PROPERTIES OF PERTURBED CONES ORDERING THE SET OF FEASIBLE SOLUTIONS OF VECTOR OPTIMIZATION PROBLEM

摘要

The influence of perturbations of initial data on the solutions of multicriteria optimization problems is considered. The properties of perturbed cones, which partially order the feasible domain of the vector optimization problem with respect to linear objective functions are analyzed. The structure of the set of specific perturbed ordering cones with different values of the parameter of perturbations of the initial data is investigated.