Minggu, 31 Mei 2015

Metode Topsis

http://mesran.net/
http://mesran.blogspot.com/
http://stmik-budidarma.ac.id/


Suatu kelurahan mendapatkan bantuan langsung tunai dari pemerintah untuk masing-masing kepala kelurga dengan syarat ketentuan sebagai berikut.

C1           : Jumlah Tanggungan
C2           : Pendapatan kepala Keluarga
C3           : Luas Bangunan Rumah
C4           : Memilik Kk

Bobot W= {4, 5, 4, 3}
Nama Kaka
Kriteria
C1
C2
C3
C4
Aldyan
4
2.350.000
100m
Ada
Hendro
5
3.050.000
50m
Ada
Joko
3
3.350.000
70m
Ada
Doni
4
2.550.000
90m
Ada
Dono
6
2.850.000
120m
Ada
kasino
3
2.650.000
80m
Ada
Susanto
2
3.350.000
150m
Tidak ada

Pembobotan dari kriteria diatas dapt dilihat dibawah ini :
C1 : Jumlah tanggungan (Atribut keuntungan)
         1-2 : 1
         3-4 : 2
         5-6 : 3
C2 : Pendapatan Kepala Keluarga (Atribut Biaya)
         2.000.000 : 1
         2.400.000 : 2
         2.800.000 : 3
         3.200.000 : 4
         3.600.000 : 5
C3 : Luas Bangunan Rumah (Atrbut Biaya)
         50-70 : 1
         71-90 : 2
         91-110 : 3
         111-130 : 4
         131-150 : 5
C4 : Memiliki KK
Ada : 2
Tidak Ada : 1












Jawaban
Nama Kaka
Kriteria
C1
C2
C3
C4
Aldyan
2
1
3
2
Hendro
3
3
1
2
Joko
2
4
2
2
Doni
2
2
2
2
Dono
3
3
4
2
kasino
2
2
2
2
Susanto
1
4
5
1



Matriks Normalisasi C1 :
R11 =
R21 =
R31 =
R41 =
R51 =
R61 =
R71 =


Matriks Normalisasi C2 :
R12 =
R22 =
R32 =
R42 =
R52 =
R62 =
R72 =

Matriks Normalisasi C3:
R13 =
R23 =
R33 =
R43 =
R53 =
R63 =
R73 =

Matriks Normalisasi C4:
R13 =
R23 =
R33 =
R43 =
R53 =
R63 =
R73 =




0.3381
0.1301
0.3779
0.4
0.5071
0.3905
0.1259
0.4
0.3381
0.5207
0.2519
0.4
0.3381
0.2603
0.2519
0.4
0.5071
0.3905
0.5039
0.4
0.3381
0.2603
0.2519
0.4
0.1690
0.5207
0.6299
0.2


       R =
Matriks Y = matriks ternormalisasi terbobot:
Yij = Wi x Rij


Y11 = 4 x 0.3381 =  1.3524
Y12 = 5 x 0.1301 =  0.6505
Y13 = 4 x 0.3379 =  1.3516
Y14 = 3 x 0.4  = 1.2

Y21 = 4 x 0.5071 = 2.0284
Y22 = 5 x 0.3905 = 1.9525
Y23 = 4 x 0.1249 = 0.5036
Y24 = 3 x 0.4  = 1.2

Y31 = 4 x 0.3381 = 1.3524
Y32 = 5 x 0.5207 = 2. 6035
Y33 = 4 x 0.2519 = 1.0076
Y34 = 3 x 0.4  = 1.2

Y41 = 4 x 0.3381 = 1.3524
Y42 = 5 x 0.2603 = 1.3015
Y43 = 4 x 0.2519 = 1.0076
Y44 = 3 x 0.4  = 1.2

Y51 = 4 x 0.5071 = 2.0284
Y52 = 5 x 0.3905 = 1.9525
Y53 = 4 x 0.5039 = 2.0156
Y54 = 3 x 0.4  = 1.2

Y61 = 4 x 0.3381 = 1.3524
Y62 = 5 x 0.2603 = 1.3015
Y63 = 4 x 0.2519 = 1.0076
Y64 = 3 x 0.4 = 1.2


Y71 = 4 x 0.1690 = 0.6760
Y72 = 5 x 0.5207 = 2.6035
Y73 = 4 x 0.6299 = 2.5196
Y74 = 3 x 0.2 = 0.6
1.3524
0.6505
1.3516
1.2
2.0284
1.9525
0.5036
1.2
1.3524
1.3524
1.0076
1.2
1.3524
1.3015
1.0076
1.2
2.0284
1.9525
2.0156
1.2
1.3524
1.3015
1.0076
1.2
0.6760
2.6035
2.5196
0.6


Y =
Menentukan matriks solusi A +
Y1+  = Max {1.3524; 2.0284; 1.3524; 1.3524; 2.0284; 1.3524; 0.6760} = 2.0284
Y2+  = Max {0.6505; 1.9525; 1.3524; 1.3015; 1.9525; 1.3015; 2.6035} = 2.6035
Y3+ = Max {1.3516; 0.5036; 1.0076; 1.0076; 2.0156; 1.0076; 2.5196} = 2.5196
Y4+ = Max {1.2; 1.2; 1.2; 1.2; 1.2; 1.2; 0.6 } = 1.2
A+  = { 2.0284; 2.6035; 2.5196; 1.2 }

Menentukan matriks solusi A -
Y1-  = Min {1.3524; 2.0284; 1.3524; 1.3524; 2.0284; 1.3524; 0.6760} = 0.6760
Y2-  = Min {0.6505; 1.9525; 1.3524; 1.3015; 1.9525; 1.3015; 2.6035} = 0.6505
Y3- = Min {1.3516; 0.5036; 1.0076; 1.0076; 2.0156; 1.0076; 2.5196} = 0.5036
Y4- = Min {1.2; 1.2; 1.2; 1.2; 1.2; 1.2; 0.6 } = 0.6
A-  = { 0.6760; 0.6505; 0.5036; 0.6 }