{"title":"策略操纵与模糊偏好关系的规则分解","authors":"O. Meddeb, F. Ben Abdelaziz, J. Figueira","doi":"10.1109/IEMCE.2008.4617964","DOIUrl":null,"url":null,"abstract":"Ben Abdelaziz et al. (2008) have shown that any non-dictatorial fuzzy social choice function is vulnerable to strategic manipulation, when individuals express their preferences trough fuzzy weak relations on the set of alternatives. This paper proposes a new definition of fuzzy manipulability and dictatorship of fuzzy social choice functions. For this purpose, the decomposition of fuzzy weak relations in terms of symmetric and regular components is considered and a parallel result is provided. The proof is done by induction on the number of individuals.","PeriodicalId":408691,"journal":{"name":"2008 IEEE International Engineering Management Conference","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Strategic manipulation and regular decomposition of fuzzy preference relations\",\"authors\":\"O. Meddeb, F. Ben Abdelaziz, J. Figueira\",\"doi\":\"10.1109/IEMCE.2008.4617964\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Ben Abdelaziz et al. (2008) have shown that any non-dictatorial fuzzy social choice function is vulnerable to strategic manipulation, when individuals express their preferences trough fuzzy weak relations on the set of alternatives. This paper proposes a new definition of fuzzy manipulability and dictatorship of fuzzy social choice functions. For this purpose, the decomposition of fuzzy weak relations in terms of symmetric and regular components is considered and a parallel result is provided. The proof is done by induction on the number of individuals.\",\"PeriodicalId\":408691,\"journal\":{\"name\":\"2008 IEEE International Engineering Management Conference\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 IEEE International Engineering Management Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IEMCE.2008.4617964\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 IEEE International Engineering Management Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IEMCE.2008.4617964","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
Ben Abdelaziz等人(2008)表明，当个体通过备选集合上的模糊弱关系表达自己的偏好时，任何非独裁模糊社会选择函数都容易受到战略操纵。本文提出了模糊社会选择函数的模糊可操纵性和专政性的新定义。为此，考虑了模糊弱关系在对称分量和正则分量上的分解，并给出了一个并行结果。证明是通过对个体数量的归纳法完成的。
Strategic manipulation and regular decomposition of fuzzy preference relations
Ben Abdelaziz et al. (2008) have shown that any non-dictatorial fuzzy social choice function is vulnerable to strategic manipulation, when individuals express their preferences trough fuzzy weak relations on the set of alternatives. This paper proposes a new definition of fuzzy manipulability and dictatorship of fuzzy social choice functions. For this purpose, the decomposition of fuzzy weak relations in terms of symmetric and regular components is considered and a parallel result is provided. The proof is done by induction on the number of individuals.
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