Multicriterial Fractional Optimization

Abstract

At first we introduce different solution concepts for general vector optimization problems and summarize some relations between them. Further, we apply these solution concepts to vectorial fractional optimization problems and show that the well-known Dinkelbach-transformation can be generalized in the sense, that even in vector optimization exact as well as approximate solutions for the original problem and for the transformed one are closely related. Finally, we discuss possibilities to handle the transformed vector optimization problem by means of parametric optimization.