Abstract. The influence of perturbations of the 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 the linear objective functions are analyzed. The structure of the set of specific perturbed ordering cones with different values of the parameter of perturbations of initial data is investigated. Refs: 10 titles.

Keywords: vector optimization problems, perturbation of initial data, perturbed ordering cones.