Quis Metode TOPSIS





Alternatif
Kriteria
C1
C2
C3
C4
Aldyan
2
2
3
1
Hendro
3
4
1
2
Joko
2
5
1
2
 Doni
2
3
2
2
Dono
3
4
4
2
Kasino
2
3
2
2
Susanto
1
5
5
1


Bobot  W : [4  5  4  3]

1)                  X1= 5,91608                                                     X2= 7,681146

R11= 0,338062                                                               R12= 0,130189
R21= 0,507093                                                               R22= 0,390567
R31= 0,338062                                                               R32= 0,520756
R41= 0,338062                                                               R42= 0,260378
R51= 0,507093                                                               R52= 0,390567
R61= 0,338062                                                               R62= 0,260378
R71= 0,169031                                                               R72= 0,520756

X3= 7,745967                                                                 X4= 4,690416

R13= 0,387298                                                               R14= 0,213201
R23= 0,129099                                                               R24= 0,426401
R33= 0,129099                                                               R34= 0,426401
R43= 0,258199                                                               R44= 0,426401
R53= 0,516398                                                               R54= 0,426401
R63= 0,258199                                                               R64= 0,426401
R73= 0,645497                                                               R74= 0,213201

               0,338062                   0,130189                  0,387298                   0,213201
               0,507093                   0,390567                  0,129099                   0,426401
               0,338062                   0,520756                  0,129099                   0,426401
Matrik R                 0,338062                   0,260378                  0,258199                   0,426401
               0,507093                   0,390567                  0,516398                   0,426401
               0,338062                   0,260378                  0,258199                   0,426401
               0,169031                   0,520756                  0,645497                   0,213201

2).                   Y11= 1,352247                        Y12= 0,650945                  Y13= 1,549193                  Y14= 0,639602
                        Y21= 2,02837                           Y22= 1,952834                  Y23= 0,516398                  Y24= 1,279204
         Y31= 1,352247                        Y32= 2,603778                  Y33= 0,516398                  Y34= 1,279204
         Y41= 1,352247                        Y42= 1,301889                  Y43= 1,032796                 Y44= 1,279204
         Y51= 2,02837                           Y52= 1,952834                  Y53= 2,065591                  Y54= 1,279204
                        Y61= 1,352247                        Y62= 1,301889                  Y63= 1,032796                  Y64= 1,279204
                        Y71= 0,676123                        Y72= 2,603778                  Y73= 2,581989                  Y74= 0,639602






1,352247          0,650945                1,549193             0,639602
2,02837            1,952834                0,516398             1,279204
1,352247          2,603778                0,516398             1,279204
MatrMatriks Y=   1,352247          1,301889                1,032796             1,279204
2,02837            1,952834                2,065591             1,279204
1,352247          1,301889                1,032796             1,279204
0,676123          2,603778                2,581989             0,639602

3).          Y1+ = 2,02837                       
               Y2+ = 0,650945
               Y3+ = 0,516398  
               Y4+ = 1,279204
               A+ = [ 2,02837; 0,650945; 0,516398; 1,279204 ]   

               Y1- = 0,676123
               Y2- = 2,603778
               Y3- = 2,581989
               Y4- = 0,639602
               A- = [ 0,676123; 2,603778; 2,581989; 0,639602 ]

4).          D1+ = 1,390288                                              D1- = 2,310275
               D2+ = 1,301889                                              D2- = 2,63212
               D3+ = 2,066568                                              D3- = 2,26591
               D4+ = 1,071232                                              D4- = 2,227364
               D5+ = 2,02359                                                D5- = 1,711157
               D6+ = 1,071232                                              D6- = 2,227364
               D7+ = 3,212147                                              D7- = 0
5).          Vi = Di- / Di- + Di+
               V1= 2,310275 / (2,310275 + 1,390288) = 0,624304
               V2= 2,63212 / (2,63212 + 1,301889) = 0,669068
               V3= 2,26591 / (2,26591 + 2,066568) = 0,52297
               V4= 2,227364 / (2,227364 + 1,071232) = 0,675246
               V5= 1,711157 / (1,711157 + 2,02359) = 0,458172
               V6= 2,227364 / (2,227364 + 1,071232) = 0,675246
               V7= 0

Jadi dapat di simpulkan bahwa dari kasus di atas dengan perhitunggan metode TOPSIS bahwa yang mendapatkan bantuan langsung tunai dari pemerintah karena memiliki nilai terbaik adalah V4 (DONI) dan V6 (KASINO).

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