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E-raamat: Qualitative Investment Decision-Making Methods under Hesitant Fuzzy Environments

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This book describes five qualitative investment decision-making methods based on the hesitant fuzzy information. They are: (1) the investment decision-making method based on the asymmetric hesitant fuzzy sigmoid preference relations, (2) the investment decision-making method based on the hesitant fuzzy trade-off and portfolio selection, (3) the investment decision-making method based on the hesitant fuzzy preference envelopment analysis, (4) the investment decision-making method based on the hesitant fuzzy peer-evaluation and strategy fusion, and (5) the investment decision-making method based on the EHVaR measurement and tail analysis.
1 Introduction 1(20)
1.1 Background and Research Objects
1(3)
1.2 Literature Reviews
4(8)
1.2.1 Hesitant Fuzzy Set
4(1)
1.2.2 Numerical Scales and Hesitant Fuzzy Preferences
5(2)
1.2.3 Portfolio Selection Theory and Hesitant Fuzzy Portfolio Methods
7(2)
1.2.4 Data Envelopment Analysis and Fuzzy Data Envelopment Analysis
9(2)
1.2.5 VaR and Fuzzy VaR Measures
11(1)
1.3 Research Summary
12(1)
1.4 Research Design
13(2)
References
15(6)
2 Investment Decision Making Based on the Asymmetric Hesitant Fuzzy Sigmoid Preference Relations 21(28)
2.1 Definition and Analysis of the ASNS
21(8)
2.1.1 1-9 Scale and ASNS
22(4)
2.1.2 Some Properties of the ASNS
26(3)
2.2 AHSPR and Its Prioritization Method
29(8)
2.2.1 AHSPR
30(4)
2.2.2 Approximate Translation Method for Ranking the AHSPRs
34(3)
2.3 Investment Decision-Making Method Based on the AHSPR
37(1)
2.4 Illustrative Example and Result Analysis
38(10)
2.4.1 Background and Calculations
39(4)
2.4.2 Further Analysis
43(5)
2.5 Remarks
48(1)
References
48(1)
3 Investment Decision Making Based on the Hesitant Fuzzy Trade-Off and Portfolio Selection 49(26)
3.1 Return and Risk Under the Hesitant Fuzzy Environment
49(2)
3.2 Portfolio Selection for the General Investor Under the Hesitant Fuzzy Environment
51(6)
3.2.1 Portfolio Selection Based on the Hesitant Fuzzy Max-Score Rule
51(3)
3.2.2 Investment Opportunity and Efficient Frontier Analysis
54(3)
3.3 Portfolio Selection for the Risk Investor Under the Hesitant Fuzzy Environment
57(8)
3.3.1 Optimal Portfolio Selection Based on the Hesitant Fuzzy Trade-off Rule
58(4)
3.3.2 Investment Opportunity and Efficient Frontier Analysis
62(3)
3.4 Portfolio Selection Method of Risk Investment Under the Hesitant Fuzzy Environment
65(1)
3.5 Illustrative Example and Result Analysis
66(6)
3.5.1 Example and Calculations
67(3)
3.5.2 Further Analysis
70(2)
3.6 Remarks
72(1)
References
72(3)
4 Investment Decision Making Based on the Hesitant Fuzzy Preference Envelopment Analysis 75(20)
4.1 Efficiency Measurement and Envelopment Analysis of the HFS
76(4)
4.1.1 Division Law and Envelopment Efficiency Measurement of the HFS
76(2)
4.1.2 Dual Form and Calculation Model of HFEA
78(2)
4.2 Alternative Improvement Based on the HFEA Model
80(1)
4.3 Hesitant Fuzzy Preference Envelopment Analysis
81(5)
4.3.1 Attribute Difference Description and the Preference HFEA Model
81(4)
4.3.2 Alternative Improvement Calculation Based on the HFPEA
85(1)
4.4 Investment Decision-Making Method Based on the HFEA and HFPEA Models
86(1)
4.5 Illustrative Example and Result Analysis
87(6)
4.5.1 Background and Calculations
88(3)
4.5.2 Further Analysis
91(2)
4.6 Remarks
93(1)
References
94(1)
5 Investment Decision Making Based on the Hesitant Fuzzy Peer-Evaluation and Strategy Fusion 95(22)
5.1 Hesitant Fuzzy Peer-Evaluation Model
95(7)
5.1.1 HFS and HFEA Model
96(1)
5.1.2 Peer Evaluation Under the Hesitant Fuzzy Environment
97(1)
5.1.3 The Hesitant Fuzzy Peer-Evaluation Model
98(4)
5.2 Hesitant Fuzzy Generalized Peer-Evaluation Model and Strategy Fusion
102(1)
5.3 Strategy Parameter Selection and Estimation
103(4)
5.4 Illustrative Example and Result Analysis
107(8)
5.4.1 Background and Calculations
107(5)
5.4.2 Further Analysis
112(3)
5.5 Remarks
115(1)
References
116(1)
6 Investment Decision Making Based on the EHVaR Measurement and Tail Analysis 117(24)
6.1 HFS, PHFS and Their Tail Information
118(2)
6.2 VaR Measurements of the PHFE and Tail Decision Making
120(6)
6.2.1 HVaR of the PHFE
121(2)
6.2.2 EHVaR of the PHFE
123(2)
6.2.3 Tail Decision Making Based on the EHVaR
125(1)
6.3 Investment Decision-Making Method Based on the EHVaR
126(6)
6.3.1 Dynamic Programming Model to Calculate the Dynamic Weights of Investors
126(3)
6.3.2 Tail Investment Decision-Making Steps Based on the EHVaR
129(3)
6.4 Illustrative Example and Result Analysis
132(7)
6.4.1 Background and Calculations
132(6)
6.4.2 Further Analysis
138(1)
6.5 Remarks
139(1)
References
140(1)
7 Conclusions 141
7.1 Summary
141(2)
7.2 Future Studies
143
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