{"title":"模糊逻辑的蕴涵与推理","authors":"L. Godo, L. Valverde","doi":"10.1109/FUZZY.1992.258728","DOIUrl":null,"url":null,"abstract":"Within the framework of fuzzy logic, the notion of semantic entailment and its relationship with inference is analysed. In particular, the case of conditional statements modeled through fuzzy preorders is considered. The main results exhibit a strong relationship between the notions of entailment and implication, driven by the pointwise order of the unit interval In the case of R-implications, and by suitable modifications of this order, in the case of general fuzzy preorders.<<ETX>>","PeriodicalId":222263,"journal":{"name":"[1992 Proceedings] IEEE International Conference on Fuzzy Systems","volume":"40 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Entailment and inference in fuzzy logic using fuzzy preorders\",\"authors\":\"L. Godo, L. Valverde\",\"doi\":\"10.1109/FUZZY.1992.258728\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Within the framework of fuzzy logic, the notion of semantic entailment and its relationship with inference is analysed. In particular, the case of conditional statements modeled through fuzzy preorders is considered. The main results exhibit a strong relationship between the notions of entailment and implication, driven by the pointwise order of the unit interval In the case of R-implications, and by suitable modifications of this order, in the case of general fuzzy preorders.<<ETX>>\",\"PeriodicalId\":222263,\"journal\":{\"name\":\"[1992 Proceedings] IEEE International Conference on Fuzzy Systems\",\"volume\":\"40 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-03-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1992 Proceedings] IEEE International Conference on Fuzzy Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FUZZY.1992.258728\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1992 Proceedings] IEEE International Conference on Fuzzy Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FUZZY.1992.258728","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Entailment and inference in fuzzy logic using fuzzy preorders
Within the framework of fuzzy logic, the notion of semantic entailment and its relationship with inference is analysed. In particular, the case of conditional statements modeled through fuzzy preorders is considered. The main results exhibit a strong relationship between the notions of entailment and implication, driven by the pointwise order of the unit interval In the case of R-implications, and by suitable modifications of this order, in the case of general fuzzy preorders.<>