Nora A. Angelova, K. Čunderlíková, E. Szmidt, K. Atanassov
{"title":"Intuitionistic fuzzy interpretations of formula (A → B) → ((¬A → B) → B)","authors":"Nora A. Angelova, K. Čunderlíková, E. Szmidt, K. Atanassov","doi":"10.7546/nifs.2022.28.4.428-435","DOIUrl":null,"url":null,"abstract":"One of the essential formulas of the classical mathematical logic is (A → B) → ((¬A → B) → B). In the present paper, its intuitionistic fuzzy interpretation is introduced, and lists of all defined intuitionistic fuzzy implications that satisfy it as a tautology and an intuitionistic fuzzy tautology are given.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notes on Intuitionistic Fuzzy Sets","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/nifs.2022.28.4.428-435","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
One of the essential formulas of the classical mathematical logic is (A → B) → ((¬A → B) → B). In the present paper, its intuitionistic fuzzy interpretation is introduced, and lists of all defined intuitionistic fuzzy implications that satisfy it as a tautology and an intuitionistic fuzzy tautology are given.