Preface 1
Chapter 1. Introduction 1
1.1 Background 1
1.1.1 Development of bounded rationality 2
1.1.2 Development of fuzzy information 3
1.1.3 Importance of research about fuzzy decision making with prospect theory 3
1.2 Corresponding preliminaries 4
1.2.1 Prospect theory 5
1.2.2 TODIM 5
1.2.3 Intuitionistic fuzzy information 7
1.2.4 Probabilistic hesitant fuzzy information 9
1.2.5 Hesitant fuzzy linguistic information 11
1.2.6 Probabilistic linguistic information 14
1.3 Aim and focus of this book 17
Chapter 2. Intuitionistic Fuzzy MADM based on PT 19
2.1 Decision-making procedure 20
2.2 Illustrative example 24
2.2.1 Decision-making attributes used by VCs 26
2.2.2 Selecting process and results derived by IFPT 28
2.2.3. Selecting process and results derived by TOPSIS 30
2.3. Remarks 33
Chapter 3. QUALIFLEX based on PT with Probabilistic Linguistic Information 35
3.1 Procedure of P-QUALIFLEX with probabilistic linguistic information 36
3.2 Procedure of the extended QUALIFLEX with probabilistic linguistic information 39
3.3 Illustrative example 41
3.3.1 Results of P-QUALIFLEX with probabilistic linguistic information 42
3.3.2 Results of the extended QUALIFLEX with probabilistic linguistic information 46
3.4 Comparative analysis 48
3.4.1 Comparison of P-QUALIFLEX with extended QUALIFLEX 48
3.4.2 Comparison of P-QUALIFLEX with TODIM 50
3.5 Remarks 55
Chapter 4. Group PROMETHEE based on PT with Hesitant Fuzzy Linguistic Information 57
4.1 GP-PROMETHEE with hesitant fuzzy linguistic information 60
4.2 G-PROMETHEE with hesitant fuzzy linguistic information 65
4.3 Illustrative example 67
4.3.1 Decision-making background 67
4.3.2 Results of the GP-PROMETHEE with hesitant fuzzy linguistic information 69
4.3.3 Results of the G-PROMETHEE with hesitant fuzzy linguistic information 75
4.3.4 Results of TODIM with hesitant fuzzy linguistic information 78
4.3.5 Comparative analysis 80
4.3.5.1 Comparative analysis based on the results of illustrative example 81
4.3.5.2 Comparative analysis based on the sensitivity of parameters 82
4.4 Simulation analysis 88
4.5 Remarks 91
Chapter 5. Prospect Consensus with Probabilistic Hesitant Fuzzy Preference Information 93
5.1 Probabilistic hesitant fuzzy preference information 93
5.2 Consensus model based on PT with P-HFPs 95
5.2.1 Prospect consensus measure with P-HFPs 96
5.2.2 Procedure of reaching prospect consensus and decision-making 100
5.3 Illustrative example 102
5.3.1 Sequential decision-making attributes 103
5.3.2 Results of prospect consensus with P-HFPs 106
5.3.3 Results of the expected consensus process with P-HFPs 114
5.3.4 Results of prospect consensus with HFPs 117
5.3.5 Results of the expected consensus with HFPs 120
5.3.6 Comparative analysis 121
5.4 Simulated analysis 124
5.5 Remarks 131
Chapter 6. An Improved TODIM based on PT 132
6.1 Procedure of the improved TODIM 133
6.2 Illustrative example 135
6.2.1 Decision-making background 135
6.2.2 Results of the improved TODIM 136
6.2.3 Results of the classical TODIM 139
6.2.4 Comparative analysis between the improved and the classical TODIM 140
6.3 Remarks 141
Chapter 7. An improved TODIM with probabilistic hesitant fuzzy information 143
7.1 Procedure of the improved TODIM with probabilistic hesitant fuzzy information 143
7.2 Procedure of the improved TODIM with hesitant fuzzy information 145
7.3 Illustrative analysis 148
7.3.1 Screening process of the improved TODIM with probabilistic hesitant fuzzy information 148
7.3.2 Screening process of the extended TODIM with probabilistic hesitant fuzzy information 150
7.3.3 Screening process of the improved TODIM with hesitant fuzzy information 153
7.3.4 Screening process of the extended TODIM with hesitant fuzzy information 154
7.3.5 Analysis 157
7.4 Comparative analysis 159
7.4.1 Comparative analysis with the TOPSIS method 159
7.4.2 Sensitivity analysis based on the parameter values 162
7.4.2.1 Sensitivity analysis of the improved TODIM and the extended TODIM with the same fuzzy information 162
7.4.2.2 Sensitivity analysis of the improved TODIM and the extended TODIM based on different types of fuzzy information 165
7.5 Simulation analysis 171
7.6 Remarks 173
Chapter 8. Conclusions 175
8.1 Summary 175
8.2 Future studies 178
References: 181
