John N. Mordeson, Davender S. Malik, Terry D. Clark

Application of Fuzzy Logic to Social Choice Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

Fuzzy social choice theory is useful for modeling the uncertainty and imprecision prevalent in social life yet it has been scarcely applied and studied in the social sciences. Filling this gap, this book provides a comprehensive study of fuzzy social choice theory. It focuses on Arrow's theorem, one of the most important discoveries in social theory. The authors show how Black's median voter theorem solves the Arrowian impossibility theorem by restricting preferences to single-peaked profiles. They also obtain Arrow-type results using an involutive fuzzy complement.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 352
• Erscheinungstermin: 3. März 2015
• Englisch
• ISBN-13: 9781482250992
• Artikelnr.: 42371644

Autorenporträt

Dr. John N. Mordeson is a professor of mathematics, the John N. Mordeson Endowed Chair in Mathematics, and the director of the Center for Mathematics of Uncertainty at Creighton University. Dr. Mordeson has published 15 books and nearly 200 journal articles. He is an editorial board member of numerous journals and the current president of the Society for Mathematics of Uncertainty. His research interests include coding theory, fuzzy automata theory, fuzzy information retrieval, and fuzzy cluster analysis.

Dr. Davender S. Malik is a professor of mathematics at Creighton University. His research interests include algebra, fuzzy automata theory, and fuzzy logic. Dr. Malik has published 17 books and more than 50 papers.

Dr. Terry D. Clark is a professor of political science and the director of the graduate program in international relations at Creighton University. Dr. Clark has published four books and numerous journal articles. His research interests include fuzzy math spatial modeling, comparative politics, international relations, social network analysis, and intelligence analysis.

Inhaltsangabe

Fuzzy Maximal Subsets. 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. Rationality.
Arrow-Type Results under Intuitionistic Fuzzy Preferences. Manipulability
of Fuzzy Social Choice Functions. Similarity of Fuzzy Choice Functions.
Index.