Real Life Applications of Multiple Criteria Decision Making Techniques in Fuzzy Domain

Preface
Acknowledgments
Contents
Editors and Contributors
Generalized Dombi Weighted Aggregation Operators for Multi-attribute Decision Making with Hesitant Fuzzy Information
1 Introduction
2 Preliminaries
3 Generalized Dombi Operations and Generalized Dombi Weighted AOs on HFEs
3.1 Generalized Dombi (GD) Operations on HFEs
3.2 Hesitant Fuzzy GD Weighted AOs
4 Proposed MADM Methodology
5 Case Study
5.1 Problem Description
5.2 Problem Solution
6 Discussion
6.1 The Study of Variation of Parameters k and γ on Score Values
6.2 Sensitivity Assessment (SA)
6.3 Comparative Study
7 Conclusion
References
A Novel Extended Fermatean Fuzzy Framework for Evaluating the Challenges to Sustainable Smart City Development
1 Introduction
2 Challenges to SSCD
2.1 Lack of Operational Framework (C1)
2.2 Lack of Sustainable Strategies (C2)
2.3 Lack of Governance Configuration (C3)
2.4 Lack of Inclusivity (C4)
2.5 Lack of Transformation Strategy (C5)
2.6 Lack of Awareness (C6)
2.7 Lack of Public Engagement (C7)
2.8 Lack of Standards (C8)
2.9 Social Plausibility (C9)
2.10 Lack of Infrastructure (C10)
2.11 Lack of Human Resources (C11)
2.12 Financial Support (C12)
3 Research Method
3.1 Preliminaries
3.2 FF-MEREC-Topsis
4 Results
5 Comparative Analysis
6 Sensitivity Analysis
7 Discussion
8 Conclusions
References
Nonlinear Scaled Preferences in Linguistic Multi-criteria Group Decision Making
1 Introduction
2 Preliminaries
2.1 Linguistic Decision Making
2.2 2-Tuple Linguistic Model
2.3 Extended Comparative Linguistic Expressions with Symbolic Translation
2.4 Nonlinear Preferences in GDM: Extreme Values Amplifications
3 Linguistic Nonlinear Scales in Fuzzy TOPSIS
3.1 Nonlinear Preferences for Linguistic Information: 2-Tuple EVAs
3.2 Nonlinear Preferences in ELICIT Information
3.3 Fuzzy TOPSIS with Linguistic Nonlinear Preferences
4 Case Study
5 Conclusions
References
Fermatean Fuzzy Combined Compromise Solution Multiple Expert Multiple Criteria Decision-Making Approach
1 Introduction
2 Preliminaries
3 Approach to FF-MEMCDM Based upon COCOSO
3.1 The Decision Issue Statement
3.2 FF-MEMCDM Based upon COCOSO
4 Empirical Study
4.1 Decision Analysis Procedure
4.2 Sensitivity Investigation
4.3 Validity Test
4.4 Comparison Analysis
5 Discussion
6 Conclusion
References
Multi-criteria Decision Analysis and Fuzzy-Decision-Making Trial and Evaluation Laboratory (MCDA and F-DEMATEL) Method for Flipped and Sustainable Mathematics Teaching as a Real-Life Application
1 Introduction
1.1 The MCDA and F-DEMATEL Method
1.2 Flipped Mathematics Classroom and ICTs
1.3 Pedagogical Adaptation of Sustainable Mathematics Teaching
2 Methodology
2.1 Study Sample
2.2 Criteria and Sub-criteria Choice Procedure with MCDA and F-DEMATEL
2.3 MCDA and F-DEMATEL Method
2.4 SAW and Susceptibility Study for Authentication Procedure
3 Case Study and Solution
3.1 MCDA and F-DEMATEL Results to Flipped and Sustainable Mathematics Teaching Adjusting Present Educational Changes
4 Discussion and Conclusion
4.1 Discussion
4.2 Conclusion
References
Accounting for Uncertainty and Disagreement in Multi-criteria Decision Making Using Triangular Fuzzy Numbers and Monte Carlo Simulation: A Case Study About Selecting Measures for Remediation of Agricultural Land After Radioactive Contamination
1 Introduction
2 Preliminaries
2.1 MCDM Framework
2.2 Linguistic Evaluation Scales and Fuzzy Set Theory
2.3 Group Decision Making
2.4 Monte Carlo Simulation
3 Case Study: The Application of Fuzzy MCDM to Support Remediation of Agricultural Land After a Nuclear Accident
3.1 Materials and Methods
3.2 Results
4 Discussion
5 Conclusion
References
An IT2FBWM Model to Highlight the Significance of Factors Utilized in Determining Pandemic Hospital Site Selection
1 Introduction
2 Methodology
2.1 Preliminaries
2.2 Interval Type-2 Fuzzy Best–Worst Method (IT2FBWM)
