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Contents |
6 |
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Preface |
14 |
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About the Authors |
16 |
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Introduction |
17 |
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1 SMART Method |
23 |
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1.1 Introduction |
23 |
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1.2 Description of SMART Method |
24 |
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1.2.1 Rating the Attributes |
24 |
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1.2.2 The Effective Weights of Alternatives |
24 |
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1.2.3 The Normalized Weights |
25 |
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1.2.4 The Final Ranking of Alternatives |
25 |
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1.3 Case Study |
26 |
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1.4 Conclusion |
28 |
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2 REGIME Method |
30 |
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2.1 Introduction |
30 |
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2.2 Description of REGIME Method |
31 |
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2.2.1 Superiority Index |
31 |
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2.2.2 Superiority Identifier |
31 |
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2.2.3 Impacts Matrix |
31 |
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2.2.4 REGIME Matrix |
31 |
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2.2.5 The Guide Index |
32 |
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2.2.6 The Final Ranking of Alternatives |
32 |
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2.3 Case Study |
32 |
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2.4 Conclusion |
35 |
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3 ORESTE Method |
37 |
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3.1 Introduction |
37 |
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3.2 Description of ORESTE Method |
38 |
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3.2.1 The Position Matrix |
38 |
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3.2.2 The Block Distance |
38 |
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3.2.3 The Block Distance Matrix |
38 |
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3.2.4 The Final Ranking of Alternatives |
38 |
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3.3 Case Study |
39 |
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3.4 Conclusion |
41 |
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4 VIKOR Method |
42 |
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4.1 Introduction |
42 |
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4.2 Description of LP-Metric |
43 |
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4.3 Description of VIKOR Method |
43 |
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4.3.1 The {\varvec f}^{*} and {\varvec f}^{ - } Indexes |
43 |
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4.3.2 The {\varvec S}_{ } and {\varvec R}_{ } Indexes |
44 |
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4.3.3 The VIKOR Index |
44 |
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4.3.4 The Final Ranking of Alternatives |
44 |
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4.4 Case Study |
44 |
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4.5 Conclusion |
46 |
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5 PROMETHEE I-II-III Methods |
47 |
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5.1 Introduction |
47 |
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5.2 Description of PROMETHEE Methods |
48 |
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5.2.1 The Preference Function |
48 |
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5.2.2 The Preference Index |
50 |
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5.2.3 The Leaving and Entering Flows |
50 |
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5.2.4 The Net Flow |
50 |
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5.2.5 Final Ranking of Alternatives (PROMETHEE I Method) |
51 |
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5.2.6 Final Ranking of Alternatives (PROMETHEE II Method) |
51 |
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5.2.7 Final Ranking of Alternatives (PROMETHEE III Method) |
52 |
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5.3 Case Study |
52 |
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5.4 Conclusion |
56 |
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6 QUALIFLEX Method |
58 |
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6.1 Introduction |
58 |
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6.2 Description of QUALIFLEX Method |
59 |
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6.2.1 The Initial Permutation of Alternatives |
59 |
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6.2.2 The Initial Ranking of Alternatives |
59 |
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6.2.3 The Dominant and Dominated Values |
59 |
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6.2.4 The Permutation Values of Attributes |
60 |
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6.2.5 The Permutation Values of Alternatives |
60 |
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6.2.6 The Final Ranking of Alternatives |
60 |
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6.3 Case Study |
60 |
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6.4 Conclusion |
63 |
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7 SIR Method |
64 |
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7.1 Introduction |
64 |
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7.2 Description of SIR Method |
65 |
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7.2.1 Comparing the Alternatives |
65 |
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7.2.2 The Preference Function |
65 |
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7.2.3 The (S) and (I) Indexes and (S) and (I) Matrices |
67 |
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7.2.4 The Flow Matrix |
68 |
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7.2.5 The (n) and (r) Flows |
68 |
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7.2.6 Final Ranking of Alternatives (SIR-SAW Method) |
69 |
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7.2.7 Final Ranking of Alternatives (SIR-PROMETHEE I Method) |
69 |
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7.2.8 Final Ranking of Alternatives (SIR-PROMETHEE II Method) |
69 |
