{"title":"The characterization of Wϕ-transitive rationality and acyclic rationality of fuzzy choice functions","authors":"Yonghua Hao, Xuzhu Wang, Caiping Wu, Na Xue","doi":"10.1109/PIC.2010.5687454","DOIUrl":null,"url":null,"abstract":"The objective of the paper is to extend Bandyopadhyay's results on rationality conditions of crisp choice functions. By fuzzifying the rationality conditions in the crisp case, we present a necessary and sufficient condition for the acyclic rationality and a characterization theorem for the Wϕ-transitive rationality under a strong De Morgan triple. As a result, some rationality characterizations in the crisp choice functions are generalized.","PeriodicalId":142910,"journal":{"name":"2010 IEEE International Conference on Progress in Informatics and Computing","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE International Conference on Progress in Informatics and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PIC.2010.5687454","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The objective of the paper is to extend Bandyopadhyay's results on rationality conditions of crisp choice functions. By fuzzifying the rationality conditions in the crisp case, we present a necessary and sufficient condition for the acyclic rationality and a characterization theorem for the Wϕ-transitive rationality under a strong De Morgan triple. As a result, some rationality characterizations in the crisp choice functions are generalized.
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