{"title":"模糊逼近算子的公理化表征。2基于粗糙模糊集的情况","authors":"H. Thiele","doi":"10.1109/ISMVL.2001.924592","DOIUrl":null,"url":null,"abstract":"In two previous papers we have developed axiomatic characterizations of approximation operators which are defined by the classical diamond and box operator of the modal logic on the one hand and are defined by the \"fuzzified\" diamond and box operator in applying to crisp sets, i.e. by using the concept of fuzzy rough sets on the other hand. The paper presented is a continuation of the first paper mentioned above by applying the classical diamond and box operators to fuzzy sets, i.e. by using the concepts of rough fuzzy sets.","PeriodicalId":297353,"journal":{"name":"Proceedings 31st IEEE International Symposium on Multiple-Valued Logic","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"67","resultStr":"{\"title\":\"On axiomatic characterization of fuzzy approximation operators. II. The rough fuzzy set based case\",\"authors\":\"H. Thiele\",\"doi\":\"10.1109/ISMVL.2001.924592\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In two previous papers we have developed axiomatic characterizations of approximation operators which are defined by the classical diamond and box operator of the modal logic on the one hand and are defined by the \\\"fuzzified\\\" diamond and box operator in applying to crisp sets, i.e. by using the concept of fuzzy rough sets on the other hand. The paper presented is a continuation of the first paper mentioned above by applying the classical diamond and box operators to fuzzy sets, i.e. by using the concepts of rough fuzzy sets.\",\"PeriodicalId\":297353,\"journal\":{\"name\":\"Proceedings 31st IEEE International Symposium on Multiple-Valued Logic\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-05-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"67\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 31st IEEE International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2001.924592\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 31st IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2001.924592","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On axiomatic characterization of fuzzy approximation operators. II. The rough fuzzy set based case
In two previous papers we have developed axiomatic characterizations of approximation operators which are defined by the classical diamond and box operator of the modal logic on the one hand and are defined by the "fuzzified" diamond and box operator in applying to crisp sets, i.e. by using the concept of fuzzy rough sets on the other hand. The paper presented is a continuation of the first paper mentioned above by applying the classical diamond and box operators to fuzzy sets, i.e. by using the concepts of rough fuzzy sets.
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