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Fuzzy Social Choice Theory - Wierman, Mark J.;Mordeson, John N.;Clark, Terry D.
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Wierman, Mark J.;Mordeson, John N.;Clark, Terry D.:

Fuzzy Social Choice Theory - Paperback

2016, ISBN: 9783319356716

[ED: Softcover], [PU: Springer / Springer International Publishing / Springer, Berlin], This book offers a comprehensive analysis of the social choice literature and shows, by applying fu… More...

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Fuzzy Social Choice Theory - Michael B. Gibilisco
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Michael B. Gibilisco:

Fuzzy Social Choice Theory - Paperback

2016, ISBN: 3319356712

[EAN: 9783319356716], Neubuch, [SC: 0.0], [PU: Springer International Publishing], FUZZYMAXIMALSET; FUZZYSPATIALMODEL; FUZZYWEAKPREFERENCE; GROUPDECISIONMAKING; INDIVIDUALPREFERENCE; SOCI… More...

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Fuzzy Social Choice Theory (Studies in Fuzziness and Soft Computing, Band 315) - B. Gibilisco, Michael B.
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B. Gibilisco, Michael B.:
Fuzzy Social Choice Theory (Studies in Fuzziness and Soft Computing, Band 315) - Paperback

2016

ISBN: 9783319356716

Mitwirkende: M. Gowen, Annie, Mitwirkende: E. Albert, Karen, Mitwirkende: N. Mordeson, John, Mitwirkende: J. Wierman, Mark, Mitwirkende: D. Clark, Terry, Springer, Taschenbuch, Auflage: S… More...

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Fuzzy Social Choice Theory - B. Gibilisco, Michael; M. Gowen, Annie; D. Clark, Terry; N. Mordeson, John; J. Wierman, Mark; E. Albert, Karen
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B. Gibilisco, Michael; M. Gowen, Annie; D. Clark, Terry; N. Mordeson, John; J. Wierman, Mark; E. Albert, Karen:
Fuzzy Social Choice Theory - Paperback

2016, ISBN: 3319356712

Softcover reprint of the original 1st ed. 2014 Kartoniert / Broschiert Angewandte Mathematik, Künstliche Intelligenz, Fuzzymaximalset; Fuzzyspatialmodel; Fuzzyweakpreference; Groupdecis… More...

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Fuzzy Social Choice Theory - Michael B. Gibilisco/ Terry D. Clark/ Karen E. Albert/ Mark J. Wierman/ Annie M. Gowen
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Michael B. Gibilisco/ Terry D. Clark/ Karen E. Albert/ Mark J. Wierman/ Annie M. Gowen:
Fuzzy Social Choice Theory - Paperback

2014, ISBN: 9783319356716

*Fuzzy Social Choice Theory* - Softcover reprint of the original 1st ed. 2014 / Taschenbuch für 106.99 € / Aus dem Bereich: Bücher, Wissenschaft, Technik Medien > Bücher nein Buch (karton… More...

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Fuzzy Social Choice Theory (Studies in Fuzziness and Soft Computing, Band 315)
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9783319356716

Details of the book - Fuzzy Social Choice Theory (Studies in Fuzziness and Soft Computing, Band 315)


EAN (ISBN-13): 9783319356716
ISBN (ISBN-10): 3319356712
Paperback
Publishing year: 2016
Publisher: Springer

Book in our database since 2016-11-01T21:28:34+00:00 (London)
Detail page last modified on 2024-02-05T15:00:53+00:00 (London)
ISBN/EAN: 9783319356716

ISBN - alternate spelling:
3-319-35671-2, 978-3-319-35671-6
Alternate spelling and related search-keywords:
Book author: gibili, michael mark, wier, mor michael, albert michael, mark terry, john clark

Information from Publisher

Author: Michael B. Gibilisco; Annie M. Gowen; Karen E. Albert; John N. Mordeson; Mark J. Wierman; Terry D. Clark
Title: Studies in Fuzziness and Soft Computing; Fuzzy Social Choice Theory
Publisher: Springer; Springer International Publishing
185 Pages
Publishing year: 2016-09-03
Cham; CH
Printed / Made in
Language: English
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
XVIII, 185 p. 7 illus.

BC; Hardcover, Softcover / Technik/Allgemeines, Lexika; Künstliche Intelligenz; Verstehen; Fuzzy maximal set; Fuzzy spatial model; Fuzzy weak preference; Group decision making; Individual preference; Social choice theorem; Social preference relation; Strategy-proof choice function; Computational Intelligence; Political Theory; Mathematics in the Humanities and Social Sciences; Politikwissenschaft und politische Theorie; Angewandte Mathematik; BB

This book offers a comprehensive analysis of the social choice literature and shows, by applying fuzzy sets, how the use of fuzzy preferences, rather than that of strict ones, may affect the social choice theorems. To do this, the book explores the presupposition of rationality within the fuzzy framework and shows that the two conditions for rationality, completeness and transitivity, do exist with fuzzy preferences. Specifically, this book examines: the conditions under which a maximal set exists; the Arrow’s theorem; the Gibbard-Satterthwaite theorem and the median voter theorem. After showing that a non-empty maximal set does exists for fuzzy preference relations, this book goes on to demonstrating the existence of a fuzzy aggregation rule satisfying all five Arrowian conditions, including non-dictatorship. While the Gibbard-Satterthwaite theorem only considers individual fuzzy preferences, this work shows that both individuals and groups can choose alternatives to various degrees, resulting in a social choice that can be both strategy-proof and non-dictatorial. Moreover, the median voter theorem is shown to hold under strict fuzzy preferences but not under weak fuzzy preferences. By providing a standard model of fuzzy social choice and by drawing the necessary connections between the major theorems, this book fills an important gap in the current literature and encourages future empirical research in the field.

Fuzzy Social Choice.- Classical Social Choice Theorems.- Rationality of Fuzzy Preferences.- Arrow and the Aggregation of Fuzzy Preferences.- Characteristics of Strategy-Proof Fuzzy Social Choice.- Fuzzy Black’s Median Voter Theorem.- Representing Thick Indifference in Spatial Models.- Conclusion.

This book offers a comprehensive analysis of the social choice literature and shows, by applying fuzzy sets, how the use of fuzzy preferences, rather than that of strict ones, may affect the social choice theorems. To do this, the book explores the presupposition of rationality within the fuzzy framework and shows that the two conditions for rationality, completeness and transitivity, do exist with fuzzy preferences. Specifically, this book examines: the conditions under which a maximal set exists; the Arrow’s theorem;  the Gibbard-Satterthwaite theorem; and the median voter theorem.  After showing that a non-empty maximal set does exists for fuzzy preference relations, this book goes on to demonstrating the existence of a fuzzy aggregation rule satisfying all five Arrowian conditions, including non-dictatorship. While the Gibbard-Satterthwaite theorem only considers individual fuzzy preferences, this work shows that both individuals and groups can choose alternatives to various degrees, resulting in a social choice that can be both strategy-proof and non-dictatorial. Moreover, the median voter theorem is shown to hold under strict fuzzy preferences,  but not under weak fuzzy preferences. By providing a standard model of fuzzy social choice and by drawing the necessary connections between the major theorems,  this book fills an important gap in the current literature and encourages future empirical research in the field.


Presents a comprehensive analysis of fuzzy set theoretic models of social choice Paves the way for the development of a fuzzy social choice theory Includes applications of the described theory and encourage future empirical research in the field
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