{"title":"模糊选择函数的wϕ传递合理性和无环合理性的表征","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":"{\"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}","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}
The characterization of Wϕ-transitive rationality and acyclic rationality of fuzzy choice functions
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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