Multiobjective duality for convex ratios

Citations of this article
Mendeley users who have this article in their library.
Get full text


In this paper we present a duality approach for a multiobjective fractional programming problem. The components of the vector objective function are particular ratios involving the square of a convex function and a positive concave function. Applying the Fenchel-Rockafellar duality theory for a scalar optimization problem associated to the multiobjective primal, a dual problem is derived. This scalar dual problem is formulated in terms of conjugate functions and its structure gives an idea about how to construct a multiobjective dual problem in a natural way. Weak and strong duality assertions are presented. © 2002 Elsevier Science (USA). All rights reserved.




Wanka, G., & Boţ, R. I. (2002). Multiobjective duality for convex ratios. Journal of Mathematical Analysis and Applications, 275(1), 354–368.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free