 Cybernetics and Systems Analysis /  Issue (2023, 59 (4))
Lebedeva T.T.,
Semenova N.V.,
Sergienko T.I.
Regularization of the vector problem with quadratic criteria of Pareto optimization The article is devoted to the new results related to the regularization of vector (multicriteria) optimization problems on a feasible set of arbitrary structure under possible perturbations of input data of the vector criterion. An approach to the regularization of problems of finding the Pareto set with quadratic criterion functions is developed and substantiated. © 2023, Springer Science+Business Media, LLC, part of Springer Nature. Keywords: Pareto optimality, perturbation of input data, quadratic criterion functions, regularization, Slater’s set, stability of the problem, vector criterion, vector problem, Input output programs, Multiobjective optimization, Stability criteria, Vectors, Criterion functions, Input datas, Pareto-optimality, Perturbation of input data, Quadratic criteria function, Regularisation, Slater’s set, Stability of the problem, Vector criterion, Vector problem, Pareto principle
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Cite:
Lebedeva T.T.,
Semenova N.V.,
Sergienko T.I.
(2023). Regularization of the vector problem with quadratic criteria of Pareto optimization. Cybernetics and Systems Analysis, 59 (4), 60–66. doi: https://doi.org/10.1007/s10559-023-00591-1 http://jnas.nbuv.gov.ua/article/UJRN-0001415724 [In Ukrainian]. |
