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

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In this submitted article, we defined new notions of closed sets and called it (p, q)-fuzzy α m -closed sets in double fuzzy topological spaces. Also, we investigate some characterizations and properties of the sets mentioned above. As a result, we discussed some new and more general relationship between (p, q)-fuzzy α m -closed set and it's generalized which is called an (p, q)-generalized fuzzy α m -closed sets which was obtained and compared.

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