On (\(\in,\in \vee q\))-fuzzy filters of BL-algebras
In this paper, the authors give the notions of \((\in ,\in \vee q)\)-fuzzy Boolean (implicative; positive implicative and fantastic) filters in BL-algebras and investigate some related properties. Some characterizations of these generalized fuzzy filters are derived. Finally, they discuss the relations among these generalized fuzzy filters and prove that an interval-valued \((\in ,\in \vee q)\)-fuzzy filter of a BL-algebra is Boolean (implicative) if and only if it is both positive implicative and fantastic.
scientific article; zbMATH DE number 5620234