On fuzzy generalized convex mappings and optimality conditions for fuzzy weakly univex mappings

In this paper, we first introduce the weakly invex fuzzy mappings based on weakly differentiable functions and discuss the relationships between several kinds of fuzzy generalized convex mappings. Then a kind of fuzzy weakly univex functions are introduced and some properties of them are investigated. Furthermore, optimality and duality results are derived for a class of generalized convex optimization problems with fuzzy weakly univex functions.