NAMA : RANNI SIMANJUNTAK
NPM :1111502
KELAS : TI-P1106
QUIS SPK
Hasil Pembobotan
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
Penyelesaian :
X1 =¬ akar dari ( 3^2+3^2+4^2+1^2+2^2+2^2+3^2) = 7,2111
r11 = 3/7,2111=0,4160
r21 = 3/7,2111 =0,4160
r31 = 4/7,2111 =0,5547
r41 = 1/7,2111 =0,1387
r51 = 2/7,2111=0,2774
r61 = 2/7,2111= 0,2774
r71 = 3/7,2111=0,4160
X2 = akar dari (3^2+3^2+4^2+4^2+3^2+2^2+2^2) = 8,1854
r12 = 3/8,1854=0,3665
r22 = 3/8,1854=0,3665
r32 =4/8,1854=0,4887
r42 =4/8,1854= 0,4887
r52 =3/8,1854= 0,3665
r62 = 2/8,1854= 0,2443
r72 = 2/8,1854= 0,2443
X3 = akar dari (3^2+2^2+1^2+2^2+4^2+4^2+3^2)=7,6811
r13 = 3/7,6811=0,3906
r23 =2/7,6811= 0,2604
r33 = 1/7,6811=0,1302
r43 =2/7,6811=0,2604
r53 =4/7,6811=0,5208
r63 =4/7,6811=0,5208
r73 = 3/7,6811=0,3906
X4 = akar dari(2^2+2^2+1^2+1^2+2^2+2^2+2^2) = 4,6904
r14 = 2/4,6904 =0,4264
r24 = 2/4,6904 = 0,4264
r34 = 1/4,6904 = 0,2132
r44 = 1/4,6904 = 0,2132
r54 = 2/4,6904 = 0,4264
r64 = 2/4,6904 = 0,4264
r74 = 2/4,6904 =0,4264
r =[█(0,4160 0,3665 0,3906 0,4206
0,4160 0,3665 0,2604 0,4206
0,5547 0,4887 0,1302 0,2132
0,1387 0,4887 0,2604 0,2132
0,2774 0,3665 0,5208 0,4206
0,2774 0,2443 0,5208 0,4206
0,4160 0,2443 0,3906 0,4206)]
yij =Wirij
y11 =3(0,4160) =1,2480
y21 =3(0,4160) =1,2480
y31 =3(0,5547) =1,6641
y41 =3(0,1387) =0,4161
y51 =3(0,2774) =1,8322
y61 =3(0,2774) =1,8322
y71 =3(0,4160) =1,2480
y12 =4(0,3665) =1,4660
y22 =4(0,3665) =1,4660
y32 =4(0,4887) =1,9548
y42 =4(0,4887) =1,9548
y52 =4(0,3665) =1,4660
y62 =4(0,2443) =0,9772
y72 =4(0,2443) =0,9772
y13 =5(0,3906) =1,9530
y23 =5(0,2604) =1,3020
y33 =5(0,1302) =1,6510
y43 =5(0,2604) =1,3020
y53 =5(0,5208) =2,6040
y63 =5(0,5208) =2,6040
y73 =5(0,3906) =1,9530
y14 =4(0,4264) = 1,7056
y34 =4(0,2132) = 1,8528
y44 =4(0,2132) = 1,8528
y54 =4(0,4264) = 1,7056
y64 =4(0,4264) = 1,7056
y74 =4(0,4264) = 1,7056
y=[█(1,2480 1,4660 1,9530 1,7056
1,2480 1,4660 1,3020 1,7056
1,6641 1,9548 0,6510 0,8528
0,4161 1,9548 1,3020 0,8528
0,8322 1,4660 2,6040 1,7056
0,8322 0,9772 2,6040 1,7056
1,2480 0,9772 1,9530 1,7056)]
solusi ideal positif A+
y_1^+ = max{1,2480;1,2480;1,6641;0,4161;0,8322;0,8322;1,2480}=1,6641
y_2^+ = max{1,4660;1,4660;1,9548;1,9548;1,4660;0,9772;0,9772}=1,9548
y_3^+ = min{1,9530;1,3020;0,6510;1,3020;2,6040;2,6040;1,9530}=0,6510
