Introduction
Literature
Authors/contents | PES | MADM | PES and MADM | ||||
---|---|---|---|---|---|---|---|
Basic concepts | PES history | Integrated MADM methods | ELECTRE | AHP | Finance Apps | PES and MADM | |
Roy [18] | X | ||||||
Saaty [19] | X | ||||||
Kaplan and Norton [9] | X | ||||||
Letza [8] | X | ||||||
Basu and Wright [1] | X | ||||||
Cheng and Li [7] | X | ||||||
Bouri et al. [4] | X | ||||||
Scarelli and Narula [20] | X | ||||||
Yurdakul and Ic [26] | X | ||||||
Benayoun and Bilberry [2] | X | ||||||
Birgün and Ci̇han [3] | X | ||||||
Rouyendagh [11] | X | ||||||
Çağıl [5] | X | ||||||
Erkan and Rouyendegh [17] | X | ||||||
Onder and Hepsen [1] | X | ||||||
Erkan and Rouyendegh [24] | X | ||||||
X | |||||||
Sehhat et al. [21] | X | ||||||
Tunay and Akhisar [23] | X | ||||||
Omurbek [10] | X | ||||||
Yucel and Gorener [25] | X | ||||||
Ozdemir [12] | X | ||||||
Percin and Aldalou [13] | X | ||||||
Pérez-Domínguez et al. [6] | X | ||||||
Şenel et al. [22] | X |
Methodology
Analytical hierarchy process (AHP)
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A non-structured issue is described.
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Detailed descriptions of attributes and alternatives.
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Comparisons between choice factors are made on a pair-by-pair basis.
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The eigenvalue approach is used to determine the weights of decision elements.
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The matrix's consistency qualities are found;
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Weighted decision elements are determined.
Preference definition | Equally preferred | Equally to moderately preferred | Moderately preferred | Moderately to strongly preferred | Strongly preferred | Strongly to very strongly preferred | Very strongly preferred | Very strongly to extremely preferred | Extremely preferred |
---|---|---|---|---|---|---|---|---|---|
Intensity of Importance | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Elimination and Choice Expressing the Reality (ELECTRE)
A case study
AHP application
K/K | K1 | K2 | K3 | K4 | K5 | K6 | K7 | K8 |
---|---|---|---|---|---|---|---|---|
K1 | 1 | 6 | 8 | 4 | 8 | 8 | 6 | 6 |
K2 | 1/6 | 1 | 1 | 1/2 | 2 | 3 | 2 | 2 |
K3 | 1/8 | 1 | 1 | 1/4 | 1 | 1 | 1/2 | 1/2 |
K4 | ¼ | 2 | 4 | 1 | 4 | 5 | 3 | 3 |
K5 | 1/8 | 1/2 | 1 | 1/4 | 1 | 1 | 1/2 | 1/2 |
K6 | 1/8 | 1/3 | 1 | 1/5 | 1 | 1 | 1 | 1 |
K7 | 1/6 | 1/2 | 2 | 1/3 | 2 | 1 | 1 | 1 |
K8 | 1/6 | 1/2 | 2 | 1/3 | 2 | 1 | 1 | 1 |
K1 | K2 | K3 | K4 | K5 | K6 | K7 | K8 |
---|---|---|---|---|---|---|---|
44.0% | 9.9% | 4.9% | 18.3% | 4.4% | 4.9% | 6.8% | 6.8% |
ELECTRE application
D/K | K1 | K2 | K3 | K4 | K5 | K6 | K7 | K8 |
---|---|---|---|---|---|---|---|---|
D1 | 0.54 | 0.03 | 0.56 | 0.97 | 0.99 | 0.89 | 0.97 | 1 |
D2 | 0.81 | 1 | 1 | 0.75 | 0.9 | 0.85 | 0.84 | 0.61 |
D3 | 0.98 | 1 | 1 | 0.97 | 0.65 | 0.61 | 0.75 | 1 |
D4 | 0.44 | 0.26 | 0.47 | 0.8 | 0 | 0.67 | 0.72 | 0.5 |
D5 | 0.6 | 1 | 0.82 | 1 | 0.635 | 0.755 | 0.92 | 0.5 |
D/D | D1 | D2 | D3 | D4 | D5 |
---|---|---|---|---|---|
D1 | – | 0.41 | 0.16 | 0.9 | 0.23 |
D2 | 0.59 | – | 0.16 | 0.82 | 0.65 |
D3 | 0.59 | 0.69 | – | 0.95 | 0.6 |
D4 | 0.1 | 0.18 | 0.05 | – | 0 |
D5 | 0.77 | 0.25 | 0.3 | 0.93 | – |
D/D | D1 | D2 | D3 | D4 | D5 |
---|---|---|---|---|---|
D1 | – | 1 | 1 | 0.46 | 1 |
D2 | 1 | – | 1 | 0.04 | 0.38 |
D3 | 0.07 | 0.15 | – | 0.28 | 1 |
D4 | 1 | 1 | 1 | – | 0.38 |
D5 | 0.37 | 1 | 1 | 0 | – |
D/D | D1 | D2 | D3 | D4 | D5 |
---|---|---|---|---|---|
D1 | – | – | – | Dominance | – |
D2 | – | – | – | Dominance | Dominance |
D3 | Dominance | Dominance | – | Dominance | – |
D4 | – | – | – | – | – |
D5 | Dominance | – | – | Dominance | – |
K1 | K2 | K3 | K4 | K5 | K6 | K7 | K8 |
---|---|---|---|---|---|---|---|
25% | 10% | 10% | 20% | 5% | 10% | 10% | 10% |
D1 | D2 | D3 | D4 | D5 |
---|---|---|---|---|
4 | 2 | 1 | 5 | 3 |
Dept./results | Positive solution (S+) | Negative solution (S−) | Ideal solution (S−/(S− + S+)) | Rank |
---|---|---|---|---|
D1 | 0.136 | 0.049 | 0.267 | 4 |
D2 | 0.054 | 0.121 | 0.69 | 2 |
D3 | 0.015 | 0.165 | 0.919 | 1 |
D4 | 0.162 | 0.024 | 0.128 | 5 |
D5 | 0.11 | 0.074 | 0.401 | 3 |
Dept./results | Positive solution (phi +) | Negative solution (phi-) | Net phi | Rank |
---|---|---|---|---|
D1 | 1.1199 | 0.908163 | 0.21173 | 3 |
D2 | 1.21173 | 0.489796 | 0.72194 | 2 |
D3 | 1.47066 | 0.440051 | 1.03061 | 1 |
D4 | 0.07908 | 2.174745 | − 2.0957 | 5 |
D5 | 0.85714 | 0.725765 | 0.13138 | 4 |
Dept./results | Suggested model ranks | Classical method ranks | TOPSIS ranks | PROMETHEE ranks |
---|---|---|---|---|
D1 | 4 | 4 | 4 | 3 |
D2 | 2 | 2 | 2 | 2 |
D3 | 1 | 1 | 1 | 1 |
D4 | 5 | 5 | 5 | 5 |
D5 | 3 | 3 | 3 | 4 |