• DECOMPOSING OF THE PARAMETRIC SPACE-BASED ON STABILITY NOTIONS FOR VECTOR OPTIMIZATION PROBLEMS

DAOUD MASHAT, NAWAF ALHARBI*

Abstract


Real engineering problems are distinguished by the presence of incommensurable and clashing objectives. Naturally, these objectives involve many parameters which its values may be defined by experts. The aim of this paper is to decompose the parametric space in vector optimization problems (VOPs) by the weighted sum approach. Also, the basic notions of stability in convex programming problems with parameters in the objective functions are defined and analyzed qualitatively for (VOP). A numerical example is given to illustrate the developed method.


Keywords


vector optimization problems; Stability; Efficient solutions.

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