Perturbing convex multiobjecttve programs

Abstract

The sensitivity of a convex noniinear constrained multiobjective program to small perturbations is analysed, in terms of the stability of weak optimal faces, and vertices, to perturbations. These results are applied to the perturbation of a set-valued optimization problem, in which the objective and constraint set-functions take convex poiyhedra as their values

Keywords:

• Multiobjective Program
• Perturbation
• Sensitivity
• Weak Minimum Vertex
• Set of Weak Minima
• Set-Valued Optimization