The purpose of this paper is to introduce and study a new class of sets called (r, s)-generalized fuzzy b-regular weakly closed sets which is lies between the new class of (r,s)-fuzzy regular weakly closed sets and (r,s)-generalized fuzzy b-closed sets in double fuzzy topological spaces. Several fundamental properties are introduced and discussed. Furthermore, the relationships between the new concepts are introduced and established with some interesting counter examples.
