{"title":"B代数中的多极直觉模糊正隐含理想","authors":"Royyan Amigo, Noor Hidayat, Vira Hari Krisnawati","doi":"10.18860/ca.v9i1.23164","DOIUrl":null,"url":null,"abstract":"In this paper, we start with the concept of B-algebras, commutative B-algebras and fuzzy ideal in B-algebras. We also study about multipolar intuitionistic fuzzy ideal. We explain the notion of multipolar intuitionistic fuzzy positive implicative ideal in B-algebras and some characterizes. In addition, we examine some theorems and proportions which contain the conditions for a multipolar intuitionistic fuzzy set become a multipolar intuitionistic fuzzy positive implicative ideal in B-algebras. One of the result is a multipolar intuitionistic fuzzy set (l,s) over commutative B-algebra X is a multipolar intuitionistic fuzzy positive implicative ideal (l,s) over commutative B-algebra X if and only if (x*y)*z=0 implies l(x)= Inf{l(y),l(z)} and s(x) = Sup{s(y),s(z)}, for all x,y,z.","PeriodicalId":388519,"journal":{"name":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","volume":"26 15","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Multipolar Intuitionistic Fuzzy Positive Implicative Ideal in B-Algebras\",\"authors\":\"Royyan Amigo, Noor Hidayat, Vira Hari Krisnawati\",\"doi\":\"10.18860/ca.v9i1.23164\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we start with the concept of B-algebras, commutative B-algebras and fuzzy ideal in B-algebras. We also study about multipolar intuitionistic fuzzy ideal. We explain the notion of multipolar intuitionistic fuzzy positive implicative ideal in B-algebras and some characterizes. In addition, we examine some theorems and proportions which contain the conditions for a multipolar intuitionistic fuzzy set become a multipolar intuitionistic fuzzy positive implicative ideal in B-algebras. One of the result is a multipolar intuitionistic fuzzy set (l,s) over commutative B-algebra X is a multipolar intuitionistic fuzzy positive implicative ideal (l,s) over commutative B-algebra X if and only if (x*y)*z=0 implies l(x)= Inf{l(y),l(z)} and s(x) = Sup{s(y),s(z)}, for all x,y,z.\",\"PeriodicalId\":388519,\"journal\":{\"name\":\"CAUCHY: Jurnal Matematika Murni dan Aplikasi\",\"volume\":\"26 15\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"CAUCHY: Jurnal Matematika Murni dan Aplikasi\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18860/ca.v9i1.23164\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"CAUCHY: Jurnal Matematika Murni dan Aplikasi","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18860/ca.v9i1.23164","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在本文中,我们首先介绍了 B 算法、交换 B 算法和 B 算法中的模糊理想的概念。我们还研究了多极直觉模糊理想。我们解释了 B 级中多极直觉模糊正蕴涵理想的概念和一些特征。此外,我们还研究了一些定理和比例,这些定理和比例包含了多极直觉模糊集成为 B-代数中的多极直觉模糊正蕴涵理想的条件。其中一个结果是,当且仅当 (x*y)*z=0 意味着 l(x)= Inf{l(y),l(z)} 和 s(x)= Sup{s(y),s(z)} 时,交换 B 代数 X 上的多极直觉模糊集 (l,s) 是交换 B 代数 X 上的多极直觉模糊正蕴涵理想 (l,s),对于所有 x,y,z。
Multipolar Intuitionistic Fuzzy Positive Implicative Ideal in B-Algebras
In this paper, we start with the concept of B-algebras, commutative B-algebras and fuzzy ideal in B-algebras. We also study about multipolar intuitionistic fuzzy ideal. We explain the notion of multipolar intuitionistic fuzzy positive implicative ideal in B-algebras and some characterizes. In addition, we examine some theorems and proportions which contain the conditions for a multipolar intuitionistic fuzzy set become a multipolar intuitionistic fuzzy positive implicative ideal in B-algebras. One of the result is a multipolar intuitionistic fuzzy set (l,s) over commutative B-algebra X is a multipolar intuitionistic fuzzy positive implicative ideal (l,s) over commutative B-algebra X if and only if (x*y)*z=0 implies l(x)= Inf{l(y),l(z)} and s(x) = Sup{s(y),s(z)}, for all x,y,z.