Stability kernel of multicriteria optimization problem under perturbations of input data of vector criterion / Lebedeva, / Semenova, / Sergienko. (2021)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2021, 57 (4))

Lebedeva T.T., Semenova N.V., Sergienko T.I.
Stability kernel of multicriteria optimization problem under perturbations of input data of vector criterion

Based on the concept of the stability kernel for a multicriteria optimization problem of finding Pareto optimal solutions with continuous partial criterion functions and a feasible set of an arbitrary structure, the conditions of problem stability with respect to initial data perturbations of the vector criterion are established. Stable belonging of the feasible solutions to criteria sets of optimal solutions of the problem is analyzed. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: multicriteria optimization problem, Pareto-optimal solutions, perturbations of initial data, Slater set, Smale set, stability, stability kernel, vector criterion, Optimal systems, Pareto principle, Arbitrary structures, Criterion functions, Data perturbation, Feasible solution, Multicriteria optimization, Optimal solutions, Pareto optimal solutions, Vector criteria, Multiobjective optimization


Cite:
Lebedeva T.T., Semenova N.V., Sergienko T.I. (2021). Stability kernel of multicriteria optimization problem under perturbations of input data of vector criterion. Cybernetics and Systems Analysis, 57 (4), 88–94. doi: https://doi.org/10.1007/s10559-021-00382-6 http://jnas.nbuv.gov.ua/article/UJRN-0001254213 [In Russian].


 

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