| 書目名稱 | Fuzzy Social Choice Theory |
| 編輯 | Michael B. Gibilisco,Annie M. Gowen,Terry D. Clark |
| 視頻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 |
| 叢書名稱 | Studies in Fuzziness and Soft Computing |
| 圖書封面 |  |
| 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 |
| 關鍵詞 | 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|手機版|小黑屋|
派博傳思國際
( 京公網(wǎng)安備110108008328)
GMT+8, 2025-10-8 07:09
發(fā)表于 2025-3-21 19:03:42
