| 书目名称 | Fuzzy Social Choice Theory |
| 编辑 | Michael B. Gibilisco,Annie M. Gowen,Terry D. Clark |
| 视频video | http://file.papertrans.cn/352/351377/351377.mp4 |
| 概述 | 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 enc |
| 丛书名称 | Studies in Fuzziness and Soft Computing |
| 图书封面 |  |
| 描述 | .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 preferenc |
| 出版日期 | Book 2014 |
| 关键词 | Fuzzy maximal set; Fuzzy spatial model; Fuzzy weak preference; Group decision making; Individual prefere |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-05176-5 |
| isbn_softcover | 978-3-319-35671-6 |
| isbn_ebook | 978-3-319-05176-5Series ISSN 1434-9922 Series E-ISSN 1860-0808 |
| issn_series | 1434-9922 |
| copyright | Springer International Publishing Switzerland 2014 |
|Archiver|手机版|小黑屋|
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