Work

Bipolar Fuzzy n-Fold Positive Implicative and Fantastic Filters in Hoop Algebras with Applications to Fuzzy Logic

Year: 2026

Type: article

Abstract: In this paper, we introduce and study the notion of bipolar fuzzy n-fold positive implicative filters within the framework of hoop algebras, and examine their fundamental properties. We also define and investigate bipolar fuzzy n-fold fantastic filters , thereby extending bipolar fuzzy set theory into a multi-valued logical setting. In addition, we explore the relationships between bipolar fuzzy n -fold positive implicative filters and other related classes of bipolar fuzzy filters, including fuzzy n -fold implicative filters and bipolar fuzzy n -fold fantastic filters. This work offers a detailed analysis of the structural characteristics and interrelations among these filters, contributing to the broader development of non-classical algebraic logic and fuzzy systems. Several illustrative examples are provided to support and clarify the theoretical results.

Source: Analele Universităţii "Ovidius" Constanţa. Seria Matematică

DOI: 10.2478/auom-2026-0004

Authors: Hashem Bordbar, Tahsin Oner, Neelamegarajan Rajesh, Ravikumar Bandaru, Firat Ates

Institutions: University of Nova Gorica, Ege University, Rajah Serfoji Government College (Autonomous), VIT-AP University, Balıkesir University

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7154835645

FWCI:

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