SOAL
Suatu kelurahan mendapatkan Bantuan Langsung Tunai dari pemerintah untuk masing masing kepala keluarga dengan syarat ketentuan sebagai berikut :
C1 : Jumlah Tanggungan
C2 : Pendapatan Kepala Keluarga
C3 : Luas Bangunan Rumah
C4 : Memiliki KK
Pilihlah 5 alternatif KK yang akan mendapatkan bantuan dari beberapa KK berikut ini :
Nama KK C1 C2 C3 C4
Aldyan 4 2.350.000 100M2 Tidak Ada
Hendro 5 3.050.000 50M2 Ada
Joko 3 3.350.000 70M2 Ada
Doni 4 2.550.000 90M2 Ada
Dono 6 2.850.000 120M2 Ada
Kasino 3 2.650.000 80M2 Ada
Susanto 2 3.350.000 150M2 Tidak Ada
Pembobotan dari kriteria diatas dapat dilihat dibawah ini :
C1 : Jumlah Tanggungan (Attribut Keuntungan)
1-2 : 1
3-4 : 2
5-6 : 3
C2 : Pendapatan Kepala Keluarga (Attribut 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 (Attribut Biaya)
50-70 : 1
71-90 : 2
91-110 : 3
111-130 : 4
131-150 : 5
C4 : Memiliki KK (Attribut Keuntungan)
Ada : 2
Tidak Ada : 1
JAWABAN
Tabel Alternatif Pembobotan
No.
|
Nama
|
C1
|
C2
|
C3
|
C4
|
1
|
Aldyan
|
2
|
2
|
3
|
1
|
2
|
Hendro
|
3
|
4
|
1
|
2
|
3
|
Joko
|
2
|
5
|
1
|
2
|
4
|
Doni
|
2
|
3
|
2
|
2
|
5
|
Dono
|
3
|
4
|
4
|
2
|
6
|
Kasino
|
2
|
3
|
2
|
2
|
7
|
Susanto
|
1
|
5
|
5
|
1
|
X1 = 5,9160
r61 = 0.3380
r71 = 0.1690
r11 = 0.3380
r21 = 0.5070
r31 = 0.3380
r41 = 0.3380
r51 = 0.5070r31 = 0.3380
r41 = 0.3380
r61 = 0.3380
r71 = 0.1690
X2 = 10,1980
r12 = 01961
r22 = 0.3922
r32 = 0.4902
r42 = 0.2941
r52 = 0.3922
r62 = 0.2941
r72 = 0.4902
X3 = 7.7459
r13 = 0.3873
r23 = 0.1291
r33 = 0.1291
r43 = 0.2582
r53 = 0.5164
r63 = 0.2582
r73 = 0.6455
X4 = 4.6904
r14 = 0.2132
r24 = 0.4264
r34 = 0.4264
r44 = 0.4264
r54 = 0.4264
r64 = 0.4264
r74 = 0.2132
Tabel Matrik R
Alternatif C1 C2 C3 C4
a6 0.3380 0.2941 0.2582 0.4264
a7 0.1690 0.4902 0.6455 0.2132
Alternatif C1 C2 C3 C4
a6 1.352 1.4705 1.0328 1,2792
a7 0.676 2,451 2.582 0,6396
Mencari Nilai Yj+ dan Yj-
Y1+ : max { 1.352, 2.028,1.352, 1.352, 2.028, 1.352, 0.676 } = 2.028
Y2+ : min { 0,9805, 1,961, 2,451, 1.4705 , 1,961, 1.4705, 2,451 } = 0,9805
Y3+ : min { 1,5492, 0,5164, 0,5164, 1.0328 , 2.0656, 1.0328, 2.582 } = 0,5164
Y4+ : max { 0,6396, 1,2792, 1,2792, 1,2792, 1,2792, 1,2792, 0,6396 } = 1,2792
Y1- : min { 1.352, 2.028,1.352, 1.352, 2.028, 1.352, 0.676 } = 0.676
Y2- : max { 0,9805, 1,961, 2,451, 1.4705 , 1,961, 1.4705, 2,451 } = 2,451
Y3- : max { 1,5492, 0,5164, 0,5164, 1.0328 , 2.0656, 1.0328, 2.582 } = 2.582
Y4- : min { 0,6396, 1,2792, 1,2792, 1,2792, 1,2792, 1,2792, 0,6396 } = 0,6396
Mencari Nilai Di+ dan Di-
D1+ : 1.3901
D2+ : 0.9805
D3+ : 1.6184
D4+ : 0.9764
D1- : 1.9199
