On Weakly Regular Semigroups Characterized in Terms of Cubic Bipolar Fuzzy Ideals

In this paper, we introduce the concept of cubic bipolar fuzzy subsemigroups and cubic bipolar fuzzy ideals in the context of semigroups. We explore their fundamental properties and examine how these structures interact within semigroups. The main thing this study adds is a way to describe weakly regular semigroups using the features of cubic bipolar fuzzy ideals. Through a detailed analysis, we establish several key results that highlight the role of these fuzzy ideals in understanding the algebraic structure of weakly regular semigroups.

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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2025-05-01
DOI
https://doi.org/10.29020/nybg.ejpam.v18i2.5854
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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article

On Weakly Regular Semigroups Characterized in Terms of Cubic Bipolar Fuzzy Ideals

Natthinee Deetae, Thiti Gaketem, Pannawit Khramrot
European Journal of Pure and Applied Mathematics
Fuzzy and Soft Set Theory
article

On Weakly Regular Semigroups Characterized in Terms of Cubic Bipolar Fuzzy Ideals

Natthinee Deetae, Thiti Gaketem, Pannawit Khramrot
article en

Abstract

In this paper, we introduce the concept of cubic bipolar fuzzy subsemigroups and cubic bipolar fuzzy ideals in the context of semigroups. We explore their fundamental properties and examine how these structures interact within semigroups. The main thing this study adds is a way to describe weakly regular semigroups using the features of cubic bipolar fuzzy ideals. Through a detailed analysis, we establish several key results that highlight the role of these fuzzy ideals in understanding the algebraic structure of weakly regular semigroups.

European Journal of Pure and Applied MathematicsVol. 18(2)
Pibulsongkram Rajabhat University (TH), University of Phayao (TH), Rajamangala University of Technology Lanna (TH)
Openalex Percentile: Top 90%
Fuzzy and Soft Set Theory
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On Weakly Regular Semigroups Characterized in Terms of Cubic Bipolar Fuzzy Ideals — Natthinee Deetae, Thiti Gaketem, et al. · European Journal of Pure and Applied Mathematics (2025) | TGRS Research Map | TGRS