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


AKbar Paad, Azam Jafari




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.