3 IT2FBWM for Determining Criteria Importance of Pandemic Hospital Site Selection
4 Conclusion
References
Group Decision-Making Analysis Under Interval-Valued qq-rung Orthopair Fuzzy Soft Expert Sets
1 Introduction
2 Interval-Valued qq-rung Orthopair Fuzzy Soft Expert Sets
3 Application to MCGDM
3.1 Analysis of Modern Energy Development Methods
4 Comparative Analysis
5 Conclusions and Future Directions
References
Information Aggregation Approaches for Multi-criteria Applications
1 Introduction
2 Aggregation Approaches
2.1 Background
2.2 Conditioned Probability
2.3 Transformation Approaches
3 Aggregation Measures
3.1 Shannon Entropy
3.2 Gini Index
3.3 Renyi Entropy
3.4 Specificity Measure
3.5 Consistency Measure
3.6 Ranges of Measures
3.7 Evaluations of Aggregated Data
4 Conclusions
References
Generalized Interval-Valued Intuitionistic Hesitant Fuzzy Power Bonferroni Means and Their Applications to Multicriteria Decision Making
1 Introduction
1.1 Motivation
2 Fundamental Concepts
3 GIVIHFPBM and GIVIHFPGBM Operators
3.1 Properties of GIVIHFPBM and GIVIHFPGBM
4 An Approach to Multicriteria Decision Making with GIVIHFPBM and GIVIHFPGBM
5 Illustrative Example
5.1 A Comparative Study
6 Conclusions
6.1 Advantages of the Proposed MCDM Method
6.2 Future Scopes
References
Modified Senapati and Yager's Fermatean Fuzzy Distance and Its Application in Students' Course Placement in Tertiary Institution
1 Introduction
2 Preliminaries
2.1 Fermatean Fuzzy Sets
2.2 Senapati and Yager's Distance Between Fermatean Fuzzy Sets
3 Modified Senapati and Yager's Distance Between Fermatean Fuzzy Sets
3.1 Some Properties of Modified Senapati and Yager's Fermatean Fuzzy Distance
3.2 Numerical Verifications
4 Course Allocations Based on Fermatean Fuzzy Distance Technique
4.1 Experimental Example
5 Conclusions
References
A Fuzzy Decision Making Inventory Model for Deteriorating Items Under Discounted Partial Advance-Partial Delayed Payment Strategy
1 Introduction
2 Assumptions and Notations
2.1 Assumptions
2.2 Notations
2.3 Decision Variable
3 Some Definitions
3.1 Fuzzy Sets
3.2 α-Cut
3.3 Convex Fuzzy Set
3.4 Normal Fuzzy Set
3.5 Fuzzy Number
3.6 Parabolic-Flat Fuzzy Number (PfFN)
3.7 Arithmetic Operations
3.8 Graded Mean Integration Representation (GMIR) Method for Defuzzification
4 Problem Description and Model Formulation
4.1 Case 1: Credit Period is Less Than Cycle Length ( M 4.2 Case 2: When the Credit Period is Greater Than or Equal to Cycle Length (M geT)
5 Solution Procedure
6 Numerical Illustration
7 Sensitivity Analysis
8 Managerial Implications
9 Conclusion
Appendix 1
Appendix 2
References
The Effect of Solvents on the Oxidation of Acetaldehyde Using TOPSIS Method in a Fuzzy Environment
1 Introduction
2 The Fuzzy TOPSIS Approach is Comprised of Several Steps
2.1 When Making a Choice, Draw a Decision Matrix
2.2 Create a Normalized Decision Matrix to Use in Your Decision-Making
2.3 Make a Decision Matrix that is Weighted and Normalized
2.4 For the Problem Statement, Compute the Fuzzy Favorable Ideal Solution (FPIS, A*) as Well as the Fuzzy Negative Ideal Alternative (FNIS, A−)
2.5 Identify the Gap Between Each Choice and the Fuzzy Optimistic Best Solution A*, as Well as the Gap with Each Choice and the Fuzzy Negative Ideal Way A-
2.6 Calculation of Closeness Coefficient
3 Conclusion
References
Solution of Airport Gate Reassignment Problem Under Uncertain Environment
1 Introduction
2 Preliminaries
3 Model Formulation
4 Solution Methodology
4.1 Algorithm
4.2 Model
4.3 MOGA Methodology [15]
5 Numerical Illustration
5.1 Problem Description
6 Results and Discussion
6.1 Result by Fuzzy Programming Technique
6.2 Results for MOGA
7 Conclusion
References
Bilevel Approach for E-Bidding Auction with Regret Theory
1 Introduction
2 Preliminaries
3 E-Bid Auction Models with Regret Theory
4 Application of E-Bidding Auction in Decision Making
