A Novel Concept of Bipolar Fuzzy Sets in \(Bd\)-Algebras

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DOI: https://doi.org/10.28924/2291-8639-24-2026-253
Published: Aug 17, 2026
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Warud Nakkhasen, Nitipongsathon Chieblaem, Pakim Saenmuang, A Novel Concept of Bipolar Fuzzy Sets in \(Bd\)-Algebras, Int. J. Anal. Appl., 24 (2026), 253.

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Warud Nakkhasen, Nitipongsathon Chieblaem, Pakim Saenmuang

Abstract

In this paper, we introduce the concept of bipolar fuzzy \(Bd\)-subalgebras (BFBd-Subs) within the framework of \(Bd\)-algebras and examine their fundamental properties. We also provide a thorough analysis of the characterizations of BFBd-Subs, focusing on their structural behavior as revealed by level subsets. Additionally, the study investigates the algebraic properties of BFBd-Subs in relation to homomorphisms of \(Bd\)-algebras, identifying the conditions under which these structures are preserved.

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