Characterizations of Bipolar Fuzzy Bi-Interior Ideals in Gamma-Semirings

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DOI: https://doi.org/10.28924/2291-8639-24-2026-123
Published: Apr 20, 2026
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Madhulatha Parvatham, Yella Bhargavi, Venkata Kalyani Uppuluri, Aiyared Iampan, Characterizations of Bipolar Fuzzy Bi-Interior Ideals in Gamma-Semirings, Int. J. Anal. Appl., 24 (2026), 123.

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Madhulatha Parvatham, Yella Bhargavi, Venkata Kalyani Uppuluri, Aiyared Iampan

Abstract

This study investigates the structure of bipolar fuzzy bi-interior ideals (BFBII) within the framework of a Γ-semiring. The main objective is to explore and establish essential properties of BFBII, including conditions based on characteristic functions and level-set criteria. Furthermore, the research provides a comprehensive characterization of bipolar fuzzy bi-interior ideals by relating them to the bi-interior ideals of the underlying Γ-semiring, thereby offering deeper insights into their algebraic behavior and logical structure.

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