Bipolar Fuzzy n-Fold Positive Implicative and Fantastic Filters in Hoop Algebras with Applications to Fuzzy Logic
Makaleler > Tam Makale · 2026
Yazarlar: Hashem Bordbar, Tahsin Oner, Neelamegarajan Rajesh, Ravikumar Bandaru, Firat Ates
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, Uluslararası, Wos, 2026, cilt 34, ss 77-99
Özet
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.