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Alqahtany, Manal Abdullah
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Mathematics

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Bipolar Fuzzy Filters in BL-Algebras Alqahtany, Manal Abdullah; Dale, Tanisha Bhagwan
Journal of the Indonesian Mathematical Society Vol. 31 No. 3 (2025): SEPTEMBER
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i3.1821

Abstract

This research introduces and examines the novel concept of filters in BL-algebras constructed upon bipolar fuzzy structures. Specifically, we present the formulation of bipolar fuzzy filters (BFFs) within the context of BL-algebras and conduct a comprehensive investigation of their associated properties. This work extends the traditional notion of filters in BL-algebras by incorporating the bipolarity aspect of fuzzy logic, thereby providing a more nuanced framework for analyzing logical structures. Our study not only establishes the fundamental definitions but also explores the theoretical implications and characteristics of these bipolar fuzzy filters, contributing to the broader understanding of many-valued logic systems and their algebraic representations.
Co-Authors Dale, Tanisha Bhagwan