Sunday, June 8, 2014

sistem pendukung keputusan topsis



Penyelesaaian
No.
Alternatif
Kriteria





C1
C2
C3
C4
1
Joko
3
3
3
2
2
Widodo
3
3
2
2
3
Simamora
2
4
2
1
4
Susilawati
1
4
2
1
5
Dian
1
3
4
2
6
Roma
2
1
4
2
7
Hendro
3
2
3
2

X1 =  =6.082
R11= 3/6.082 = 0.4932
R21=3/6.082=0.4932
R31=2/6.082=0.3288
R41=1/6.082=0.1644
R51=1/6.082=0.1644
R61=2/6.082=0.3288
R71=3/6.082=0.4932
X2= =8
R12=3/8=0.375
R22=3/8=0.375
R23=4/8=0.5
R22=4/8=0.5
R25=3/8=0.375
R26=1/8=0.125
R27=2/8=0.25
X3= =7.8740
R13=3/7.8740=0.3810
R23=2/7.8740=0.2540
R33=2/7.8740=0.2540
R43=2/7.8740=0.2540
R53=4/7.8740=0.5080
R63=4/7.8740=0.5080
R73=3/7.8740=0.3810

X3= =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






 
 0.4932  0.375     0.3810   0.4264
0.4932   0.375     0.2540   0.4264
0.3288   0.5          0.2540   0.2132
0.1644   0.5          0.2540   0.2132
0.1644   0.375     0.5080   0.4264
0.3288   0.125     0.5080   0.4264
0.4932   0.25        0.3810   0.4264

Y1j=wi rij             w=(4,4,5,3)
Y11=(4)0.4932=1.9728
Y21=(4)0.4932=1.9728
Y31=(4)0.3288=1.3152
Y41=(4)0.1644=0.6576
Y51=(4)0.1644=0.6576
Y61=(4)0.3288=1.3152
Y71=(4)0.4932=1.9728

Y12(4)=0.375=1.5
Y22(4)=0.375=1.5
Y32(4)=0.375=2
Y42(4)=0.375=2
Y52(4)=0.375=1.5
Y62(4)=0.375=0.5
Y72(4)=0.375=1

Y13(5)=0.3810=1.905
Y23(5)=0.3810=1.27
Y33(5)=0.3810=1.27
Y43(5)=0.3810=1.27
Y53(5)=0.3810=2.54
Y63(5)=0.3810=2.54
Y73(5)=0.3810=1.905


Y14(3)=0.4264=1.2792
Y24(3)=0.4264=1.2792
Y34(3)=0.4264=0.6396
Y44(3)=0.4264=0.6396
Y14(3)=0.4264=1.2792
Y54(3)=0.4264=1.2792
Y64(3)=0.4264=1.2792






 
1.9728   1.5          1.905     1.2792
1.9728   1.5          1.27        1.2792
1.3152   2              1.27        0.6396
0.6576   2              1.27        0.6396
0.6576   1.5          2.54        1.2792
1.3152   0.5          2.54        1.2792
1.9728   1              1.905     1.2792



Solusi Idewal Positif (A+)
Y1+=max{1.9728;1.9728;1.3152;0.6576;0;0.6557;1.3152;1.9728}=1.9728
Y2+=max{1.5;1.5;2;2;1.5;0.5;1}=2
Y3+=max{1.905;1.27;1.27;1.27;2.54;2.54;1.905}=1.905
Y4+=max{1.2792;1.2792;0.6396;0.6396;1.2792;1.2792;1.2792}=1.2792
A+{1.9728;2;1.905;1.2792}

Solusi Ideal Negatif (A-)
Y1-=min{1.9728;19728;1.3152;0.6576;0.6367;1.3152;1.9728}=0.6576
Y2-=min{1.5;1.5;2;2;1.5;0.5;1}=0.5
Y3-=min{1.905;1.27;1.27;1.27;2.54;2.54;1.905}=1.27
Y4=min{1.2792;1.2792;0.6396;0.6396;1.2792;1.2792;1.2792}=0.6396
A-(0.6576;1.5;1.27;0.6396)







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