Mordeson / Malik / Clark Application of Fuzzy Logic to Social Choice Theory

Erscheinungsjahr 2015
ISBN: 978-1-4822-5099-2
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 352 Seiten

Reihe: Monographs and Research Notes in Mathematics

This is one of the first books to apply fuzzy logic to social choice theory. The book first discusses the rationalization of choice functions and the factorization of fuzzy preference relations. It then covers various solution sets used with the problem of cycling. It also explores Arrow’s famous impossibility theorem, Black’s median voter theorem, and the Gibbard-Satterthwaite theorem. The book concludes with the implications of intuitionistic fuzzy set logic for Arrow's impossibility theorem.

Zielgruppe

Professionals and students of mathematics, political science, and computer science interested in social choice theory, fuzzy logic, and spatial models.

Autoren/Hrsg.

Mordeson, John N.

Malik, Davender S.

Clark, Terry D.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Mengenlehre

Inhaltsverzeichnis

Fuzzy Choice Functions. Factorization of Fuzzy Preference Relations. Fuzzy Non-Arrow Results. Fuzzy Arrow’s Theorem. Single-Peaked Fuzzy Preferences: Black’s Median Voter Theorem. On Choosing Rationality When Preferences Are Fuzzy. Arrow-Type Results under Intuitionistic Fuzzy Preferences. Strategy-Proof Fuzzy Social Choice Functions. Similarity of Fuzzy Choice Functions.