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7.3 Case Study |
69 |
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7.4 Conclusion |
75 |
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8 EVAMIX Method |
76 |
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8.1 Introduction |
76 |
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8.2 Description of EVAMIX Method |
77 |
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8.2.1 The Superiority Rate of Alternatives |
77 |
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8.2.1.1 The First Technique for Calculating Weights |
77 |
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8.2.1.2 The Second Technique for Calculating Weights |
77 |
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8.2.2 The Differential Matrix in the Ordinal Attributes |
78 |
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8.2.3 The Differential Matrix in the Cardinal Attributes |
78 |
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8.2.4 The Total Dominance |
78 |
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8.2.5 The Final Ranking of Alternatives |
79 |
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8.3 Case Study |
79 |
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8.4 Conclusion |
82 |
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9 ARAS Method |
83 |
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9.1 Introduction |
83 |
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9.2 Description of ARAS Method |
84 |
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9.2.1 The Normalized Decision Matrix |
84 |
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9.2.2 The Weighted Normalized Decision Matrix |
84 |
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9.2.3 The Optimality Function |
84 |
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9.2.4 The Utility Degree |
85 |
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9.2.5 The Final Ranking of Alternatives |
85 |
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9.3 Case Study |
85 |
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9.4 Conclusion |
87 |
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10 Taxonomy Method |
88 |
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10.1 Introduction |
88 |
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10.2 Description of Taxonomy Method |
89 |
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10.2.1 The Mean and Standard Deviation of Attributes |
89 |
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10.2.2 The Standard Matrix |
89 |
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10.2.3 The Composite Distance Matrix |
89 |
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10.2.4 Homogenizing the Alternatives |
90 |
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10.2.5 The Development Pattern |
91 |
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10.2.6 The Final Ranking of Alternatives |
91 |
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10.3 Case Study |
91 |
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10.4 Conclusion |
94 |
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11 MOORA Method |
95 |
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11.1 Introduction |
95 |
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11.2 Description of MOORA Method |
96 |
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11.2.1 The Normalized Decision Matrix |
96 |
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11.2.2 The Reference Points |
96 |
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11.2.3 The Assessment Values |
96 |
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11.2.4 The Final Ranking of Alternatives |
96 |
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11.3 Case Study |
97 |
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11.4 Conclusion |
99 |
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12 COPRAS Method |
100 |
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12.1 Introduction |
100 |
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12.2 Description of COPRAS Method |
101 |
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12.2.1 The Normalized Decision Matrix |
101 |
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12.2.2 The Weighted Normalized Decision Matrix |
101 |
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12.2.3 The Maximizing and Minimizing Indexes |
101 |
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12.2.4 The Relative Significance Value |
102 |
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12.2.5 The Final Ranking of Alternatives |
102 |
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12.3 Case Study |
102 |
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12.4 Conclusion |
104 |
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13 WASPAS Method |
105 |
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13.1 Introduction |
105 |
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13.2 Description of WASPAS Method |
106 |
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13.2.1 The Normalized Decision Matrix |
106 |
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13.2.2 The Additive Relative Importance |
106 |
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13.2.3 The Multiplicative Relative Importance |
106 |
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13.2.4 The Joint Generalized Criterion (Q) |
107 |
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13.2.5 The Final Ranking of Alternatives |
107 |
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13.3 Case Study |
107 |
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13.4 Conclusion |
110 |
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14 SWARA Method |
111 |
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14.1 Introduction |
111 |
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14.2 Description of SWARA Method |
111 |
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14.2.1 The Initial Prioritization of Attributes |
111 |
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14.2.2 The Coefficient (K) |
112 |
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14.2.3 The Initial Weight |
112 |
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14.2.4 The Relative Weight |
112 |
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14.2.5 The Final Ranking of Attributes |
112 |
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14.3 Case Study |
112 |
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14.4 Conclusion |
114 |
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15 DEMATEL Method |
115 |
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15.1 Introduction |
115 |
