Preferential Voting and Applications: Approaches Based on Data Envelopment Analysis

✍ Scribed by Mehdi Soltanifar, Hamid Sharafi, Farhad Hosseinzadeh Lotfi, Witold Pedrycz, Tofigh Allahviranloo

• Publisher: Springer
• Year: 2023
• Tongue: English
• Leaves: 190
• Series: Studies in Systems, Decision and Control, 471
• Category: Library

✦ Synopsis

This book presents the theory and application of the models presented in this regard and establishes a meaningful relationship between data envelopment analysis and multi-attribute decision making. The issue of "choice" using the aggregation of voters' votes is one of the most important group decision-making issues that are always considered by decision makers in electoral systems. Voting is a method of group decision making in a democratic society that expresses the will of the majority. Voting is perhaps the simplest way to gather the opinions of experts, and this ease of application has made it a multi-attribute decision-making method in group decisions. Preferential voting is a type of voting that may refer to electoral systems or groups of the electoral system. In preferential voting, voters vote for multiple candidates, and how the candidates are arranged on the ballot is important. Researchers have made many efforts to provide models of voter aggregation, and one of the best results of these efforts is the aggregation of votes based on the policy of data envelopment analysis. Thus, in group decisions, the opinions of experts are obtained in a simple structure and consolidated in an interactive and logical structure, and the results can be a powerful tool for decision support.

This book provides a complete set of voting models based on data envelopment analysis and expressing its various applications in industry and society. However, most decision-making methods do not use the opinions of experts or reduce the motivation of experts to participate in complex interactions and time, while voting methods do not have this shortcoming.

This book is suitable for graduate students in the fields of industrial management, business management, industrial engineering, applied mathematics, and economics. It can also be a good source for researchers in decision science, decision support systems, data envelopment analysis, supply chain management, healthcare management, and others. The methods presented in this book can not only offer a comprehensive framework for solving the problems of these areas but also can inspire researchers to pursue new innovative hybrid methods.

✦ Table of Contents

Preface
Contents
1 Basic Concepts of Voting
1.1 Introduction
1.2 Voting Methods
1.3 Preferential Voting: Motivation and Application Necessity
1.4 The Voting Paradox
1.5 Discussion and Example
1.6 Summary
References
2 Introduction to Data Envelopment Analysis
2.1 Introduction
2.2 Production Possibility Set (PPS) and Basic DEA Models
2.2.1 The CCR Model
2.2.2 The BCC Model
2.2.3 The FDH Model
2.2.4 The CHD Model
2.3 The Concept of Relative Efficiency
2.4 Models Without Explicit Inputs or Outputs
2.5 Weight Restrictions in DEA
2.6 Summary
References
3 Introduction to Fuzzy Logic
3.1 Introduction
3.1.1 Fuzzy Sets
3.2 Fuzzy Numbers
3.3 Converting Linguistic Terms to Fuzzy Numbers
3.4 Summary
References
4 Preferential Voting Based on Data Envelopment Analysis
4.1 Introduction
4.2 Preferential Voting and Relative Efficiency
4.3 The Discrimination Intensity Functions
4.4 The Sensitivity of the Model to Epsilon
4.5 Examples
4.6 Summary
Appendix
References
5 Ranking Models in Preferential Voting
5.1 Motivation to Use Ranking Models
5.2 Types of Ranking Models
5.3 Super Efficiency Models
5.4 Cross Efficiency Method
5.4.1 Secondary Goal Models
5.4.2 Other Suggestions Instead of Arithmetic Mean
5.5 The Idea of Contreras
5.6 Further Ideas and Suggestions
5.7 Summary
Appendix
References
6 Group Preferential Voting
6.1 Motivation to Provide Group Preferential Voting Models
6.2 Types of Group Preferred Voting Models
6.2.1 Soltanifar’s Idea [1]
6.2.2 Ebrahimnejad’s Idea [3]
6.2.3 Ebrahimnejad and Bagherzadeh’s Idea [4]
6.2.4 Soltanifar et al.’s Idea [6]
6.3 Summary
Appendix
References
7 Preferential Voting Based on Undesirable Voters
7.1 Introduction and Motivation
7.2 Preferential Voting in the Presence of Undesirable Voters
7.3 Group Preferential Voting in the Presence of Undesirable Voters
7.4 Summary
Appendix
References
8 Hybrid Multi-attribute Decision-Making Methods Based on Preferential Voting
8.1 Introduction
8.2 Preferential Voting and Methods Based on Pairwise Comparisons
8.2.1 Voting Analytical Hierarchy Process (VAHP)
8.2.2 Best–Worst VAHP Method (BWVAHP)
8.2.3 SWARA VAHP Method
8.3 Voting TOPSIS Method
8.4 Voting Linear Assignment Method
8.5 Improved KEMIRA Method
8.6 Voting KEMIRA Method
8.7 Summary
References
9 Preferential Voting Based on the Logic of Uncertainty
9.1 Fuzzy Preferential Voting Model
9.2 Fuzzy KEMIRA Method
9.3 Summary
Appendix
References
10 Applications of Preferential Voting in Industry and Society
10.1 Introduction
10.2 Summary of Applications
10.3 Further Discussion and Suggestions
References