Application of fuzzy logic to social choice theory. (2015)

• Record Type: Book
• Further Information: Note: John N. Mordeson, Davender S. Malik, Terry D. Clark.
• Authors: Mordeson, John N; Malik, D. S; Clark, Terry D (Terry Dee), 1951-
• Contents: Fuzzy Maximal Subsets; Fuzzy Set Theory; Fuzzy Maximal Sets Fuzzy Choice Functions ; Basic Properties; Consistency Conditions; M-Rationality and G-Rationality; Full Rationality of Fuzzy Choice Functions on Base Domain; Quasi-Transitive Rationality of Fuzzy Choice Functions; Full Rationality and Congruence Axioms of Fuzzy Choice Functions Factorization of Fuzzy Preference Relations ; Basic Definitions and Results; Quasi-Subtraction; Factorizations; Intuitionistic Fuzzy Relations; Intuitionistic Fuzzy Preference Relations and Their Factorization Fuzzy Non-Arrow Results ; Nondictatorial Fuzzy Aggregation Rules; Auxiliary Functions; Arrow’s Theorem and Max-Star Transitivity Fuzzy Arrow’s Theorem ; Dictatorial Fuzzy Preference Aggregation Rules; Representation Rules, Veto Players, Oligarchies, and Collegiums; Decisive Sets, Filters, and Fuzzy Arrow’s Theorem; Fuzzy Preferences and Social Choice; Fuzzy Preferences and Arrow-Type Problems; The Structure of Fuzzy Preferences: Social Choice Implications Single Peaked Fuzzy Preferences: Black’s Median Voter Theorem; Fuzzy Aggregation Preference Rules; Fuzzy Voting Rules; Single-Peaked Fuzzy Profiles; The Core in Fuzzy Spatial Models Rationality; Fuzzy Preference and Preference-Based Choice Functions; Fuzzy Choice Functions, Revealed Preference and Rationality Arrow-Type Results under Intuitionistic Fuzzy Preferences ; Fuzzy Preference Profiles and Fuzzy Aggregation Rules; IIA3 and Nondictatorial Fuzzy Aggregation Rules; IIA2, IIA4, and Fuzzy Arrow’s Theorem; Representation Rules, Veto Players, and Oligarchies; Fuzzy Preference and Arrowian Results; Intuitionistic Arrow’s Theorem and Gibbard’s Oligarchy Theorem Manipulability of Fuzzy Social Choice Functions ; Preliminaries; Fuzzy Social Choice Functions; Impossibility Results; Non-Manipulable Partitioning; Application Similarity of Fuzzy Choice Functions ; Fuzzy Choice Functions; Similarity of Fuzzy Choice Functions; Arrow Index of a Fuzzy Choice Function Index Exercises and References appear at the end of each chapter.
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2015
• Extent: 1 online resource
• Subjects: 302.1301511313; Rational choice theory -- Mathematical models; Fuzzy logic
• Languages: English
• ISBNs: 9781482250992
• Related ISBNs: 9781482250985
• Notes: Note: Description based on CIP data; item not viewed.
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