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15.2 Description of DEMATEL Method |
116 |
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15.2.1 The Normalized Direct Relation Matrix |
116 |
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15.2.2 The Total Relation Matrix |
116 |
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15.2.3 The Cause and Effect Values |
116 |
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15.2.4 The Threshold Value (a) |
117 |
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15.2.5 The Interrelationship Map |
117 |
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15.2.6 The Final Ranking of Attributes |
117 |
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15.3 Case Study |
118 |
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15.4 Conclusion |
120 |
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16 MACBETH Method |
121 |
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16.1 Introduction |
121 |
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16.2 Description of MACBETH Method |
122 |
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16.2.1 Converting of Semantic Scale into Numerical Scale |
122 |
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16.2.2 The Reference Levels |
122 |
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16.2.3 The MACBETH Score (V) |
122 |
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16.2.4 The Overall Score |
123 |
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16.2.5 The Final Ranking of Alternatives |
123 |
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16.3 Case Study |
123 |
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16.4 Conclusion |
125 |
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17 ANP Method |
127 |
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17.1 Introduction |
127 |
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17.2 Description of ANP Method |
128 |
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17.2.1 The Priority Vectors |
128 |
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17.2.2 The Super Matrix |
129 |
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17.2.3 The Cluster Matrix |
129 |
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17.2.4 The Weighted Super Matrix |
129 |
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17.2.5 The Limit Super Matrix |
129 |
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17.2.6 The Utility Index |
130 |
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17.2.7 The Final Ranking of Alternatives |
130 |
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17.3 Case Study |
130 |
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17.4 Conclusion |
136 |
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18 MAUT Method |
138 |
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18.1 Introduction |
138 |
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18.2 Description of MAUT Method |
139 |
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18.2.1 The Normalized Decision Matrix |
139 |
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18.2.2 The Marginal Utility Score |
139 |
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18.2.3 The Final Utility Score |
139 |
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18.2.4 The Final Ranking of Alternatives |
140 |
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18.3 Case Study |
140 |
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18.4 Conclusion |
142 |
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19 IDOCRIW Method |
143 |
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19.1 Introduction |
143 |
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19.2 Description of IDOCRIW Method |
144 |
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19.2.1 The Normalized Decision Matrix |
144 |
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19.2.2 The Degree of Entropy |
144 |
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19.2.3 The Entropy Weight (W) |
144 |
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19.2.4 The Square Matrix |
144 |
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19.2.5 The Relative Impact Loss Matrix |
145 |
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19.2.6 The Weight System Matrix |
145 |
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19.2.7 The Criterion Impact Loss Weight (Q) |
146 |
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19.2.8 The Aggregate Weight (?) |
146 |
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19.2.9 The Final Ranking of Attributes |
146 |
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19.3 Case Study |
146 |
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19.4 Conclusion |
150 |
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20 TODIM Method |
152 |
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20.1 Introduction |
152 |
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20.2 Description of TODIM Method |
153 |
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20.2.1 The Normalized Decision Matrix |
153 |
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20.2.2 The Relative Weight |
153 |
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20.2.3 The Dominance Degree |
153 |
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20.2.4 The Overall Dominance Degree |
154 |
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20.2.5 The Final Ranking of Alternatives |
154 |
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20.3 Case Study |
154 |
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20.4 Conclusion |
157 |
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21 EDAS Method |
158 |
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21.1 Introduction |
158 |
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21.2 Description of EDAS Method |
159 |
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21.2.1 The Average Solution |
159 |
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21.2.2 The Positive and Negative Distances from Average Solution |
159 |
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21.2.3 The Weighted PDA and NDA |
159 |
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21.2.4 Weighted Normalized PDA and NDA |
160 |
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21.2.5 The Appraisal Score |
160 |
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21.2.6 The Final Ranking of Alternatives |
160 |
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21.3 Case Study |
160 |
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21.4 Conclusion |
164 |
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22 PAMSSEM I & II |
165 |
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22.1 Introduction |
165 |
