Characterizations of Some Fuzzy Prefilters (Filters)‎ in E Q -Algebras

Abstract EN

We introduce and study sometypes of fuzzy prefilters (filters) in E Q -algebras.

First,we present several characterizations of fuzzy positiveimplicative prefilters (filters), fuzzy implicative prefilters(filters), and fuzzy fantastic prefilters (filters).

Next,using their characterizations, we mainly consider therelationships among these special fuzzy filters.

Particularly,we find some conditions under which a fuzzyimplicative prefilter (filter) is equivalent to a fuzzy positiveimplicative prefilter (filter).

As applications, weobtain some new results about classical filters in E Q -algebras and some related results about fuzzy filters inresiduated lattices.