143 0.1417 1 Eigenvector 0.5498 0.0942 0.2143 0.1417 1 Aw 2.2304 0.3822 0.8693 0.5747

λmax n CRI CI CR

Comparison judgments PENAMPILAN Dian Dian 1/1 Mariana 1/1 Revalina 1/3 Luna 1/3

Mariana 1/1 1/1 1/3 1/3

Revalina 3/1 3/1 1/1 1/1

Luna 3/1 3/1 1/1 1/1

Matriks Pairwise comparation PENAMPILAN Dian Mariana Dian 1 1 Mariana 1 1 Revalina 0.333 0.33 Luna 0.333 0.33

Revalina 3 3 1 1

Luna 3 3 1 1

Menentukan Eigenvector PENAMPILAN Dian Mariana Revalina Dian 4 4 12 Mariana 4 4 12 Revalina 1.333 1.333 4 Luna 1.333 1.333 4

e - rel

0 0.01 0.01 0.01

0.000010882 0.000109563 0.000088777 0.000103637

0.000000003 0.000000019 0.000000016 0.000000023

0.000000000 0.000000000 0.000000000 0.000000000

Eigen Value 4.057 4.057 4.057 4.057

PENAMPILAN Dian Mariana Revalina Luna

Dian 64 64 21.333 21.333

Logical Consistency PENAMPILAN Dian Dian 1 Mariana 1 Revalina 0.333 Luna 0.333

Luna

total 12 12 = 4 4

Mariana Revalina 64 192 64 192 21.333 64 21.333 64

Luna 192 192 = 64 64

Mariana 1 1 0.33 0.33

Luna 3 3 1 1

Revalina 3 3 1 1

32 32 10.667 10.667 85.333 total 512 512 170.667 170.667 1365.333

Eigenvector 0.3750 * 0.3750 = 0.1250 0.1250

Eigenvector 0.3750 0.3750 0.1250 0.1250 1 Eigenvector 0.3750 0.3750 0.1250 0.1250 1 Aw

λmax n CRI CI CR

1.5 1.5 0.5 0.5

4.057 4 0.9 0.0189 0.0210 2% ok

Comparison judgments KELUARGA Dian Dian 1/1 Mariana 4/1 Revalina 1/1 Luna 2/1

Mariana 1/4 1/1 1/5 1/2

Revalina 1/1 5/1 1/1 3/1

Luna 1/2 2/1 1/3 1/1

Matriks Pairwise comparation KELUARGA Dian Dian 1 Mariana 4 Revalina 1 Luna 2

Mariana 0.25 1 0.20 0.50

Revalina 1 5 1 3

Luna 0.5 2 0.333 1

Mariana

Revalina 4.75 20 4 10.5

Luna

0.95 4 0.817 2.1 Mariana 15.329 64.583 13.117 33.93

Revalina 76.25 321.25 65.25 168.75

Luna 29.392 123.833 = 25.15 65.05

KELUARGA Dian Mariana Eigen Value Dian 16929.217 3985.451 4.0000 Mariana 71324.396 16791.083 4.0000 Revalina 14486.050 3410.284 4.0000 Luna 37465.963 8820.181 4.0000 4.0000 KELUARGA Dian Mariana 4 Dian 1144347328.701 269400548.476 0.9 Mariana 4821243858.634 1135010068.424 0.0000 Revalina 979199035.451 230521582.566 0.0000 Luna 2532549201.232 596208971.473 0% ok KELUARGA Dian Mariana Dian 5.23E+18 1.23E+18 Mariana 2.20E+19 5.19E+18 Revalina 4.47E+18 1.05E+18 Luna 1.16E+19 2.72E+18

Revalina 19824.8 83523.75 16963.75 43874.16

Luna 7641.765 32195.479 = 6538.931 16911.95

e - rel

0.0000000000 0.0000000000 0.0000000000 0.0000000000

Menentukan Eigenvector KELUARGA Dian Dian 4 Mariana 17 Revalina 3.467 Luna 9 KELUARGA Dian Mariana Revalina Luna

Dian 65.117 274.333 55.717 144.1

Logical Consistency KELUARGA Dian Dian 1 Mariana 4 Revalina 1 Luna 2

Mariana 0.25 1 0.20 0.50

1.833 7.667 = 1.567 4

Revalina Luna ### 516552718.685 ### 2176285608.536 = ### 442005596.736 ### 1143180171.17 Revalina 6.12E+18 2.58E+19 5.24E+18 1.36E+19

Luna 2.36E+18 9.94E+18 = 2.02E+18 5.22E+18

Revalina 1 5 1 3

Luna 0.5 2 0.333 1

*

total 11.533 48.667 9.85 25.6 95.65 total 186.088 784.000 159.233 411.83 1541.146 total 48381.229 203834.708 41399.016 107072.25 400687.203 total 3270377565.315 13778410939.349 2798407858.523 7237655808.72 27084852171.906 total 1.49E+19 6.30E+19 1.28E+19 3.31E+19 1.24E+20 Eigenvector 0.1207 0.5087 = 0.1033 0.2672

