In this paper, we have considered a class of constrained nonsmoothmultiobjective fractional programming problem involving supportfunctions under generalized convexity. Also, second order Mond Weir typedual and Schaible type dual are discussed and various weak, strong andstrict converse duality results are derived under generalized class of secondorder (F, α, ρ, d)-V-type I functions. Also, we have illustrated through nontrivialexamples that class of second order (F, α, ρ, d)-V-type I functionsextends the definitions of generalized convexity appeared in the literature.