Higher order symmetric duality for multiobjective fractional programming problems over cones

Abstract

This article studies a pair of higher order nondifferentiable symmetric fractional programming problem over cones. First, higher order cone convex function is introduced. Then using the properties of this function, duality results are set up, which give the legitimacy of the pair of primal dual symmetric model.

Keywords

• higher order symmetric duality
• higher order (ф,ρ)-convexity
• fractional programs
• nondifferentiable programs
• generalized convexity