Стійкість і регуляризація векторних задач оптимізації за можливих збурень критеріїв / Лебєдєва Т. Т., Семенова Н. В., Сергієнко Т. І. (2022)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2022, 58 (5))

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


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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].


 

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