y_4^+ = max {1,7056;1,7056;0,8528;0,8528;1,7056;0,7056;0,7056}= 1,7056
A+ ={1,6641;1,9548;0,6510;1,7056}
Solusi ideal negative A-
y_1^- = min{1,2480;1,2480;1,6641;0,4161;0,8322;0,8322;1,2480}=0,4161
y_2^- = min{1,4660;1,4660;1,9548;1,9548;1,4660;0,9772;0,9772}=0,9772
y_3^- = max{1,9530;1,3020;0,6510;1,3020;2,6040;2,6040;1,9530}=2,6040
y_4^- = min{1,7056;1,7056;0,8528;0,8528;1,7056;0,7056;0,7056}= 0,8528
= {0,4161;0,9772;2,6040;0,8528}
D_1^+=√(〖(1,2480-1,6641)〗^2+〖(1,4660-1,9548)〗^2+〖(1,9530-0,6510)〗^2+〖(1,7056-1,7056)〗^2 ) =1,4516
D_2^+=√(〖(1,2480-1,6641)〗^2+〖(1,4660-1,9548)〗^2+〖(1,3020-0,6510)〗^2+〖(1,7056-1,7056)〗^2 ) =0,9142
D_3^+=√(〖(1,6641-1,6641)〗^2+〖(1,9548-1,9548)〗^2+〖(0,6510-0,6510)〗^2+〖(0,8528-1,7056)〗^2 ) =0,8528
D_4^+=√(〖(0,4161-1,6641)〗^2+〖(1,9548-1,9548)〗^2+〖(1,3020-0,6510)〗^2+〖(0,8528-1,7056)〗^2 ) =1,6458
D_5^+=√(〖(0,8322-1,6641)〗^2+〖(1,4660-1,9548)〗^2+〖(2,6040-0,6510)〗^2+〖(1,7056-1,7056)〗^2 ) =2,1783
D_6^+=√(〖(0,8322-1,6641)〗^2+〖(0,9772-1,9548)〗^2+〖(2,6040-0,6510)〗^2+〖(1,7056-1,7056)〗^2 ) =2,3371
D_7^+=√(〖(1,2480-1,6641)〗^2+〖(0,9772-1,9548)〗^2+〖(1,9530-0,6510)〗^2+〖(1,7056-1,7056)〗^2 ) =1,6805
D_1^-=√(〖(1,2480-0,4161)〗^2+〖(1,4660-0,9772)〗^2+〖(1,9530-2,6040)〗^2+〖(1,7056-0,8528)〗^2 ) =1,4429
D_2^-=√(〖(1,2480-0,4161)〗^2+〖(1,4660-0,9772)〗^2+〖(1,3020-2,6040)〗^2+〖(1,7056-0,8528)〗^2 ) =1,8313
D_3^-=√(〖(1,6641-0,4161)〗^2+〖(1,9548-0,9772)〗^2+〖(0,6510-2,6040)〗^2+〖(0,8528-0,8528)〗^2 ) =2,5154
D_4^-=√(〖(0,4161-0,4161)〗^2+〖(1,9548-0,9772)〗^2+〖(1,3020-2,6040)〗^2+〖(0,8528-0,8528)〗^2 ) =1,6282
D_5^-=√(〖(0,8322-0,4161)〗^2+〖(1,4660-0,9772)〗^2+〖(2,6040-2,6040)〗^2+〖(1,7056-0,8528)〗^2 ) =1,0674
D_6^-=√(〖(0,8322-0,4161)〗^2+〖(0,9772-0,9772)〗^2+〖(2,6040-2,6040)〗^2+〖(1,7056-0,8528)〗^2 ) =0,9489
D_7^-=√(〖(1,2480-0,4161)〗^2+〖(0,9772-0,9772)〗^2+〖(1,9530-2,6040)〗^2+〖(1,7056-0,8528)〗^2 ) =1,3576
Nilai Preferensi
V1 =1,4429/(1,4429+1,4516) = 0,4985
V2 =1,8313/(1,8313+0,9142) = 0,6670
V3 =2,5154/(2,5154+0,8528) = 0,7468
V4 =1,6282/(1,6282+1,6458) = 0,4973
V5 =1,0674/(1,0674+2,1783) = 0,3289
V6 =0,9489/(0,9489+2,3371) = 0,2888
V7 =1,3576/(1,3576+1,6805) = 0,4469
Nilai Vi yang lebih besar menunjukkan bahwa alternative Ai Lebih dipilih.
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