Bipolar Fuzzy Quasi-Ideals in Γ-Semirings: A Study

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DOI: https://doi.org/10.28924/2291-8639-23-2025-5
Published: Jan 2, 2025
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Madhulatha Parvatham, Yella Bhargavi, Aiyared Iampan, Bipolar Fuzzy Quasi-Ideals in Γ-Semirings: A Study, Int. J. Anal. Appl., 23 (2025), 5.

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Madhulatha Parvatham, Yella Bhargavi, Aiyared Iampan

Abstract

This paper investigates bipolar fuzzy quasi-ideals in the context of Γ-semirings, offering new insights into their structural properties. Our results reveal that bipolar fuzzy quasi-ideals serve as a generalization of bipolar fuzzy ideals, while bipolar fuzzy bi-ideals extend this framework further. We also establish that in regular Γ-semirings, the two concepts coincide, leading to a unified interpretation. Notably, the intersection of a bipolar fuzzy right ideal and a bipolar fuzzy left ideal forms a bipolar fuzzy quasi-ideal, highlighting key properties that deepen our understanding of ideal structures in Γ-semirings.

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