Multi-Criteria Decision-Making Sorting. Methods Applications to Real-World Problems

✍ Scribed by Luis Martínez López, Alessio Ishizaka, Jindong Qin, Pavel Anselmo Álvarez Carrillo

• Publisher: Academic Press, Elsevier
• Year: 2023
• Tongue: English
• Leaves: 280
• Category: Library

✦ Table of Contents

Front Cover
Multi-Criteria Decision-Making Sorting Methods
Copyright
Contents
Foreword
References
1 Multi-Criteria Decision-Making
1.1 Introduction
1.2 MCDM: elements and classification
1.3 Types of MCDM problems
1.4 Categorization of MCDM methods
1.5 MCDM methods
1.6 Structure of the book
References
2 Multiple-Criteria Decision-Making sorting method
2.1 Introduction
2.2 Background
2.2.1 Basic concepts concerning MCDM sorting
2.2.1.1 Computational complexity
2.2.2 The categorization of MCDM sorting methods
2.3 Publications on sorting methods
2.3.1 Contributions and applications of the MCDM sorting methods
2.3.1.1 Full aggregation approach
2.3.1.1.1 Lack of development in the full aggregation approach
2.3.1.2 Outranking approach
2.3.1.2.1 Lack of development in the outranking approach
2.3.1.3 Goal, aspiration, or reference-level approach
2.3.1.3.1 Lack of development in the goal, aspiration, or reference-level approach
2.3.1.4 Nonclassical MCDM approach
2.3.1.4.1 Lack of development in nonclassical MCDM approach
2.4 Trends and future directions for MCDM sorting
References
3 MCDM sorting methods
3.1 AHPSort: a sorting method based on AHP
3.1.1 Analytic hierarchy process
3.1.2 AHPSort
3.1.3 AHPSort II
3.1.3.1 Methodology
3.1.3.2 Illustrative example
3.2 ANPSort: a sorting method based on ANP
3.2.1 ANP
3.2.2 ANPSort
3.2.2.1 Methodology
3.2.2.2 Illustrative example
3.3 FlowSort: a sorting method based on PROMETHEE
3.3.1 PROMETHEE
3.3.2 FlowSort and extensions
3.3.2.1 FlowSort
3.3.2.2 Illustrative example
3.3.2.3 FlowSort with imprecision
3.3.2.4 FlowSort-GDSS
3.4 UTADIS (UTilités Additives DIScriminantes): a multi-criteria classification method
3.4.1 UTADIS
3.4.1.1 Principle and notation
3.4.1.2 The UTADIS sorting model
3.4.2 PREFDIS: decision support system for sorting problems
3.4.2.1 UTADIS I
3.4.2.2 UTADIS II
3.4.2.3 UTADIS III
3.4.3 UTADIS GMS–GROUP
3.4.3.1 UTADIS GMS
3.4.3.2 UTADISGMS–GROUP
3.4.3.3 Illustrative example
3.5 ELECTRE TRI: a sorting method based on ELECTREE
3.5.1 ELECTRE III
3.5.2 ELECTRE TRI and extensions
3.5.2.1 ELECTRE TRI
3.5.2.2 ELECTRE TRI-C
3.5.2.3 ELECTRE TRI-nC
3.6 TOPSIS-Sort: a sorting method based on TOPSIS
3.6.1 TOPSIS
3.6.2 TOPSIS-Sort and extensions
3.6.2.1 TOPSIS-Sort
3.6.2.2 TOPSIS-Sort-B
3.6.2.3 TOPSIS-Sort-C
3.6.2.4 Illustrative example
3.7 VIKORSort: a sorting method based on VIKOR
3.7.1 VIKOR
3.7.2 VIKORSort
3.7.2.1 Methodology
3.7.2.2 Illustrative example
3.7.2.3 Methodology
3.7.2.4 Illustrative example
3.8 CODAS-SORT: a new CODAS-based method for sorting problems
3.8.1 CODAS
3.8.2 CODAS-SORT
3.8.2.1 Illustrative example
3.9 MACBETHSort: a multiple-criteria decision-aid procedure for sorting problems
3.9.1 MACBETH
3.9.2 MACBETHSort
3.9.2.1 Methodology
3.9.2.2 Illustrative example
3.10 DEASort: data envelopment analysis based on sorting
3.10.1 DEA
3.10.1.1 CCR model
3.10.1.2 Effectiveness of the DEA method
3.10.2 DEASort
3.10.2.1 Methodology
3.10.2.2 Illustrative example
References
4 Fuzzy sets and MCDM sorting
4.1 Fuzzy sets: concepts
4.1.1 Fuzzy basic definitions
4.1.2 Operations and properties
4.1.2.1 Triangular-norm and triangular-conorm
The fuzzy intersection or t-norm
The fuzzy union or t-conorm
4.1.3 Fuzzy numbers
4.1.4 Linguistic variables
4.1.4.1 Fuzzy predicate
4.1.4.2 Fuzzy modifier
4.1.5 Fuzzy relations
4.1.5.1 Product set
4.1.5.2 Definition of relation
4.1.6 Defuzzification
4.1.7 Left and right (LR) representation
4.2 Fuzzy MCDM sorting methods
4.2.1 Fuzzy FlowSort
4.2.1.1 Sorting procedure
4.2.1.2 Fuzzy approach
4.2.2 SMAA fuzzy-FlowSort
4.2.2.1 Fuzzy approach
4.2.2.2 Category limiting profiles
4.2.2.3 Sorting procedure
4.2.3 ELECTRE TRI-C and trapezoidal fuzzy numbers
4.2.3.1 Fuzzy approach
4.2.3.2 Sorting procedure
4.2.4 Continuous cooperation fuzzy sorting
4.2.4.1 Sorting procedure based on the prisoners’ dilemma
4.2.4.2 Fuzzy approach
4.3 MCDM fuzzy sorting approaches
4.3.1 AHP-FuzzySort
4.3.2 Intuitionistic fuzzy outranking sorting for group decision making
4.3.2.1 MCDM fuzzy sorting
4.3.2.2 Group decision-making technique
4.4 Conclusion
References
5 Analysis of MCDM sorting methods
5.1 Suitability and necessity
5.1.1 AHPSort II
5.1.2 UTADIS
5.1.3 ELECTRE TRI
5.1.4 FlowSort
5.1.5 DEASort
5.1.6 TOPSIS-SORT
5.1.7 Preference disaggregation analysis (PDA)
5.1.8 Group decision-making for sorting
5.2 Characterization
5.2.1 Risk assessment
5.2.2 Education
References
6 Applications of MCDM sorting
6.1 GIS aware decisions
6.1.1 Geographic Information System (GIS)
6.1.2 The spatial criteria
6.2 Real-world case studies
6.2.1 Environmental management
6.2.1.1 Environmental risk assessments in farming parcels
6.2.1.2 Ideal landfills for waste disposal
6.2.1.3 Risk of wolf attacks
6.2.2 The security level of cities
6.2.2.1 The security level of city units
6.2.2.2 Safety of London boroughs
6.2.3 Solar energy
6.2.3.1 Absorption capacity of solar farms
6.2.3.2 Suitability of roofs for photovoltaic systems
6.2.4 Economic attractiveness of the landscape
6.2.5 Geographical marginality
References
7 Future research and remarks on MCDM sorting
7.1 MCDM sorting: trends and new avenues
7.2 Concluding remarks
References
Index
Back Cover