Generalized Double Fuzzy Semi-Basically Disconnected Spaces

In this paper, we introduce the concept of generalized double fuzzy semi-basically disconnected space and related notions such as (r, s)-generalized fuzzy semiopen-F σ sets, (r, s)-generalized fuzzy semiclosed-G δ sets, generalized double fuzzy semi * -open function, generalized double fuzzy semi * -continuous function and generalized double fuzzy semi * -irresolute function. Some interesting properties and characterizations of the concepts introduced are studied.