Decision-Making Analyses with Thermodynamic Parameters and Hesitant Fuzzy Linguistic Preference Relations (Studies in Fuzziness and Soft Computing, 409)

✍ Scribed by Peijia Ren, Zeshui Xu

• Publisher: Springer
• Year: 2021
• Tongue: English
• Leaves: 140
• Category: Library

✦ Synopsis

The book introduces readers to some of the latest advances in and approaches to decision-making methods based on thermodynamic characters and hesitant fuzzy linguistic preference relations. By investigating the decision-making methods with thermodynamic parameters based on different information representatives, the book offers readers a novel perspective for solving problems under uncertainty. By exploring the consistency and consensus of hesitant fuzzy linguistic preference relations, the book gives readers efficient ways for preference analysis under uncertainty, chiefly intended for researchers and practitioners working in operations research, multi-attribute decision making, preference analysis, etc. The book can also be used as supplementary material for postgraduate and senior-year undergraduate students of the relevant professional institutions.

✦ Table of Contents

Preface
References
Contents
1 Introduction
1.1 Background
1.1.1 Development of Fuzzy Information
1.1.2 Development of Hesitant Fuzzy Linguistic Preference Relation
1.1.3 Development of Thermodynamics
1.2 Importance of Decision-Making Analyses with Thermodynamic Parameters and Hesitant Fuzzy Linguistic Preference Relations
1.3 Aim of  Book
References
2 Literature Review
2.1 Review of Decision-Making Based on Thermodynamics
2.1.1 Decision Methods with Criteria Entropy
2.1.2 Decision-Making with Entropy Applications
2.2 Review of Decision-Making Based on Hesitant Fuzzy Linguistic Preference Relation
2.2.1 Decision Models for Deriving Priority Vector
2.2.2 Decision Making with Consistency Measure
2.2.3 Consensus Models for Group Decision Making
References
3 A Thermodynamic Method for Intuitionistic Fuzzy Decision Making
3.1 Intuitionistic Fuzzy Set
3.2 Description of the Method with Thermodynamic Parameters
3.3 Intuitionistic Fuzzy Decision-Making Method with Thermodynamic Parameters
3.4 Comparative Analyses
3.4.1 Result Comparisons with Different Methods
3.4.2 Sensitive Analysis on Results with Different Methods
3.5 A Case Study on Addressing Hierarchical Diagnosis and Treatments
3.5.1 Description of the Case
3.5.2 Decision-Making Process
3.5.3 Comparison Case Results with Other Methods
3.6 Summary
References
4 A Thermodynamic Method for Hesitant Fuzzy Decision Making Based on Prospect Theory
4.1 Prospect Theory
4.2 Hesitant Fuzzy Sets
4.3 Hesitant Fuzzy Prospect Matrix
4.4 Thermodynamic Decision-Making Method Based on Prospect Theory
4.5 Discussions
4.5.1 The Validation of the Method
4.5.2 Comments on the Existing Method
4.6 A Case Study on Emergency Decision Making in Firing and Exploding Accident
4.6.1 Description of the Case
4.6.2 Decision-Making Process
4.6.3 Comparing Case Results with Hesitant Fuzzy TOPSIS
4.7 Summary
References
5 A Thermodynamic Method for Heterogeneous Decision Making Based on Confidence Level
5.1 Linguistic Information
5.2 Heterogeneous Thermodynamic Parameters
5.3 Weights Modification Process
5.4 Decision-Making with Thermodynamic Parameters and Confidence Level Under Heterogeneous Environment
5.5 Discussions
5.6 A Case Study on Green Supplier Selection Under a Low-Carbon Economy
5.6.1 Description of the Case
5.6.2 Indicators Selection
5.6.3 Decision-Making Process
5.7 Summary
References
6 A Priority Programming Model for Hesitant Fuzzy Linguistic Preference Relation
6.1 Hesitant Fuzzy Linguistic Preference Relation
6.2 A Hyperplane-Consistency-Based Programming Model
6.2.1 Satisfaction for the Consistency Degree
6.2.2 Priority Space
6.2.3 Mathematical Programming Model
6.3 Decision-Making Procedure
6.4 Discussions
6.4.1 Analyses on Parameter t
6.4.2 Statistical Comparative Study
6.5 Extension of the Model Under Incomplete Environment
6.5.1 Incomplete Hesitant Fuzzy Linguistic Preference Relation
6.5.2 A Programming Model for Deriving Priorities
6.5.3 Discussions
6.6 A Case Study on Assessing the Effects of Hydropower Stations’ Flood Discharge and Energy Dissipation on Environment
6.6.1 Description of the Case
6.6.2 Decision-Making Process
6.7 Summary
References
7 A Group Decision-Making Method for Hesitant Fuzzy Linguistic Preference Relations Based on Modified Extent Measurement
7.1 A Kernel-Based Algorithm Under Hesitant Fuzzy Linguistic Environment
7.2 Group Consensus Measurement
7.3 A Group Decision-Making Procedure
7.4 Discussions
7.4.1 Convergence with Different Numbers of Decision Makers and Different Orders of HFLPRs
7.4.2 Convergence with Different Maximum Modified Extents
7.5 A Case Study on Selecting an Optimal Flood Discharge Technique for a Hydropower Station
7.5.1 Description of the Case
7.5.2 Decision-Making Process
7.6 Summary
References
8 A Consensus Model for Hesitant Fuzzy Linguistic Preference Relation Based on Consistency Driven
8.1 Consistency Index for a Hesitant Fuzzy Linguistic Preference Relation
8.1.1 Consistency Index
8.1.2 Acceptable Threshold
8.2 Group Consensus with Hesitant Fuzzy Linguistic Preference Relations
8.2.1 Consensus Index
8.2.2 Consensus Reaching Process Based on Consistency Measurement
8.3 A Decision-Making Procedure
8.4 Discussions
8.4.1 Acceptably Consistent Threshold
8.4.2 Applicability of the Proposed Procedure
8.5 A Case Study on Assessing the Erosion Impacts of Hydropower Stations on Environment
8.5.1 Description of the Case
8.5.2 Decision-Making Process
8.5.3 Comparisons
8.6 Summary
References
9 Conclusions and Outlooks
9.1 Conclusions
9.2 Outlooks
9.2.1 Future Work for Decision-Making Methods Based on Thermodynamic Parameters
9.2.2 Future Work for Decision-Making Methods Based on Hesitant Fuzzy Linguistic Preference Relations
References