(∈,∈∨q˘)-Bipolar Fuzzy b-Ideals of BCK/BCI-Algebras

In this paper, the idea of ∈,∈∨q˘-bipolar fuzzy b-ideals and an ∈,∈∨q˘-bipolar fuzzy ideals of BCK/BCI-algebras is delivered, and their related properties are investigated with the aid of some examples. We also provide the connection between ∈,∈∨q˘-bipolar fuzzy ideals and bipolar fuzzy ideals and ∈...

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Main Authors: M. Mursaleen, M. Balamurugan, K. Loganathan, Kottakkaran Sooppy Nisar
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/6615288
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author M. Mursaleen
M. Balamurugan
K. Loganathan
Kottakkaran Sooppy Nisar
author_facet M. Mursaleen
M. Balamurugan
K. Loganathan
Kottakkaran Sooppy Nisar
author_sort M. Mursaleen
collection DOAJ
description In this paper, the idea of ∈,∈∨q˘-bipolar fuzzy b-ideals and an ∈,∈∨q˘-bipolar fuzzy ideals of BCK/BCI-algebras is delivered, and their related properties are investigated with the aid of some examples. We also provide the connection between ∈,∈∨q˘-bipolar fuzzy ideals and bipolar fuzzy ideals and ∈,∈∨q˘-bipolar fuzzy b-ideals and bipolar fuzzy b-ideals by way of counterexamples.
format Article
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publishDate 2021-01-01
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series Journal of Function Spaces
spelling doaj-art-265c178c7eac40efb506e774faacd5912025-08-20T02:04:26ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66152886615288(∈,∈∨q˘)-Bipolar Fuzzy b-Ideals of BCK/BCI-AlgebrasM. Mursaleen0M. Balamurugan1K. Loganathan2Kottakkaran Sooppy Nisar3Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, TaiwanDepartment of Mathematics, Sri Vidya Mandir Arts and Science College, Uthangarai, 636902 Tamil Nadu, IndiaResearch and Development Wing, Live4Research, Tiruppur, 638 106 Tamilnadu, IndiaDepartment of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Saudi ArabiaIn this paper, the idea of ∈,∈∨q˘-bipolar fuzzy b-ideals and an ∈,∈∨q˘-bipolar fuzzy ideals of BCK/BCI-algebras is delivered, and their related properties are investigated with the aid of some examples. We also provide the connection between ∈,∈∨q˘-bipolar fuzzy ideals and bipolar fuzzy ideals and ∈,∈∨q˘-bipolar fuzzy b-ideals and bipolar fuzzy b-ideals by way of counterexamples.http://dx.doi.org/10.1155/2021/6615288
spellingShingle M. Mursaleen
M. Balamurugan
K. Loganathan
Kottakkaran Sooppy Nisar
(∈,∈∨q˘)-Bipolar Fuzzy b-Ideals of BCK/BCI-Algebras
Journal of Function Spaces
title (∈,∈∨q˘)-Bipolar Fuzzy b-Ideals of BCK/BCI-Algebras
title_full (∈,∈∨q˘)-Bipolar Fuzzy b-Ideals of BCK/BCI-Algebras
title_fullStr (∈,∈∨q˘)-Bipolar Fuzzy b-Ideals of BCK/BCI-Algebras
title_full_unstemmed (∈,∈∨q˘)-Bipolar Fuzzy b-Ideals of BCK/BCI-Algebras
title_short (∈,∈∨q˘)-Bipolar Fuzzy b-Ideals of BCK/BCI-Algebras
title_sort ∈ ∈∨q˘ bipolar fuzzy b ideals of bck bci algebras
url http://dx.doi.org/10.1155/2021/6615288
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