Regular ternary semirings in terms of bipolar fuzzy ideals
type: Item
instance of: scholarly article
title: Regular ternary semirings in terms of bipolar fuzzy ideals
zbMATH Open document ID: 1472.20146
author: Shahida Bashir
author: Rabia Mazhar
author: Hasnain Abbas
author: Muhammad Shabir
published in: Computational and Applied Mathematics
publication date: 2021-05-28T00:00:00Z
review text: The central objective of this paper is to introduce $(\alpha,\beta)$-bipolar fuzzy ideals (left, lateral and right) and bi-ideals in ternary semirings by applying the definitions of belongingness $(\epsilon)$ and quasi-coincidence $(q)$ of a bipolar fuzzy point with a bipolar fuzzy set. In this work, upper parts and lower parts of bipolar fuzzy set in ternary semirings are also discussed. Regular and intra-regular ternary semirings in terms of $(\epsilon,\epsilon\vee q)$-bipolar fuzzy (left, lateral and right) ideals and $(\epsilon,\epsilon\vee q)$-bipolar fuzzy bi-ideals are characterized. This paper generalizes some ideals to bipolar fuzzy ideals in semirings. All results are typical.
reviewed by: Jianming Zhan
Mathematics Subject Classification ID: 20N10
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 16Y60
zbMATH DE Number: 7351814
zbMATH Keywords: ternary semiring
zbMATH Keywords: \((\alpha, \beta)\)-bipolar fuzzy subsemirings
zbMATH Keywords: \((\alpha, \beta)\)-bipolar fuzzy ideals
zbMATH Keywords: regular and intra-regular ternary semiring
MaRDI profile type: Publication
full work available at URL: s40314-020-01319-z
OpenAlex ID: W3099339914
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DOI: 10.1007/S40314-020-01319-Z
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description: scientific article; zbMATH DE number 7351814