Separation axioms and compactness of L-fuzzy frames, and their applications to L-fuzzy topological spaces

Abstract

a b s t r a c tIn this paper, we introduce the concept of L-fuzzy frame and study the relationships between the categories of L-fuzzy frames and L-fuzzy topological spaces. We also introduce separation axioms for L-fuzzy frames and study their properties as well as the relationships between them and the separation axioms of L-fuzzy topological spaces. At the end of the paper, the concept of the degree of fuzzy compactness is presented.