5.3.2.5 Penentuan Prioritas Urutan Pemasok Gula Murni dengan TOPSIS
Technique for Order Preference by Similarity to Ideal Solution
Dalam penentuan prioritas urutan pemasok dengan TOPSIS terlebih dahulu dilakukan perhitungan bobot untuk masing-masing kriteria dan alternatif
dengan menggunakan rata-rata geometrik. Nilai rata-rata geometrik ini dianggap sebagai hasil penilaian kelompok dari nilai-nilai yang diberikan oleh 7 orang
responden. Berikut ini adalah contoh perhitungan rata-rata geometrik untuk alternatif 1 dengan subkriteria 1.
Responden 1 : 2,1852 Responden 2 : 4,3168
Responden 3 : 2,1852 Responden 4 : 3,3159
Responden 5 : 3,3159 Responden 6 : 3,3159
Responden 7 : 2,1852 Maka rata-rata geometriknya adalah :
X =
7 7
3 2
1
X ...
X X
X ×
× ×
×
X =
7
1852 ,
2 ...
1852 ,
2 3168
, 4
1852 ,
2 ×
× ×
× = 1,5429
Dengan cara yang sama, rata-rata geometrik setiap kriteria dengan alternatif. Rata-rata geometriknya dapat dilihat pada Tabel 5.16 berikut.
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Tabel 5.16 Rekapitulasi Hasil Transformasi Skala Baru Untuk Kuisioner Tingkat Kesesuaian Pemasok Gula Murni Pemasok Responden
P1 P2
P3 Q1
Q2 Q3
D1 D2
D3 S1
S2 S3
W1 W2
PT. A
1 2,1852 2,1852 2,1852 3,3159 3,3159 3,3159 2,1852 2,1852 2,1852 2,1852 3,3159 3,3159 3,3159 2,1852
2 4,3168 3,3159 4,3168 4,3168 4,3168 4,3168 3,3159 4,3168 4,3168 3,3159 5,3820 4,3168 5,3820 5,3820
3 2,1852 2,1852 2,1852 3,3159 2,1852 3,3159 2,1852 3,3159 3,3159 2,1852 3,3159 3,3159 3,3159 3,3159
4 3,3159 4,3168 3,3159 4,3168 4,3168 4,3168 3,3159 3,3159 4,3168 4,3168 3,3159 4,3168 3,3159 3,3159
5 3,3159 2,1852 2,1852 3,3159 2,1852 3,3159 2,1852 3,3159 3,3159 2,1852 3,3159 2,1852 3,3159
1 6
3,3159 4,3168 4,3168 3,3159 4,3168 3,3159 3,3159 4,3168 3,3159 3,3159 4,3168 4,3168 4,3168 3,3159 7
2,1852 2,1852 2,1852 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 2,1852 3,3159 3,3159 3,3159 1
Pemasok Responden P1
P2 P3
Q1 Q2
Q3 D1
D2 D3
S1 S2
S3 W1
W2
PT. B
1 3,3159 4,3168 4,3168 4,3168 5,3820 4,3168 4,3168 4,3168 3,3159 4,3168 4,3168 4,3168 4,3168 4,3168
2 4,3168 4,3168 3,3159 4,3168 4,3168 4,3168 3,3159 3,3159 2,1852 3,3159 3,3159 4,3168 3,3159 3,3159
3 2,1852 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 2,1852 3,3159 3,3159 3,3159 3,3159 2,1852
4 4,3168 4,3168 4,3168 4,3168 4,3168 5,3820 4,3168 5,3820 4,3168 4,3168 4,3168 4,3168 4,3168 4,3168
5 4,3168 4,3168 4,3168 5,3820 4,3168 5,3820 4,3168 4,3168 3,3159 4,3168 4,3168 4,3168 4,3168 4,3168
6 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 4,3168 2,1852 3,3159 3,3159 3,3159 4,3168 3,3159
7 2,1852 3,3159 3,3159 3,3159 3,3159 2,1852 3,3159 2,1852 2,1852 2,1852 3,3159 2,1852 2,1852 3,3159
