Selesaikan kasus berikut ini
menggunakan metode TOPSIS dengan bobot W=[4,5,4,3] :
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Nama KK
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C1
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C2
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C3
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C4
|
|
ALDYAN
|
2
|
2
|
3
|
1
|
|
HENDRO
|
3
|
4
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1
|
2
|
|
JOKO
|
2
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5
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1
|
2
|
|
DONI
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2
|
3
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2
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2
|
|
DONO
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3
|
4
|
4
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2
|
|
KASINO
|
2
|
3
|
2
|
2
|
|
SUSANTO
|
1
|
5
|
5
|
1
|
1.
X1= √2²+3²+2²+2²+3²+2²+1² = 5,9160
R11=2/5,9160=0,3380
R12=3/5,9160=0,5070
R13=2/5,9160=0,3380
R14=2/5,9160=0,3380
R15=3/5,9160=0,5070
R16=2/5,9160=0,3380
R17=1/5,9160=0,1690
2.
X2=√2²+4²+5²+3²+4²+3²+5² = 10,1980
R12=2/10,1980=0,1961
R22=4/10,1980=0,3922
R32=5/10.1980=0,4902
R42=3/10,1980=0,2941
R52=4/10,1980=0,3922
R62=3/10,1980=0,2941
R72=5/10.1980=0,4902
3.
X3=√3²+1²+1²+2²+4²+2²+5² = 7,7459
R13=3/7,7459=0,3837
R23=1/7,7459=0,1291
R33=1/7,7459=0,1291
R43=2/7,7459=0,2582
R53=4/7,7459=0,5164
R63=2/7,7459=0,2582
R73=5/7,7459=0,6455
4.
X4=√1²+2²+2²+2²+2²+2²+1² =4, 6904
R14=1/4,6904=0,2132
R24=2/4,6904=0,4264
R34=2/4,6904=0,4264
R44=2/4,6904=0,4264
R54=2/4,6904=0,4264
564=2/4,6904=0,4264
R74=1/4,6904=0,2132
Matrik R
0,3380 0,1961 0,3837 0,2132
0,5070 0,3922 0,1291 0,4264
0,3380 0,4902 0,1291 0,4264
0,3380 0,2941 0,2582 0,4264
0,5070 0,3922 0,5164 0,4264
0,3380 0,2941 0,2582 0,4264
0,1690 0,4902 0,6455 0,2132
Y11=w1r11=4*0,3380=1,352
Y21=w1r21=4*0,5070=2,028
Y31=w1r31=4*0,3380=1,352
Y41=w1r41=4*0,3380=1,352
Y51=w1r51=4*0,5070=2,028
Y61=w1r61=4*0,3380=1,352
Y71=w1r71=4*0,1690=0,676
Y12=w2r12=5*0,1961=0.9805
Y22=w2r22=5*0,3922=1,961
Y32=w2r32=5*0,4902=2,451
Y42=w2r42=5*0,2941=1,4705
Y52=w2r52=5*0,3922=1,961
Y62=w2r62=5*0,2941=1,4705
Y72=w2r72=5*0,4902=2,451
Y13=w3r13=4*0,3837=1,5348
Y23=w3r23=4*0,1291=0,5164
Y33=w3r33=4*0,1291=0,5164
Y43=w3r43=4*0,2582=1,0328
Y53=w3r53=4*0,5164=2,0656
y63=w3r63=4*0,2582=1,0328
y73=w3r73=4*0,6455=2,582
y14=w4r14=3*0,2132=0,6396
y24=w4r24=3*0,4264=1,2786
y34=w4r34=3*0,4264=1,2786
y44=w4r44=3*0,4264=1,2786
y54=w4r54=3*0,4264=1,2786
y64=w4r64=3*0,4264=1,2786
y74=w4r74=3*0,2132=0,6396
Matrik Y
1,352 0,9805 1,5348 0,6396
2,028 1,961 0,5164 1,2786
1,352 2,451 0,5164 1,2786
1,352 1,4705 1,0328 1,2786
2,028 1,961 2,0656 1,2786
1,352 1,4705 1,0328 1,2786
0,676 2,451 2,582 0,6396
Y+=max{1,352,2,028,1,352,1,352,2,028,1,352,0,676}=2,028
y-=min{0,9805,1,961,2,451,1,4705,1,961,1,4705,2,451}=0,9805
y-=min{1,5348,0,5164,0,5164,1,0328,2,0656,1,0328,2,582}=0,5164
y+=max{0,6396,1,2786,1,2786, 1,2786,1,2786, 1,2786,0,6396}=1,2786
A+={2,028,0,9805,0,5164,1,2786}
Y-=max{1,352,2,028,1,352,1,352,2,028,1,352,0,676}=0,676
Y+=min{0,9805,1,961,2,451,1,4705,1,961,1,4705,2,451}=2,451
Y+=min{1,
5348,0,5164,0,5164,1,0328,2,0656,1,0328,2,582}=2,582
y-=max{0,6396,1,2786,1,2786, 1,2786,1,2786, 1,2786,0,6396}=0,6396
A-={0,676,2,451,2,582,0,6396}
D1+=√(1,3521-2,028)²+(0,9805-0,9805)²+(1,5348-0,5164)²+(0,6396-1,2786)²=1,2022
D2+=√(2,028-2,028)²+(1,961-0,9805)²+(0,5164-0,5164)²+(1,2786-1,2786)²=0,9805
D3+=√(1,352-2,028)²+(2,451-0,9805)²+(0,5164-0,5164)²+(1,2786-1,2786)²=1,6836
D4+=√(1,352-2,028)²+(1,4705-0,9805)²+(1,0328-0,5164)²+(1,2786-1,2786)²=0,9817
D5+=√(2,028-2,028)²+(1,961-0,9805)²+(2,0656-0,5164)²+(1,2786-1,2786)²=1,6248
D6+=√(1,352-2,028)²+(1,4705-0,9805)²+(1,0328-0,5164)²+(1,2786-1,2786)²=0,9817
D7+=√(0,676-2,028)²+(2,451-0,9805)²+(2,582-0,5164)²+(0,6396-1,2786)²=2,9436
D1-=√(1,014-0,676)²+(0,9605-2,451)²+(1,5348-2,582)²+(0,8528-0,6396)²=1,8649
D2-=√(1,521-0,676)²+(1,961-2,451)²+(0,5164-2,582)²+(1,7056-0,6396)²=2,5213
D3-=√(1,014-0,676)²+(2,541-2,451)²+(0,5164-2,582)²+(1,7056-0,6396)²=2,3488
D4-=√(1,104-0,676)²+(1,4705-2,451)²+(1,0328-2,582)²+(1,7056-0,6396)²=2,1635
D5-=√(1,521-0,676)²+(1,961-2,451)²+(2,0636-2,582)²+(1,7056-0,6396)²=1,5359
D6-=√(1,014-0,676)²+(1,4705-2,451)²+(1,0328-2,582)²+(1,7056-0,6396)²=2,1475
D7-=√(0,507-0,676)²+(2,451-2,451)²+(2,582-2,582)²+(0,8528-0,6396)²=0,2720
V1= DI
Di- + Di+
V1= 1,8649
1,8649+1,2022 =1,6446
V2= 2,5213
2,5213+0,9805 =1,3888
V3= 2,3488
2,3488+1,6836 =1,7167
V4= 2,1635
2,1636+0,9817 =1,4537
V5= 1,5359
1,5359+1,6248 =2,0578
V6= 2,1475
2,1475+0,9817 =1,4571
V7= 0
0+2,9436 =0
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