Stability and regularization of partially integer problems of vector optimization with possible perturbations of criteria
DOI:
https://doi.org/10.15407/dopovidi2022.05.016Keywords:
vector integer optimization problem, vector criterion, stability, regularization, Pareto-optimal solutions, set of Slater, perturbations of initial dataAbstract
New results related to the study of stability and regularization of partially integer vector optimization problems with possible perturbations of the input data of a vector criterion consisting of quadratic or linear functions are presented. The stability of problems with quadratic criteria for the case of finding solutions that are optimal according to Slater is proved. For the Pareto optimization case, an approach to the regularization of partially integer problems with linear criterion functions is developed.
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