Eigenvector 0.1206 0.5088 0.1030 0.2676 1 Eigenvector 0.1207 0.5087 0.1033 0.2672 1 Eigenvector 0.1207 0.5087 0.1033 0.2672 1 Eigenvector 0.1207 0.5087 0.1033 0.2672 1 Eigenvector 0.1207 0.5087 0.1033 0.2672 1

e - rel

Comparison judgments KEKAYAAN Dian Dian 1/1 Mariana 2/1 Revalina 3/1 Luna 4/1

Mariana 1/2 1/1 3/1 4/1

Matriks Pairwise comparation KEKAYAAN Dian Dian 1 Mariana 2 Revalina 3 Luna 4

Mariana 0.5 1 3 4

Menentukan Eigenvector KEKAYAAN Dian Dian Mariana Revalina Luna

Mariana 4 6 14 22

3 4 9.5 16

0.0013907956 0.0001710685 0.0033189015 0.0015783732

KEKAYAAN Dian Mariana Revalina Luna

Dian 70.083 99.333 224 365.333

Mariana 49.333 70.083 158 257.333

0.0000046963 0.0000007773 0.0000131427 0.0000057239

KEKAYAAN Dian Mariana Revalina Luna

Dian 19425.896 27562.333 62198.222 101370.222

Mariana 13691.333 19425.896 43837.222 71445.556

0.0000000000 0.0000000000 0.0000000002 0.0000000001

KEKAYAAN Dian Mariana Revalina Luna

Dian 1495361813.664 2121687300.596 4787882711.099 7803255285.837

Mariana 1053928612.919 1495361813.664 3374492071.696 5499721836.217

0.0000000000 0.0000000000 0.0000000000 0.0000000000

KEKAYAAN Dian Mariana Revalina Luna

Dian 8.86E+18 1.26E+19 2.84E+19 4.62E+19

Mariana 6.25E+18 8.86E+18 2.00E+19 3.26E+19

Aw Eigen Value 0.4849 4.016 2.0427 4.016 0.4149 4.016 1.0730 4.016

Logical Consistency KEKAYAAN Dian Dian 1 Mariana 2 Revalina 3 Luna 4

Mariana 0.5 1 3 4

λmax n CRI CI CR

4.016 4 0.9 0.0052 0.0057 1% ok

Revalina 1/3 1/3 1/1 2/1

Luna 1/4 1/4 1/2 1/1

Revalina 0.333 0.333 1 2

Luna 0.25 0.25 0.5 1

Revalina 1.333 1.833 4 6.667

Luna

Revalina 21.444 30.444 68.75 112

Luna 13.167 18.667 = 42.167 68.75

Revalina 5953.796 8447.519 19063.01 31068.74

Luna 3653.102 5183.185 = 11696.583 19063.007

total 0.792 1.167 = 2.5 4

Revalina Luna 458310153.018 281207672.641 650271273.820 398990225.925 = 1467427640.53 900376980.183 2391602548.23 1467427640.525 Revalina 2.72E+18 3.85E+18 8.70E+18 1.42E+19

Luna 1.67E+18 2.36E+18 = 5.34E+18 8.70E+18

Revalina 0.333 0.333 1 2

Luna 0.25 0.25 0.5 1

*

9.125 13 30 48.667 100.792 total 154.028 219 492.917 803.417 1668.889 total 42724.127 60619 136795.035 222947.525 463085.620 total 3288808252.242 4666310614 10530179403.503 17162007310.814 35647305580.565 total 1.95E+19 2.77E+19 6.24E+19 1.02E+20 2.11E+20 Eigenvector 0.0923 0.1309 = 0.2954 0.4814

Eigenvector 0.0905 0.1290 0.2976 0.4828 1 Eigenvector 0.0923 0.1309 0.2954 0.4814 1 Eigenvector 0.0923 0.1309 0.2954 0.4814 1 Eigenvector 0.0923 0.1309 0.2954 0.4814 1 Eigenvector 0.0923 0.1309 0.2954 0.4814 1 Aw 0.3765 0.5342 1.2056 1.9649

e - rel

0.0194440138 0.0152207847 0.0076852391 0.0029741025

0.0003677048 0.0003044359 0.0001449783 0.0000643529

0.0000001394 0.0000001289 0.0000000527 0.0000000294

0.0000000000 0.0000000000 0.0000000000 0.0000000000

Eigen Value 4.081 4.081 4.081 4.081

λmax n CRI CI CR

4.081 4 0.9 0.0271 0.0301 3% ok

Local priority Dian mariana Revalina Luna

Agama Penampilan Keluarga Kekayaan 0.5498 0.3750 0.1207 0.0923 0.0942 0.3750 0.5087 0.1309 0.2143 0.1250 0.1033 0.2954 0.1417 0.1250 0.2672 0.4814

Local priority Dian Mariana Revalina Luna

Agama Penampilan 0.5665 0.1561 0.3115 0.0585 0.0534 0.0585 0.1214 0.0195 0.0803 0.0195

Agama 0.5665

0.4000

• • • •

0.3000 0.2000 0.1000 0.0000 Dian Column I

Mariana Column J

Revalina Column K

Luna Column L

Dian Sastrowardoyo (0.549) Mariana ranata (0.094) Revalina S . Temat (0.214) Luna Maya (0.142)

Pe

• • • •

Keluarga Kekayaan Global 0.0781 0.1993 Priority 0.0094 0.0184 0.3978 0.0397 0.0261 0.1777 0.0081 0.0589 0.2079 0.0209 0.0960 0.2166

Mencari Pasangan Hidup

Agama 0.5665

Dian Sastrowardoyo (0.549) Mariana ranata (0.094) Revalina S . Temat (0.214) Luna Maya (0.142)

Penampilan Fisik /Wajah 0.1561

• • • •

Dian Sastrowardoyo (0.375) Mariana ranata (0.375) Revalina S . Temat (0.125) Luna Maya (0.125)

Keluarga 0.0781

• • • •

Dian Sastrowardoyo (0.121) Mariana ranata (0.509) Revalina S . Temat (0.103) Luna Maya (0.267)

Kekayaan 0.1993

• • • •

Dian Sastrowardoyo (0.092) Mariana ranata (0.131) Revalina S . Temat (0.295) Luna Maya (0.481)

n

oyo (0.092) 0.131) at (0.295) 81)

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