{"title":"基于粗糙蕴涵运算和残馀的模糊逻辑系统","authors":"Xiao-hong ZHANG , Jian-hua DAI","doi":"10.1016/S1005-8885(13)60237-X","DOIUrl":null,"url":null,"abstract":"<div><p>Theories of fuzzy sets and rough sets are different and complementary generalizations of classical set theory, both of them are motivated by practical needs to manage and process uncertainty information. The aim of this paper is to study the relationship between fuzzy sets and rough sets from the view of logic. A new implication operation of rough sets is constructed, and the rough sets semantics of residuated based fuzzy logic system is presented.</p></div>","PeriodicalId":35359,"journal":{"name":"Journal of China Universities of Posts and Telecommunications","volume":"20 ","pages":"Pages 109-112"},"PeriodicalIF":0.0000,"publicationDate":"2013-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1005-8885(13)60237-X","citationCount":"2","resultStr":"{\"title\":\"Rough implication operation and residuated based fuzzy logic system\",\"authors\":\"Xiao-hong ZHANG , Jian-hua DAI\",\"doi\":\"10.1016/S1005-8885(13)60237-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Theories of fuzzy sets and rough sets are different and complementary generalizations of classical set theory, both of them are motivated by practical needs to manage and process uncertainty information. The aim of this paper is to study the relationship between fuzzy sets and rough sets from the view of logic. A new implication operation of rough sets is constructed, and the rough sets semantics of residuated based fuzzy logic system is presented.</p></div>\",\"PeriodicalId\":35359,\"journal\":{\"name\":\"Journal of China Universities of Posts and Telecommunications\",\"volume\":\"20 \",\"pages\":\"Pages 109-112\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S1005-8885(13)60237-X\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of China Universities of Posts and Telecommunications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S100588851360237X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Computer Science\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of China Universities of Posts and Telecommunications","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S100588851360237X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Computer Science","Score":null,"Total":0}
Rough implication operation and residuated based fuzzy logic system
Theories of fuzzy sets and rough sets are different and complementary generalizations of classical set theory, both of them are motivated by practical needs to manage and process uncertainty information. The aim of this paper is to study the relationship between fuzzy sets and rough sets from the view of logic. A new implication operation of rough sets is constructed, and the rough sets semantics of residuated based fuzzy logic system is presented.