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.
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