{"title":"Intuitionistic Fuzzy Monoids in an Intuitionistic Fuzzy Finite Automaton with Unique Membership Transition on an Input Symbol","authors":"K. Jency Priya, T. Rajaretnam","doi":"10.7151/dmgaa.1397","DOIUrl":null,"url":null,"abstract":"Abstract An intuitionistic fuzzy finite state automaton assigns a membership and nonmembership values in which there is a unique membership transition on an input symbol (IFAUM) is considered. It is proved and illustrated the existence of two different intuitionistic fuzzy monoids F (𝒜) and S𝒜 from an intuitionistic fuzzy transition function of the given IFAUM 𝒜. Also it is proved that F (𝒜) and S𝒜 are anti-isomorphic as monoids.","PeriodicalId":36816,"journal":{"name":"Discussiones Mathematicae - General Algebra and Applications","volume":"42 1","pages":"383 - 394"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discussiones Mathematicae - General Algebra and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7151/dmgaa.1397","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract An intuitionistic fuzzy finite state automaton assigns a membership and nonmembership values in which there is a unique membership transition on an input symbol (IFAUM) is considered. It is proved and illustrated the existence of two different intuitionistic fuzzy monoids F (𝒜) and S𝒜 from an intuitionistic fuzzy transition function of the given IFAUM 𝒜. Also it is proved that F (𝒜) and S𝒜 are anti-isomorphic as monoids.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
