Lebedeva T.T., Semenova N.V., Sergienko T.I.
Stability and regularization of vector optimization problems with possible perturbations of criteria

New results are provided regarding the stability and regularization of vector (multi-criteria) optimization problems under possible disturbances of input data of the vector criterion consisting of quadratic or linear functions. The stability of problems with quadratic criteria for finding Slater-optimal solutions is proved. In the case of Pareto optimization, an approach to the regularization of problems with linear criterion functions is developed. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: disturbances of initial data, Pareto-optimal solutions, regularization, Slater set, stability with respect to vector criterion, vector problem, Optimal systems, Pareto principle, Stability criteria, Vectors, Disturbance of initial data, Multi-criterion optimization, New results, Pareto optimal solutions, Regularisation, Slater set, Stability with respect to vector criteria, Vector criterion, Vector optimization problems, Vector problem, Multiobjective optimization

Cite:
Lebedeva T.T., Semenova N.V., Sergienko T.I. (2022). Stability and regularization of vector optimization problems with possible perturbations of criteria. Cybernetics and Systems Analysis, 58 (5), 57–63. doi: https://doi.org/10.1007/s10559-022-00505-7 http://jnas.nbuv.gov.ua/article/UJRN-0001348610 [In Ukrainian].