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

Multi Criteria Decision Making (MCDM) is a generic term for all methods that help people making decisions according to their preferences, in situations where there is more than one conflicting criterion. It is a branch of operational research dealing with finding optimal results in complex scenarios including various indicators, conflicting objectives and criteria. The approach of MCDM involves decision making concerning quantitative and qualitative factors. The importance and success of MCDM are due to the fact that they have successfully dealt with different types of problematics for supporting decision makers such as choice, ranking and sorting, description. Even though, each of the different problematics in MCDM is important, Multi-Criteria Decision-Making Sorting Methods will focus on sorting approaches across a wide range of interesting techniques and research disciplines. The applications which have been and can be solved by these techniques are more and more important in current real-world decision-making problems. Therefore, the book provides a clear overview of MCDM sorting methods and the different tools which can be used to solve real-world problems by revising such tools and characterizing them according to their performance and suitability for different types of problems. The book is aimed at a broad audience including computer scientists, engineers, geography and GIS experts, business and financial management experts, environment experts, and all those professional people interested in MCDM and its applications. The book may also be useful for teaching MCDM courses in fields such as industrial management, computer science, and applied mathematics, as new developments in multi-criteria decision making. Provides insights into the latest research trends in MCDM sorting methods and fuzzy-based approaches Focuses on the application of MCDM sorting methods to GIS based problems Presents engineers, computer scientists and researchers with effective and efficient solutions to real-world problems 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 Multi-Criteria Decision-Making Sorting Methods: Applications to Real-World Problems focuses on sorting approaches across a wide range of interesting techniques and research disciplines. The applications which have been, and can be, solved by these techniques are more and more important in current real-world decision-making problems. Therefore, the book provides a clear overview of MCDM sorting methods and the different tools which can be used to solve real-world problems by revising such tools and characterizing them according to their performance and suitability for different types of problems. The book is aimed at a broad audience, including computer scientists, engineers, geography and GIS experts, business and financial management experts, environment experts, and all those professional people interested in MCDM and its applications. It will also be useful for teaching MCDM courses in fields such as industrial management, computer science, applied mathematics, and new developments in multi-criteria decision-making. Provides insights into the latest research trends in MCDM and sorting approaches Covers a broad range of tools and methods across a wide range of research disciplines Presents engineers, computer scientists and researchers with effective and efficient resolutions to real-world problems Features JAVA and Python coding examples, along with supplementary datasets in every chapter