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22.2 Description of PAMSSEM Methods |
166 |
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22.2.1 The Local Outranking Index |
166 |
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22.2.2 The Concordance Index |
166 |
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22.2.3 The Local Discordance Index |
167 |
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22.2.4 The Outranking Degree |
167 |
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22.2.5 The Entering and Leaving Flows |
168 |
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22.2.6 The Net Flow |
168 |
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22.2.7 The Final Ranking of Alternatives (PAMSSEM I Method) |
168 |
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22.2.8 The Final Ranking of Alternatives (PAMSSEM II Method) |
168 |
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22.3 Case Study |
169 |
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22.4 Conclusion |
172 |
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23 ELECTRE I–II–III Methods |
174 |
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23.1 Introduction |
174 |
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23.2 Description of ELECTRE Methods |
175 |
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23.2.1 The Normalized Decision Matrix |
175 |
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23.2.2 The Weighted Normalized Decision Matrix |
175 |
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23.2.3 The Dominant Matrix |
175 |
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23.2.4 The Dominated Matrix |
175 |
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23.2.5 The Concordance Matrix |
176 |
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23.2.6 The Discordance Matrix |
176 |
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23.2.7 The Aggregate Dominant Matrix |
177 |
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23.2.8 The Final Ranking of Alternatives (ELECTRE I Method) |
177 |
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23.2.9 The Final Ranking of Alternatives (ELECTRE II Method) |
177 |
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23.2.10 The Final Ranking of Alternatives (ELECTRE III Method) |
178 |
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23.3 Case Study |
179 |
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23.4 Conclusion |
186 |
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24 EXPROM I & II Method |
188 |
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24.1 Introduction |
188 |
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24.2 Description of EXPROM Methods |
189 |
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24.2.1 The Weak Preference Function |
189 |
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24.2.2 The Weak Preference Index |
189 |
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24.2.3 The Strict Preference Function |
191 |
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24.2.4 The Strict Preference Index |
192 |
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24.2.5 The Entering and Leaving Flows |
192 |
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24.2.6 The Net Flow |
192 |
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24.2.7 The Final Ranking of Alternatives (EXPROM I Method) |
193 |
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24.2.8 The Final Ranking of Alternatives (EXPROM II Method) |
193 |
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24.3 Case Study |
194 |
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24.4 Conclusion |
198 |
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25 MABAC Method |
199 |
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25.1 Introduction |
199 |
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25.2 Description of MABAC Method |
200 |
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25.2.1 The Normalized Decision Matrix |
200 |
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25.2.2 The Weighted Normalized Decision Matrix |
200 |
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25.2.3 The Border Approximation Area Matrix |
200 |
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25.2.4 The Distance from the Border Approximation Area |
201 |
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25.2.5 The Total Distances from the Border Approximate Area |
201 |
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25.2.6 The Final Ranking of Alternatives |
201 |
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25.3 Case Study |
201 |
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25.4 Conclusion |
203 |
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26 CRITIC Method |
205 |
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26.1 Introduction |
205 |
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26.2 Description of CRITIC Method |
206 |
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26.2.1 The Normalized Decision Matrix |
206 |
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26.2.2 The Correlation Coefficient |
206 |
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26.2.3 The Index (C) |
206 |
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26.2.4 The Weight of Attributes |
207 |
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26.2.5 The Final Ranking of Attributes |
207 |
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26.3 Case Study |
207 |
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26.4 Conclusion |
209 |
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27 KEMIRA Method |
210 |
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27.1 Introduction |
210 |
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27.2 Description of KEMIRA Method |
211 |
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27.2.1 The Normalized Decision Matrix |
211 |
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27.2.2 The Median Matrix |
211 |
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27.2.3 The Set of Attribute Weights |
212 |
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27.2.4 The Final Weight of Attributes |
212 |
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27.2.5 The Final Value of Alternatives |
212 |
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27.2.6 The Final Ranking of Alternatives |
213 |
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27.3 Case Study |
213 |
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27.4 Conclusion |
220 |
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References |
221 |
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Index |
234 |
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