D2- : 2.5968
D3- : 2.2655
D4- : 2.0560
D5- : 1.6564
D6- : 2.0560
D7- : 0
r12 = 01961
r22 = 0.3922
r32 = 0.4902
r42 = 0.2941
r52 = 0.3922
r62 = 0.2941
r72 = 0.4902
X3 = 7.7459
r13 = 0.3873
r23 = 0.1291
r33 = 0.1291
r43 = 0.2582
r53 = 0.5164
r63 = 0.2582
r73 = 0.6455
X4 = 4.6904
r14 = 0.2132
r24 = 0.4264
r34 = 0.4264
r44 = 0.4264
r54 = 0.4264
r64 = 0.4264
r74 = 0.2132
Tabel Matrik R
Alternatif C1 C2 C3 C4
a1 0.3380 0.1961 0.3873 0.2132
a2 0.5070 0.3922 0.1291 0.4264
a3 0.3380 0.4902 0.1291 0.4264
a4 0.3380 0.2941 0.2582 0.4264
a5 0.5070 0.3922 0.5164 0.4264 a3 0.3380 0.4902 0.1291 0.4264
a4 0.3380 0.2941 0.2582 0.4264
a6 0.3380 0.2941 0.2582 0.4264
a7 0.1690 0.4902 0.6455 0.2132
Mencari Nilai Y
BOBOT W =(4, 5, 4, 3)
Y11 = 4*0,3380 = 1,352
Y21 = 4*0,5070 = 2,028
Y31 = 4*0,3380 = 1,352
Y41 = 4*0,3380 = 1,352
Y51 = 4*0, 5070 = 2,028
Y61 = 4*0,3380 = 1,352
Y71 = 4*0,1690 = 0,676
Y12 = 5*0,1961 = 0,9805
Y22 = 5*0,3922 = 1,961
Y32 = 5*0,4902 = 2,451
Y42 = 5*0,2941 = 1.4705
Y52 = 5*0,3922 = 1,961
Y62 = 5*0,2941 = 1.4705
Y72 = 5*0,4902 = 2,451
Y13 = 4 * 0,3873 = 1,5492
Y23 = 4 * 0,1291 = 0,5164
Y33 = 4 * 0,1291 = 0,5164
Y43 = 4 * 0,2582 = 1.0328
Y53 = 4 * 0,5164 = 2.0656
Y63 = 4 * 0,2582 = 1.0328
Y73 = 4 * 0,6455 = 2.582
Y14 = 3 * 0,2132 = 0,6396
Y24 = 3 * 0,4264 = 1,2792
Y34 = 3 * 0,4264 = 1,2792
Y44 = 3 * 0,4264 = 1,2792
Y54 = 3 * 0,4264 = 1,2792
Y64 = 3 * 0,4264 = 1,2792
Y74 = 3 * 0,2132 = 0,6396
Tabel Y Terbobot
Alternatif C1 C2 C3 C4
a1 1.352 0,9805 1,5492 0,6396
a2 2.028 1,961 0,5164 1,2792
a3 1.352 2,451 0,5164 1,2792
a4 1.352 1.4705 1.0328 1,2792
a5 2.028 1,961 2.0656 1,2792a3 1.352 2,451 0,5164 1,2792
a4 1.352 1.4705 1.0328 1,2792
a6 1.352 1.4705 1.0328 1,2792
a7 0.676 2,451 2.582 0,6396
Mencari Nilai Yj+ dan Yj-
Y1+ : max { 1.352, 2.028,1.352, 1.352, 2.028, 1.352, 0.676 } = 2.028
Y2+ : min { 0,9805, 1,961, 2,451, 1.4705 , 1,961, 1.4705, 2,451 } = 0,9805
Y3+ : min { 1,5492, 0,5164, 0,5164, 1.0328 , 2.0656, 1.0328, 2.582 } = 0,5164
Y4+ : max { 0,6396, 1,2792, 1,2792, 1,2792, 1,2792, 1,2792, 0,6396 } = 1,2792
Y1- : min { 1.352, 2.028,1.352, 1.352, 2.028, 1.352, 0.676 } = 0.676
Y2- : max { 0,9805, 1,961, 2,451, 1.4705 , 1,961, 1.4705, 2,451 } = 2,451
Y3- : max { 1,5492, 0,5164, 0,5164, 1.0328 , 2.0656, 1.0328, 2.582 } = 2.582
Y4- : min { 0,6396, 1,2792, 1,2792, 1,2792, 1,2792, 1,2792, 0,6396 } = 0,6396
Mencari Nilai Di+ dan Di-
D1+ : 1.3901
D2+ : 0.9805
D3+ : 1.6184
D4+ : 0.9764
D5+ : 1.8335
D6+ : 1.3052
D7+ : 2.9438
D1- : 1.9199
D2- : 2.5968
D3- : 2.2655
D4- : 2.0560
D5- : 1.6564
D6- : 2.0560
D7- : 0