m-Polar Fuzzy B-ideal of B-algebra

Cauchy Pub Date : 2023-11-15 DOI:10.18860/ca.v8i2.20694

Dian Kartika Amandani, Noor Hidayat, Abdul Rouf

{"title":"m-Polar Fuzzy B-ideal of B-algebra","authors":"Dian Kartika Amandani, Noor Hidayat, Abdul Rouf","doi":"10.18860/ca.v8i2.20694","DOIUrl":null,"url":null,"abstract":"B-algebra is an algebraic structure related to BCI/BCK-algebra. Many researchers have studied fuzzy B-ideal on B-algebra, m-polar fuzzy set on BCI-algebra and B-algebra, m-polar fuzzy subalgebra on BCI-algebra and B-algebra, m-polar fuzzy ideal on BCI-algebra, m-polar (∈,∈)-fuzzy p-ideal on BCI-algebra, m-polar (∈,∈)-fuzzy q-ideal on BCI-algebra, and m-polar (∈,∈)-fuzzy a-ideal on BCI-algebra. We build a new structure, namely m-polar (∈,∈)-fuzzy B-ideal on B-algebra. This research aims to extend the knowledge of m-polar fuzzy sets, which can be combined with other algebraic structures, besides BCI-algebra. In this study, we investigate and describe the properties of m-polar (∈,∈)-fuzzy B-ideal of B-algebra. We also investigate the connection among m-polar (∈,∈)-fuzzy B-ideal, m-polar fuzzy subalgebra, and m-polar fuzzy ideal. We serve a condition that causes an m-polar fuzzy ideal to become an m-polar (∈,∈)-fuzzy B-ideal. We also serve expansion properties of an m-polar (∈,∈)-fuzzy B-ideal. Futhermore, examples showing the modification of π_i formula are added. The properties of m-polar (∈,∈)-fuzzy B-ideal of B-algebra are obtained by combining and modifying the properties of m-polar (∈,∈)-fuzzy p-ideal, m-polar (∈,∈)-fuzzy q-ideal, and m-polar (∈,∈)-fuzzy a-ideal of BCI-algebra","PeriodicalId":475909,"journal":{"name":"Cauchy","volume":"3 9","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cauchy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18860/ca.v8i2.20694","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

B-algebra is an algebraic structure related to BCI/BCK-algebra. Many researchers have studied fuzzy B-ideal on B-algebra, m-polar fuzzy set on BCI-algebra and B-algebra, m-polar fuzzy subalgebra on BCI-algebra and B-algebra, m-polar fuzzy ideal on BCI-algebra, m-polar (∈,∈)-fuzzy p-ideal on BCI-algebra, m-polar (∈,∈)-fuzzy q-ideal on BCI-algebra, and m-polar (∈,∈)-fuzzy a-ideal on BCI-algebra. We build a new structure, namely m-polar (∈,∈)-fuzzy B-ideal on B-algebra. This research aims to extend the knowledge of m-polar fuzzy sets, which can be combined with other algebraic structures, besides BCI-algebra. In this study, we investigate and describe the properties of m-polar (∈,∈)-fuzzy B-ideal of B-algebra. We also investigate the connection among m-polar (∈,∈)-fuzzy B-ideal, m-polar fuzzy subalgebra, and m-polar fuzzy ideal. We serve a condition that causes an m-polar fuzzy ideal to become an m-polar (∈,∈)-fuzzy B-ideal. We also serve expansion properties of an m-polar (∈,∈)-fuzzy B-ideal. Futhermore, examples showing the modification of π_i formula are added. The properties of m-polar (∈,∈)-fuzzy B-ideal of B-algebra are obtained by combining and modifying the properties of m-polar (∈,∈)-fuzzy p-ideal, m-polar (∈,∈)-fuzzy q-ideal, and m-polar (∈,∈)-fuzzy a-ideal of BCI-algebra

查看原文本刊更多论文

b代数的m极模糊b理想

b代数是与BCI/ bck代数相关的代数结构。许多研究者研究了b -代数上的模糊b理想、bci -代数和b -代数上的m极模糊集、bci -代数和b -代数上的m极模糊子代数、bci -代数上的m极模糊理想、bci -代数上的m极(∈，∈)-模糊p理想、bci -代数上的m极(∈，∈)-模糊q理想、bci -代数上的m极(∈，∈)-模糊q理想、bci -代数上的m极(∈，∈)-模糊a理想。我们在b代数上构造了一个新的结构，即m极(∈，∈)-模糊b理想。本研究旨在扩展m极模糊集的知识，使其可以与bci -代数之外的其他代数结构相结合。本文研究并描述了b代数的m极(∈，∈)-模糊b理想的性质。我们还研究了m极(∈，∈)-模糊b理想、m极模糊子代数和m极模糊理想之间的联系。我们提供一个条件，使m极模糊理想变成m极(∈，∈)-模糊b理想。我们还给出了m极(∈，∈)-模糊b理想的展开性。并举例说明了π_i公式的修正。将bci -代数的m-极(∈，∈)-fuzzy p-理想、m-极(∈，∈)-fuzzy q-理想、m-极(∈，∈)-fuzzy a-理想的性质组合修改，得到b -代数的m-极(∈，∈)-fuzzy b -理想的性质

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Cauchy

自引率

0.00%

发文量