Fuzzy Topsis: Logic, Approaches, and Case Studies

Cover
Half Title
Title Page
Copyright Page
Contents
Preface
Author
Introduction
	References
1. Uncertainty
	Ambiguity and Vagueness
	Uncertainty in Exact Sciences
	Uncertainty Causes
	Information Types
	Uncertainty Theories
	Conclusion
	References
2. Nonclassical Logics
	Limits of Classical Logic
	Multivalued Logics
	Trivalent Logics
		Łukasiewicz\'s Trivalent Logic
		Kleene\'s Trivalent Logic
		Bochvar\'s Trivalent Logic
	N-Valued Logics (N > 2)
	Other Nonclassical Logics: Quantum Mechanics
	Reasons for Rejection
	Conclusion
	References
3. Fuzzy Logic
	Introduction
	Definitions
	Extensions
		Ranking
	Conclusion
	References
4. Frequently Used Multicriteria Decision-Making Methods
	Introduction
	Weighted Sum and Weighted Product
	Analytic Hierarchy Process
	ELECTRE
	PROMETHEE
	VIKOR
	Conclusion
	References
5. TOPSIS Methodology and Limits
	Initial Approach
	MATLAB Implementation
	Rank Reversal
	Ideal Solutions
	Normalization
	Distance or Metric Used
	Conclusion
	References
6. Fuzzy TOPSIS
	Negi\'s Approach
		The Approach
		Example
	Chen\'s Approach
		The Approach
		Example
		MATLAB Algorithm
	Algorithm Components
		Ideal Solutions
		Aggregation
		Normalization
		Distances
		Combinations
	Other Limitations
	Consensus
		The Approach
			Example
	Proposed Fuzzy TOPSIS Algorithm
		The Approach
		Example
	Interval Type 2 Fuzzy TOPSIS
		The Approach
		Example
	Conclusion
	References
7. Intuitionistic Fuzzy TOPSIS
	Introduction
	Information Integration
	Aggregation Functions
		Compromise Operators
		Conjunctive Operators
		Disjunctive Operators
		Mixed Operators
	Intuitionistic Fuzzy Aggregation Operators
	Intuitionistic Fuzzy Distances
	Intuitionistic Fuzzy Consensus
	Some Intuitionistic Fuzzy TOPSIS Extensions
	Resolution Algorithm
		The Approach
		Example
	Continuous Consensual Intuitionistic Fuzzy TOPSIS
		The Approach
		Example
	Unknown Attribute Weights
		The Approach
		Example
	Conclusion
	References
8. Other Fuzzy TOPSIS Approaches
	Pythagorean Fuzzy Sets
		A Simple Consensus
		Pythagorean Fuzzy TOPSIS
		Proposed Algorithm
		Example
	Neutrosophic Sets
		Neutrosophic TOPSIS
		Proposed Algorithm
		Example
	Hesitant Fuzzy Sets
	Conclusion
	References
Index