{"title":"基于t蕴涵算子的模糊形式上下文的公理化表征","authors":"Xiaoxue Song, Wenxiu Zhang","doi":"10.1109/ISCSCT.2008.218","DOIUrl":null,"url":null,"abstract":"In this paper, the fuzzy concept based on T-implication operators is studied by the axiomatic approach. An operators-oriented characterization of the fuzzy concept is proposed, that is, the fuzzy intent-extent operator and the fuzzy extent-intent operator based on T-implication operators are defined by axioms. The axiom sets of the fuzzy concept operators guarantee the existence of fuzzy relations which produce the same operators.","PeriodicalId":228533,"journal":{"name":"2008 International Symposium on Computer Science and Computational Technology","volume":"153 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Axiomatic Characterization of Fuzzy Formal Contexts Based on T-implication Operators\",\"authors\":\"Xiaoxue Song, Wenxiu Zhang\",\"doi\":\"10.1109/ISCSCT.2008.218\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the fuzzy concept based on T-implication operators is studied by the axiomatic approach. An operators-oriented characterization of the fuzzy concept is proposed, that is, the fuzzy intent-extent operator and the fuzzy extent-intent operator based on T-implication operators are defined by axioms. The axiom sets of the fuzzy concept operators guarantee the existence of fuzzy relations which produce the same operators.\",\"PeriodicalId\":228533,\"journal\":{\"name\":\"2008 International Symposium on Computer Science and Computational Technology\",\"volume\":\"153 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-12-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 International Symposium on Computer Science and Computational Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISCSCT.2008.218\",\"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 International Symposium on Computer Science and Computational Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISCSCT.2008.218","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Axiomatic Characterization of Fuzzy Formal Contexts Based on T-implication Operators
In this paper, the fuzzy concept based on T-implication operators is studied by the axiomatic approach. An operators-oriented characterization of the fuzzy concept is proposed, that is, the fuzzy intent-extent operator and the fuzzy extent-intent operator based on T-implication operators are defined by axioms. The axiom sets of the fuzzy concept operators guarantee the existence of fuzzy relations which produce the same operators.