{"title":"模糊逻辑中条件的两个性质","authors":"E. Trillas, C. Alsina, I. García-Honrado","doi":"10.1109/FUZZY.2010.5584641","DOIUrl":null,"url":null,"abstract":"This paper deals with the classical properties of strengthening the antecedent, and weakening the consequent in fuzzy logic. Namely, it is studied in which algebras of fuzzy sets ([0, 1]X, T, S, N), and with which conditional functions J, these two properties do hold. It should be noticed that the cases in which the first property is not valid are examples of a non-monotonic conditional's behaviour.","PeriodicalId":377799,"journal":{"name":"International Conference on Fuzzy Systems","volume":"245 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On two properties of the conditional in fuzzy logic\",\"authors\":\"E. Trillas, C. Alsina, I. García-Honrado\",\"doi\":\"10.1109/FUZZY.2010.5584641\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the classical properties of strengthening the antecedent, and weakening the consequent in fuzzy logic. Namely, it is studied in which algebras of fuzzy sets ([0, 1]X, T, S, N), and with which conditional functions J, these two properties do hold. It should be noticed that the cases in which the first property is not valid are examples of a non-monotonic conditional's behaviour.\",\"PeriodicalId\":377799,\"journal\":{\"name\":\"International Conference on Fuzzy Systems\",\"volume\":\"245 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-07-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Conference on Fuzzy Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FUZZY.2010.5584641\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Conference on Fuzzy Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FUZZY.2010.5584641","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On two properties of the conditional in fuzzy logic
This paper deals with the classical properties of strengthening the antecedent, and weakening the consequent in fuzzy logic. Namely, it is studied in which algebras of fuzzy sets ([0, 1]X, T, S, N), and with which conditional functions J, these two properties do hold. It should be noticed that the cases in which the first property is not valid are examples of a non-monotonic conditional's behaviour.
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