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

Authors

  • Pannawit Khramrot Department of Mathematics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna of Phitsanulok, Thailand
  • Natthinee Deetae Department of Statistics, Faculty of Science and Technology, Pibulsongkram Rajabhat University, Phitsanulok, Thailand
  • Thiti Gaketem Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand https://orcid.org/0000-0002-6267-8517

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5854

Keywords:

cubic bipolar fuzzy ideal, weakly regular semigroup

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. 

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Mathematical and Fuzzy Logic

License

Copyright (c) 2025 Pannawit Khramrot, Natthinee Deetae, Thiti Gaketem

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How to Cite

On Weakly Regular Semigroups Characterized in Terms of Cubic Bipolar Fuzzy Ideals. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5854. https://doi.org/10.29020/nybg.ejpam.v18i2.5854