Notes on L-fuzzy γ-open sets

Abstract

The aim of this paper is to present a common approach allowing to obtain families of L-fuzzy sets in an L-topological space of Goguen type generalizing the class of all open L-fuzzy sets. In particular, we study the notion of an L-fuzzy ?-open set where ? is a monotone operator on the family of all L-fuzzy subsets of an L-topological space X and discuss some properties of L-fuzzy ?-open sets.