4.1 Working Rule
4.2 Case Description
4.3 Comparison Analysis
5 Conclusion
References
Evaluation of Sustainable Green Building Indicators by Fuzzy Multi-Criteria Decision Making
1 Introduction
2 Literature Review
2.1 Green Building Rating Systems
2.2 Green Building and Its Applications in Multi-Criteria Decision-Making Methods
2.3 Studies with LBWA Method and Fuzzy LBWA Method
2.4 Proposed Green Building Rating Framework
3 Method
3.1 Fuzzy Theory
3.2 Fuzzy LBWA (Level-Based Weight Assessment) Method
3.3 Application of the F-LBWA Method to the Proposed Framework
4 Discussion
References
Solving Multi-objective Linear Fractional Programming Problem Utilizing (alpha comma beta right parenthesisα, β)-Cut in Triangular Intuitionistic Fuzzy Setup
1 Introduction
2 Preliminaries
3 Methodology for MOLFPP with AHP and VTM
4 Problem Formulation and Methodology for MOLFPP
5 Application in a Manufacturing Company
6 Conclusions and Scope for Future Work
References
q-Rung Orthopair Fuzzy 2-Tuple Linguistic Hamy Mean Operators for MAGDM with Modified EDAS Method
1 Introduction
2 Preliminaries
2.1 22-Tuple Linguistic Representation Model
2.2 HM Operators and Its Weighted Form
3 Some qq-ROFTLHM Aggregation Operators
3.1 qq-ROFTLHM Aggregation Operator
3.2 qq-ROFTLWHM Aggregation Operator
3.3 qq-ROFTLDHM Aggregation Operator
3.4 qq-ROFTLWDHM Aggregation Operator
4 EDAS Model for MAGDM with qq-ROFTLNs
5 Numerical Illustration
5.1 The Problem Description
5.2 The Outcomes of a Case Study
5.3 Influence of Parameters
5.4 Comparative Analysis with Existing MAGDM Methods
6 Conclusions
References
Determining the Importance Level of Effective Criteria in the Health Information System Selection via Spherical Fuzzy DEMATEL Method
1 Introduction
2 Literature
3 Research Method
3.1 Spherical Fuzzy Sets
3.2 DEMATEL Method
3.3 Spherical Fuzzy DEMATEL Method
4 Application and Findings
5 Conclusion and Recommendations
References
Score Function-Based Effective Ranking of Interval-Valued Fermatean Fuzzy Sets and Its Applications to Multi-criteria Decision Making Problem
1 Introduction
2 Preliminaries
3 Ranking of IVFFSs
4 TOPSIS Method in View of Interval-Valued Fermatean Fuzzy Sets
5 Numerical Example and Discussion
6 Conclusion
References
A Fuzzy EOQ Model for Deteriorating Items Under Trade Credit Policy with Unfaithfulness Nature of Customers
1 Introduction
2 Mathematical Prerequisite
2.1 Credibility Measure of an Event
3 Assumptions and Notations for the Proposed Models
3.1 Assumptions
3.2 Notations
4 Model Development and Analysis
4.1 Crisp Model (Model-1)
4.2 Fuzzy Model (Model-2)
5 Theoretical Discussion for Existence of a Solution
5.1 Discussion for an Optimal Solution to the Situation-1.1
5.2 Discussion for an Optimal Solution to the Situation-1.2
5.3 Discussion for an Optimal Solution to the Situation-1.3
5.4 Discussion for an Optimal Solution to the Situation-2.1
5.5 Discussion for an Optimal Solution to Situation-2.2
6 Numerical Experiments
6.1 Parametric Study on upper L 1L1 and upper L 2L2
6.2 Effect of Customers' Collateral Deposit (deltaδ) on the Proposed Model
6.3 A Sensitivity Analysis with Respect to Expiration Time (e Subscript pep) for an Item
6.4 Fuzzy Model
7 Conclusion
References
Comparison of Herd Tracking Systems Using Fuzzy Logic-Based Multi-Criteria Decision Making Methods
1 Introduction
2 Herd Tracking Systems
3 Material and Method
3.1 Fuzzy Logic and the Concept of Fuzzy Set
3.2 Fuzzy TOPSIS
3.3 Fuzzy ARAS
3.4 Fuzzy CRITIC Method
3.5 Critaeria Used In The Study
4 Results
5 Conclusion
References
Multi-criteria Decision Making and Its Application to Online Learning Platform Selection During the COVID-19 Pandemic Based on TOPSIS Method
1 Introduction
2 Basics of Fuzzy Set Theory, Linguistic Variables, and Yager Ranking Index
2.1 α-Level Set of Triangular Fuzzy Number
2.2 Linguistic Variables
2.3 Yager’s Ranking Index
