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Saturday 15 November 2014

Sistem Pendukung Kepututsan Menggunakan Metode SAW (Simple Additive Weighting)


No
Nama
C1
C2
C3
C4
1
Joko
3
3
3
2
2
Widodo
3
3
2
2
3
Simamora
4
4
1
1
4
Susilawati
1
4
2
1
5
Dian
2
3
4
2
6
Roma
2
2
4
2
7
Hendro
3
2
3
2

W=[3,4,5,4]











Matrik
3        3        3        2
3        3        2        2
4        4        1        1
          X=         1        4        2        1
                        2        3        4        2
                        2        2        4        2
                        3        2        3        2

Identik dengan


 


r11    r12    r13    r14
r21    r22    r23    r24
r31    r32    r33    r34
          X=     r41    r42    r43    r44
                   r51    r52    r53    r54
                   r61    r62    r63    r64
                   r71    r72    r73    r74

Untuk C1
r11    =                3                            =    3    = 0.75
             Max [ 3 ; 3; 4; 1; 2; 2; 3 ]             4
r21    =                3                            =    3     = 0.75
             Max [ 3 ; 3; 4; 1; 2; 2; 3 ]             4
r31    =                4                            =    4     = 1
             Max [ 3 ; 3; 4; 1; 2; 2; 3 ]             4
r41    =                1                            =    1     = 0.25
             Max [ 3 ; 3; 4; 1; 2; 2; 3 ]             4
r51    =                2                            =    2     = 0.5
             Max [ 3 ; 3; 4; 1; 2; 2; 3 ]             4
r61    =                2                            =    2     = 0.5
             Max [ 3 ; 3; 4; 1; 2; 2; 3 ]             4
r71    =                3                            =    3     = 0.75
             Max [ 3 ; 3; 4; 1; 2; 2; 3 ]             4

Untuk C2
r12    =                3                            =        3    = 0.75
             Max [ 3 ; 3; 4; 4; 3; 2; 2 ]             4
r22    =                3                            =        3     = 0.75
             Max [ 3 ; 3; 4; 4; 3; 2; 2 ]             4
r32    =                4                            =        4     = 1
             Max [ 3 ; 3; 4; 4; 3; 2; 2 ]             4
r42    =                4                            =        4     = 1
             Max [ 3 ; 3; 4; 4; 3; 2; 2 ]             4
r52    =                3                            =        3     = 0.75
             Max [ 3 ; 3; 4; 4; 3; 2; 2 ]             4
r62    =                2                            =        2     = 0.5
             Max [ 3 ; 3; 4; 4; 3; 2; 2 ]             4
r72    =                2                            =        2     = 0.5
             Max [ 3 ; 3; 4; 4; 3; 2; 2 ]             4







Untuk C3
r13    =                3                            =        3    = 3
             Min [ 3 ; 2; 1; 2; 4; 4; 3]               1
r23    =                2                            =        2     = 2
             Min [ 3 ; 2; 1; 2; 4; 4; 3]               1
r33    =                1                            =        1     = 1
             Min [ 3 ; 2; 1; 2; 4; 4; 3]               1
r43    =                2                            =        2     = 2
             Min [ 3 ; 2; 1; 2; 4; 4; 3]               1
r53    =                4                            =        4     = 4
             Min [ 3 ; 2; 1; 2; 4; 4; 3]               1
r63    =                4                            =        4     = 4
             Min [ 3 ; 2; 1; 2; 4; 4; 3]               1

r73    =                3                            =        3     = 3
             Min [ 3 ; 2; 1; 2; 4; 4; 3]               1














Untuk C4
r14    =                2                            =        2    = 1
             Max [ 2 ; 2; 1; 1; 2; 2; 2 ]             2
r24    =                2                            =        2     = 1
             Max [ 2 ; 2; 1; 1; 2; 2; 2 ]            2
r34    =                1                            =        1     = 0.5
             Max [ 2 ; 2; 1; 1; 2; 2; 2 ]             2
r44    =                1                            =        1     = 0.5
             Max [ 2 ; 2; 1; 1; 2; 2; 2 ]             2
r54    =                2                            =        2     = 1
             Max [ 2 ; 2; 1; 1; 2; 2; 2 ]             2
r64    =                2                            =        2     = 1
             Max [ 2 ; 2; 1; 1; 2; 2; 2 ]             2
r74    =                2                            =        2     = 1
             Max [ 2 ; 2; 1; 1; 2; 2; 2 ]             2







Sehingga matrik x yaitu =
0.75   0.75   3        1
0.75   0.75   2        1
1        1        1        0.5
          X=         0.25   1        2        0.5
                        0.5     0.75   4        1
                        0.5     0.5     4        1
                        0.75   0.5     3        1





Untuk proses perangkingan menggunakan rumus preferensi
V1 = 3 (0.75) + 4 (0.75) + 5 (3) + 4 (1)       = 24.25
V2 = 3 (0.75) + 4 (0.75) + 5 (2) + 4 (1)       = 19.25
V3 = 3 (1) + 4 (1) + 5 (1) + 4 (0.5)              = 14
V4 = 3 (0.25) + 4 (1) + 5 (2) + 4 (0.5)         = 16.75
V5 = 3 (0.5) + 4 (0.75) + 5 (4) + 4 (1)         = 28.5
V6 = 3 (0.5) + 4 (0.5) + 5 (4) + 4 (1)           = 27.5
V7 = 3 (0.75) + 4 (0.5) + 5 (3) + 4 (1)         = 23.25

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