The motivation behiud this paper is to study a class of nondiffereutiable multiobjective fractional programming problem in which each component of objective functions contains a term including the support function of a compact convex set. For a differentiable function, we consider the class of second-order (F, a, p, cf)-type-I convex functions. Further, we formulate unified (mixed type) dual models and derived duality relations under aforesaid assumptions. © 2019 Jangjeon Mathematical Society. All rights reserved.