UDC 519.8
1 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
 lebedevatt@gmail.com
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2 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
nvsemenova@meta.ua
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3 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
taniaser62@gmail.com
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STABILITY KERNEL OF MULTICRITERIA OPTIMIZATION PROBLEM
UNDER PERTURBATIONS OF INPUT DATA OF VECTOR CRITERION
Abstract. Based on the concept of the stability kernel for multicriteria optimization problem
of finding Pareto optimal solutions with continuous partial criterion functions and feasible set of arbitrary structure,
the conditions of problem stability with respect to initial data perturbations in vector criterion are established.
Stable belonging of the feasible solutions to certain sets of optimal solutions of the problem is analyzed.
Keywords: multicriteriа optimization problem, vector criterion, Pareto-optimal solutions, Slater set, Smale set, perturbations of initial data, stability, kernel of stability.
FULL TEXT
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