A handbook on multi-attribute decision-making methods /
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Main Authors: | , , |
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Corporate Author: | |
Format: | Electronic eBook |
Language: | English |
Published: |
Hoboken, NJ :
Wiley,
[2021]
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Series: | Wiley series in operations research and management science
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Subjects: | |
Online Access: | Connect to this title online (unlimited simultaneous users allowed; 325 uses per year) |
Table of Contents:
- Machine generated contents note: 1. Overview of the Art of Decision-making
- 1.1. Introduction
- 1.2. Classification of MADM Methods
- 1.2.1. Preference Evaluation Mechanism
- 1.2.2. Attributes' Interactions
- 1.2.3. Mathematical Nature of Attributes' Values
- 1.2.3.1. Deterministic Vs. Nondeterministic
- 1.2.3.2. Fuzzy Vs. Crisp
- 1.2.4. Number of Involved Decision-makers
- 1.3. Brief Chronicle of MADM Methods
- 1.4. Conclusion
- References
- 2. Simple Weighting Methods: Weighted Sum and Weighted Product Methods
- 2.1. Introduction
- 2.2. Weighted Sum Method
- 2.2.1. Step 1: Defining the Decision-making Problem
- 2.2.2. Step 2: Normalizing the Elements of the Decision-matrix
- 2.2.3. Step 3: Aggregating the Preference of Alternatives
- 2.3. Weighted Product Method
- 2.4. Conclusion
- References
- 3. Analytic Hierarchy Process (AHP)
- 3.1. Introduction
- 3.2. Hierarchical Structure
- 3.3. Pairwise Comparison
- 3.4. Inconsistency
- 3.5. Quadruple Axioms of the AHP
- 3.6. Stepwise Description of the AHP Method
- 3.6.1. Step 1: Defining the Decision-making Problem
- 3.6.2. Step 2: Performing the Pairwise Comparison Through the Hierarchical Structure
- 3.6.3. Step 3: Estimating the Preference Value Vectors
- 3.6.4. Step 4: Synthesizing and Computing the Overall Preference Value of Alternatives
- 3.6.5. Step 5: Evaluating the Results' Rationality and Selecting the Best Alternative
- 3.7. Conclusion
- References
- 4. Analytic Network Process (ANP)
- 4.1. Introduction
- 4.2. Network Vs. Hierarchy Structure
- 4.3. Stepwise Instruction to the ANP Method
- 4.3.1. Step 1: Defining the Decision-making Problem
- 4.3.2. Step 2: Conducting a Pairwise Comparison of the Elements of the Decision-making Problem
- 4.3.3. Step 3: Forming the Supermatrix
- 4.3.4. Step 4: Computing the Weighted Supermatrix
- 4.3.5. Step 5: Computing the Global Priority Vectors and Choosing the Most Suitable Alternative
- 4.4. Conclusion
- References
- 5. Best-Worst Method (BWM)
- 5.1. Introduction
- 5.2. Basic Principles of the BWM
- 5.3. Stepwise Description of the BWM
- 5.3.1. Step 1: Defining the Decision-Making Problem
- 5.3.2. Step 2: Determining the Reference Criteria
- 5.3.3. Step 3: Pairwise Comparisons
- 5.3.4. Step 4: Computing the Optimal Weights
- 5.3.5. Step 5: Measuring the Inconsistency of Decision-Makers Judgments
- 5.4. Conclusion
- References
- 6. TOPSIS
- 6.1. Introduction
- 6.2. Stepwise Description of the TOPSIS Method
- 6.2.1. Step 1: Establishing the Formation of the Decision-making Problem
- 6.2.2. Step 2: Normalizing the Element of the Decision-matrix
- 6.2.3. Step 3: Computing the Weighted Normalized Preference Values
- 6.2.4. Step 4: Defining the Reference Alternatives
- 6.2.5. Step 5: Calculation of the Separation Measure
- 6.2.6. Step 6: Computing the Relative Closeness to the Ideal Solution
- 6.2.7. Step 7: Ranking the Alternatives
- 6.3. Common Misinterpretation of TOPSIS Results
- 6.4. Conclusion
- References
- 7. VIKOR
- 7.1. Introduction
- 7.2. Stepwise Description of the VIKOR Method
- 7.2.1. Step 1: Modeling the Decision-Making Problem
- 7.2.2. Step 2: Normalizing the Element of the Decision-Matrix
- 7.2.3. Step 3: Compute the "Group Satisfaction" and "Individual Regret" Parameters
- 7.2.4. Step 4: Computing the VIKOR Parameter
- 7.2.5. Step 5: Ranking the Alternatives
- 7.2.6. Step 6: Determining the Compromise Solution
- 7.3. Conclusion
- References
- 8. ELECTRE
- 8.1. Introduction
- 8.2. Brief History of the ELECTRE Family of Methods
- 8.3. ELECTRE I
- 8.4. ELECTRE II
- 8.5. ELECTRE III
- 8.6. ELECTRE IV
- 8.7. Conclusion
- References
- 9. PROMETHEE
- 9.1. Introduction
- 9.2. Common Ground of the PROMETHEE Family
- 9.2.1. Stage 1: Construction of the Generalized Criteria
- 9.2.2. Stage 2: Mapping the Outrank Relation on the Set of Feasible Alternatives
- 9.2.3. Stage 3: Evaluation the Relation Among the Feasible Alternatives
- 9.3. PROMETHEE I
- 9.4. PROMETHEE II
- 9.5. PROMETHEE III
- 9.6. PROMETHEE IV
- 9.7. Conclusion
- References
- 10. Superiority and Inferiority Ranking (SIR)
- 10.1. Introduction
- 10.2. Foundational Bases of the SIR Method
- 10.3. Stepwise Description of the SIR Method
- 10.3.1. Step 1: Establishing the Formation of the Decision-Making Problem
- 10.3.2. Step 2: Computing the Superiority and Inferiority Scores
- 10.3.3. Step 3: Forming the Superiority and Inferiority Matrices
- 10.3.4. Step 4: Superiority and Inferiority Flows
- 10.3.5. Step 5: Ranking the Set of Feasible Alternatives
- 10.4. Conclusion
- References
- 11. PAPRIKA
- 11.1. Introduction
- 11.2. Stepwise Description of PAPRIKA
- 11.2.1. Step 1: Defining the Decision-Making Problem
- 11.2.2. Step 2: Identifying the Nondominated Pairs of Alternative
- 11.2.3. Step 3: Ranking the Pairs of Nondominated Solutions
- 11.2.4. Step 4: Calculating the Complete Ranking of Alternatives
- 11.3. Conclusion
- References
- 12. Gray Relational Analysis
- 12.1. Introduction
- 12.2. Gray System Theory: The Foundation and Basic Principles
- 12.3. Gray Relational Modeling
- 12.4. Gray Theory in Relation to MADM
- 12.5. Conclusion
- References
- A. Weight Assignment Approaches
- A.1. Subjective Approach: Weighted Least Squares
- A.2. Objective Approach: Multiobjective Programming Model
- References
- B. Benchmark Example and a Comparison between Objective- and Subjective-Based MADM Methods
- References.