3 TOPSIS Method Based on Linguistic Variables
4 Calculation of Criteria Weight Using Entropy Method
5 Numerical Example and Discussion
6 Concluding Remarks
References
A Comprehensive Study on Neutrosophic Fuzzy Solid Transportation Model and Its Solution Technique
1 Introduction
2 Preliminaries of Neutrosophic Fuzzy Number
2.1 De-neutrosophication Process of SVTNFN
3 Mathematical Models for NSTP
4 Solution Techniques
4.1 Solution Part-I
4.2 Solution Part-II
5 Numerical Experiment
5.1 A Particular Form of the General Model
6 Result Discussion
7 Conclusion and Future Direction
References
Cubic Picture Hesitant Fuzzy Linear Spaces and Their Applications in Multi Criteria Decision Making
1 Introduction
2 Preliminaries
3 Results
3.1 Cubic Picture Hesitant Fuzzy Linear Spaces
3.2 Internal and External Cubic Picture Hesitant Fuzzy Linear Spaces
4 Score Function and Cubic Picture Hesitant Fuzzy Weighted Averaging Aggregation Operators
5 Cubic Picture Hesitant Fuzzy Prioritized Weighted Averaging Aggregation Operators
6 MCDM Method Utilizing Cubic Picture Hesitant Fuzzy Aggregation Operators
7 Conclusion
References
New Ranking Approach to Solve MCDM Problems with Generalized Intuitionistic Fuzzy Information
1 Introduction
2 Some Definitions
3 Proposed Methodology
4 Numerical Illustration
5 Conclusion
References
A Note on “Parameter Estimation and Optimization of Multi-objective Capacitated Stochastic Transportation Problem for Gamma Distribution”
1 Introduction
2 Some Existing Arithmetic Operations
2.1 Additive Inverse of a Trapezoidal Interval Type-2 Fuzzy Number
2.2 Multiplicative Inverse of a Trapezoidal Interval Type-2 Fuzzy Number
2.3 Division of Two Trapezoidal Interval Type-2 Fuzzy Numbers
3 Inappropriateness of the Existing Arithmetic Operations of Trapezoidal Interval Type-2 Fuzzy Numbers
3.1 Inappropriateness of the Existing Multiplicative Inverse of a Trapezoidal Interval Type-2 Fuzzy Number
3.2 Inappropriateness of the Existing Division of Two Trapezoidal Interval Type-2 Fuzzy Numbers
4 Appropriate Arithmetic Operations of Trapezoidal Interval Type-2 Fuzzy Numbers
4.1 Appropriate Multiplicative Inverse of a Trapezoidal Interval Type-2 Fuzzy Number
4.2 Appropriate Division of Two Trapezoidal Interval Type-2 Fuzzy Numbers
5 Inappropriateness of the Existing Mathematical Models ( M1 ) and ( M2 )
6 Appropriate Mathematical Models ( M1 ) and ( M2 ) Corresponding to the Existing Mathematical Models ( M1 ) and ( M2 )
7 Gupta et al.’s Approach to Solve the Mathematical Model ( M1 )
8 Inappropriateness of Gupta Et Al.’s Approach
9 Conclusions
References
Assigning Mexican Regions to Categories of Marginality with MR-Sort
1 Introduction
2 Literature Review
2.1 Studies of Marginalization
2.2 Fuzzy Extensions of Ranking Methods
2.3 Fuzzy Sorting Methods
3 Methodology to Sorting Regions
4 Data of Marginalization
5 Results
5.1 Preferences Information
5.2 Discussion
6 Conclusions
References
Clustering Faculty Members for the Betterment of Research Outcomes: A Fuzzy Multi-criteria Decision-Making Approach in Team Formation
1 Introduction
2 The Objective of the Proposed Work
2.1 Significance of Collaboration in Research
3 Instrument for the Proposed Research
3.1 Identification of Skill Set for Researchers
3.2 Framework
4 Data Collection
4.1 Data Description
4.2 Data Transformation
5 Data Modelling
5.1 Fuzzy Clustering Model for Ranking of Teachers
5.2 Fuzzy Clustering Algorithm
6 Analysis and Interpretation
7 Conclusion
References
Freight Village Efficiency Criteria Evaluation via Fuzzy Multi-criteria Decision-Making Methods
1 Introduction
2 Literature Review About Freight Village Efficiency
3 Material and Method
3.1 Data
3.2 Fuzzy DEMATEL Method
3.3 Fuzzy Analytic Hierarchy Process Method
4 Determining the Criteria Interaction, and Priorities for the Freight Village Efficiency
4.1 Fuzzy DEMATEL Results
4.2 Fuzzy AHP Results
5 Conclusion
References