{"title":"构造阿基米德三角模的算子","authors":"R. Vorobel","doi":"10.31713/mcit.2019.21","DOIUrl":null,"url":null,"abstract":"Triangular norms and associative functions arebase of connectives in fuzzy logic and fuzzy systems. Newconnective operator that can generate different classes of fuzzyconnectives is proposed. It is proved that this operator satisfiesthe requirements of such axioms as commutativity, associativity,monotonicity and boundary conditions. It is parameterized andtherefore new triangular norms are obtained. Constructedparameterized triangular norms are of a strict and Archimediantype.","PeriodicalId":275585,"journal":{"name":"Modeling, Control and Information Technologies","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Operator for Construction of Archimedian Triangular Norms\",\"authors\":\"R. Vorobel\",\"doi\":\"10.31713/mcit.2019.21\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Triangular norms and associative functions arebase of connectives in fuzzy logic and fuzzy systems. Newconnective operator that can generate different classes of fuzzyconnectives is proposed. It is proved that this operator satisfiesthe requirements of such axioms as commutativity, associativity,monotonicity and boundary conditions. It is parameterized andtherefore new triangular norms are obtained. Constructedparameterized triangular norms are of a strict and Archimediantype.\",\"PeriodicalId\":275585,\"journal\":{\"name\":\"Modeling, Control and Information Technologies\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-11-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Modeling, Control and Information Technologies\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31713/mcit.2019.21\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modeling, Control and Information Technologies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31713/mcit.2019.21","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Operator for Construction of Archimedian Triangular Norms
Triangular norms and associative functions arebase of connectives in fuzzy logic and fuzzy systems. Newconnective operator that can generate different classes of fuzzyconnectives is proposed. It is proved that this operator satisfiesthe requirements of such axioms as commutativity, associativity,monotonicity and boundary conditions. It is parameterized andtherefore new triangular norms are obtained. Constructedparameterized triangular norms are of a strict and Archimediantype.
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