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Application of fuzzy logic to social choice theory /

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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 famo...

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Bibliographic Details
Main Authors: Mordeson, John N. (Author), Malik, D. S. (Author), Clark, Terry D. (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton : CRC Press, Taylor & Francis Group, [2015]
Series:Monographs and research notes in mathematics.
Subjects:
Fuzzy decision making.
Social choice > Mathematical models.
Set theory.
Prise de décision floue.
Choix collectif > Modèles mathématiques.
Théorie des ensembles.
MATHEMATICS > Applied.
MATHEMATICS > Probability & Statistics > General.
Fuzzy decision making
Set theory
Social choice > Mathematical models
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:"A Chapman Hall book."
Physical Description:1 online resource (xi, 340 pages)
Bibliography:Includes bibliographical references and index.
ISBN:9781482250992
1482250993
1482250985
9781482250985
9781336030169
133603016X