On (\(\in , \in \vee q\))-fuzzy filters of pseudo-BL algebras (Q2655429)

The aim of this paper is to introduce the notion of \((\in ,\in \vee q)\)-fuzzy filters in pseudo-BL algebras and to investigate some of their properties. Further, the notions of \((\in ,\in \vee q)\)-fuzzy (implicative, MV- and \(G\)-) filters in pseudo-BL algebras are introduced and the relationship among these generalized fuzzy filters of pseudo-BL algebras are investigated. Also, the authors consider the concept of implication-based fuzzy implicative filters of pseudo-BL algebras, in particular, the implication operators in the Łukasiewicz system of continuous-valued logic are discussed.