Generalized Fuzzy Regular Filters On Residuated Lattices

The aim of this paper is further to develop the fuzzy filter theory of general residuated lattices. The concepts of (epsilon, epsilon Vqk)-fuzzy positive implicative filter, (epsilon, epsilon Vqk)-fuzzy MV filter and (epsilon, epsilon Vqk)-fuzzy regular filter are introduced; Their properties are investigated, and some equivalent characterizations of these generalized fuzzy filters are also derived.