Folding Theory Applied to Fuzzy (Positive) Implicative (Pre)filters in EQ-Algebras

Abstract

In this paper, the concepts of fuzzy n-fold positive implicative and fuzzy n-fold implicative (pre)filters in EQ-algebras are introduced and several properties of them are provided. Moreover, the relationship between fuzzy n-fold positive implicative (pre)filter and fuzzy n-fold implicative (pre)filter is considered. Using the level subset of a fuzzy set in EQ-algebras, some characterizations of fuzzy n-fold (positive) implicative (pre)filters in EQ-algebras are given. Also, we investigate under what conditions the fuzzy n-fold positive implicative (pre)filter is a fuzzy n-fold implicative (pre)filter in EQ-algebras.