Perhitungan Eigen Vektor / Bobot

Menghitung Eigen Vektor / Bobot

(Memilih Pacar)

Matriks

Kriteria                                                                      Alternatif   (Cantik)

                Cantik     Pandai      Kaya                                      A         B        C

Cantik         1              2              3                               A       1          5         3

Pandai        1/2            1             3/2                             B      1/5        1        3/5

Kaya          1/3           2/3            1                               C      1/3       1/5       1

Alternatif (Pandai)                                                     Alternatif (Kaya)

          A         B         C                                                         A         B         C

A       1          2          4                                                A       1          3          7

B      1/2        1          2                                                B      1/3         1         2

C      1/4      1/2         1                                                C      1/7       1/2        1

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KRITERIA

- Menghitung Eigen Value

Cantik  = (1 * 2 * 3) ^ (1/3)        = 1,817

Pandai  = ( 1/2 * 1 * 3/2) ^ (1/3) = 0,908

Kaya    = (1/3 * 2/3 * 1) ^ (1/3)  = 0,605 +

                                       Hasil        3,330

Mengitung Bobot 

Cantik  = 1,817 / 3,330  = 0,545

Pandai  = 0,908 / 3,330  = 0,272

Kaya    = 0.605 / 3.330  = 0,181  +

                                          0,998

ALTERNATIF

Cantik :

- Menghitung Eigen Value

A  = (1 * 5 * 3) ^ (1/3)        = 2,466

B  = ( 1/5 * 1 * 3/5) ^ (1/3) = 0,493

C  = (1/3 * 1/5 * 1) ^ (1/3)  = 0,405 +

                               Hasil        3,364

Mengitung Bobot 

A  = 2,466 / 3,364  = 0,733

B  = 0,493 / 3,364  = 0,146

C  = 0.405 / 3.364  = 0,120  +

                                  0,999

Pandai :

- Menghitung Eigen Value

A  = (1 * 2 * 4) ^ (1/3)        = 2

B  = ( 1/2 * 1 * 2) ^ (1/3)    = 1

C  = (1/4 * 1/2 * 1) ^ (1/3)  = 0,5 +

                               Hasil        3,5

Mengitung Bobot 

A  = 2 / 3,5     = 0,571

B  = 1 / 3,5     = 0,285

C  = 0,5 / 3,5  = 0,142  +

                          0,998

 Kaya :

- Menghitung Eigen Value

A  = (1 * 3 * 7) ^ (1/3)        = 2,758

B  = ( 1/3 * 1 * 2) ^ (1/3)    = 0,873

C  = (1/7 * 1/2 * 1) ^ (1/3)  = 0,419 +

                               Hasil        4,050

Mengitung Bobot 

A  = 2,758 / 4,050  = 0,680

B  = 0,873 / 4,050  = 0,215

C  = 0,419 / 4,050  = 0,103  +

                                  0,998

Nb : kesimpulan perhitungan diatas menunjukkan bahwa hasilnya KONSISTEN

By: Muhammad Jamil (0907112846)