{"title":"输入符号上唯一隶属度跃迁的直觉模糊有限自动机中的直觉模糊半群","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":"{\"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}","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}
Intuitionistic Fuzzy Monoids in an Intuitionistic Fuzzy Finite Automaton with Unique Membership Transition on an Input Symbol
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.
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