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Tabel 5.16 Rekapitulasi Hasil Transformasi Skala Baru Untuk Kuisioner Tingkat Kesesuaian Pemasok Gula Murni Lanjutan
Pemasok Responden P1
P2 P3
Q1 Q2
Q3 D1
D2 D3
S1 S2
S3 W1
W2
PT. C
1 3,3159 4,3168 3,3159 3,3159 3,3159 4,3168 4,3168 3,3159 4,3168 4,3168 4,3168 4,3168 3,3159 3,3159
2 4,3168 5,3820 4,3168 4,3168 4,3168 5,3820 4,3168 3,3159 5,3820 5,3820 5,3820 4,3168 4,3168 5,3820
3 3,3159 4,3168 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 4,3168 3,3159 4,3168 3,3159 3,3159 3,3159
4 3,3159 4,3168 3,3159 3,3159 3,3159 4,3168 3,3159 2,1852 3,3159 3,3159 3,3159 3,3159 3,3159 2,1852
5 4,3168 5,3820 5,3820 4,3168 4,3168 5,3820 4,3168 4,3168 5,3820 5,3820 5,3820 5,3820 4,3168 4,3168
6 4,3168 5,3820 5,3820 4,3168 5,3820 4,3168 4,3168 4,3168 4,3168 4,3168 4,3168 4,3168 5,3820 4,3168
7 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 2,1852 3,3159 4,3168 3,3159 3,3159 3,3159 3,3159
Pemasok Responden P1
P2 P3
Q1 Q2
Q3 D1
D2 D3
S1 S2
S3 W1
W2
PT. D
1 3,3159 4,3168 3,3159 3,3159 3,3159 3,3159 3,3159 4,3168 3,3159 3,3159 3,3159 3,3159 4,3168 3,3159
2 5,3820 5,3820 5,3820 5,3820 4,3168 5,3820 5,3820 5,3820 5,3820 4,3168 5,3820 5,3820 5,3820 4,3168
3 3,3159 4,3168 4,3168 4,3168 4,3168 3,3159 4,3168 4,3168 4,3168 3,3159 4,3168 4,3168 3,3159 4,3168
4 4,3168 3,3159 3,3159 3,3159 3,3159 3,3159 4,3168 3,3159 3,3159 3,3159 3,3159 4,3168 3,3159 3,3159
5 4,3168 4,3168 4,3168 5,3820 5,3820 4,3168 5,3820 5,3820 4,3168 5,3820 5,3820 5,3820 4,3168 4,3168
6 5,3820 5,3820 5,3820 5,3820 5,3820 5,3820 4,3168 4,3168 5,3820 5,3820 4,3168 4,3168 5,3820 4,3168
7 5,3820 5,3820 4,3168 5,3820 5,3820 5,3820 5,3820 5,3820 4,3168 5,3820 4,3168 5,3820 5,3820 5,3820
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Tabel 5.16 Rekapitulasi Hasil Transformasi Skala Baru Untuk Kuisioner Tingkat Kesesuaian Pemasok Gula Murni Lanjutan
Pemasok Responden P1
P2 P3
Q1 Q2
Q3 D1
D2 D3
S1 S2
S3 W1
W2
PT. E
1 5,3820 5,3820 4,3168 5,3820 5,3820 4,3168 5,3820 5,3820 5,3820 4,3168 4,3168 5,3820 4,3168 4,3168
2 4,3168 5,3820 5,3820 4,3168 5,3820 4,3168 5,3820 5,3820 4,3168 4,3168 4,3168 4,3168 4,3168 5,3820
3 5,3820 5,3820 5,3820 5,3820 4,3168 5,3820 5,3820 5,3820 4,3168 5,3820 4,3168 4,3168 4,3168 4,3168
4 4,3168 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 4,3168 4,3168 4,3168 3,3159 3,3159 3,3159 3,3159
5 3,3159 3,3159 3,3159 3,3159 4,3168 3,3159 4,3168 4,3168 3,3159 3,3159 3,3159 4,3168 4,3168 4,3168
6 3,3159 4,3168 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159 3,3159
7 5,3820 5,3820 4,3168 4,3168 5,3820 4,3168 4,3168 5,3820 5,3820 5,3820 4,3168 5,3820 4,3168 5,3820
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5.3.2.6 Matriks Keputusan Ternormalisasi