{"title":"基于模糊集框架的基数模糊量词","authors":"Dongping Gao, Jiahong Guo","doi":"10.1109/FSKD.2008.376","DOIUrl":null,"url":null,"abstract":"Cardinal fuzzy quantifiers are important quantifiers in fuzzy information processing. They are applied broadly in daily communications and practical reasoning with natural languages. In this article, a semantic analysis of cardinal fuzzy quantifiers is put forward and extended into fuzzy sets. We provide a formal semantics for cardinal fuzzy quantifiers under the framework of fuzzy sets. And some theorems of their properties, such as monotonicity, intersection and union properties, are proved. In the end, some valid inference schemas of them are discussed.","PeriodicalId":208332,"journal":{"name":"2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery","volume":"141 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Cardinal Fuzzy Quantifiers Based on the Framework of Fuzzy Sets\",\"authors\":\"Dongping Gao, Jiahong Guo\",\"doi\":\"10.1109/FSKD.2008.376\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Cardinal fuzzy quantifiers are important quantifiers in fuzzy information processing. They are applied broadly in daily communications and practical reasoning with natural languages. In this article, a semantic analysis of cardinal fuzzy quantifiers is put forward and extended into fuzzy sets. We provide a formal semantics for cardinal fuzzy quantifiers under the framework of fuzzy sets. And some theorems of their properties, such as monotonicity, intersection and union properties, are proved. In the end, some valid inference schemas of them are discussed.\",\"PeriodicalId\":208332,\"journal\":{\"name\":\"2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery\",\"volume\":\"141 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-10-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FSKD.2008.376\",\"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 Fifth International Conference on Fuzzy Systems and Knowledge Discovery","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FSKD.2008.376","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Cardinal Fuzzy Quantifiers Based on the Framework of Fuzzy Sets
Cardinal fuzzy quantifiers are important quantifiers in fuzzy information processing. They are applied broadly in daily communications and practical reasoning with natural languages. In this article, a semantic analysis of cardinal fuzzy quantifiers is put forward and extended into fuzzy sets. We provide a formal semantics for cardinal fuzzy quantifiers under the framework of fuzzy sets. And some theorems of their properties, such as monotonicity, intersection and union properties, are proved. In the end, some valid inference schemas of them are discussed.
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