Degree of F-irresolute function in (L;M)-fuzzy topological spaces

In this paper, we present a new vision for studying F-open, F-continuous, and F-irresolute function in (L,M)-fuzzy topological spaces based on the implication operation and (L,M)-fuzzy F-open operator [3]. These kinds of functions are generalized with their elementary properties to (L,M)-fuzzy topological spaces setting based on graded concepts. Moreover, a systematic discussion of their relationship with the degree of F-compactness, F-connectedness, FT1, and FT2 is carried out.