Some approaches to the study of the stability of solutions to multi-objective optimization problems

Daniil S. Perestoronin, V.V. Kolbin

Research outputpeer-review

Abstract

This article focuses on the issue of how to study the stability of solutions to a multi-objective optimization problem. Normalization and principle of choice of solutions to a multi-objective optimization problem can be approached in various ways. The concepts of the region of admissibility and scope of optimality are also given consideration. We consider the epsilon-stability in the medium multi-objective optimization problem.

Original languageEnglish
Pages (from-to)34-40
Number of pages7
JournalInternational Journal of Applied Mathematics and Statistics
Volume55
Issue number1
Publication statusPublished - 2016

Cite this

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abstract = "This article focuses on the issue of how to study the stability of solutions to a multi-objective optimization problem. Normalization and principle of choice of solutions to a multi-objective optimization problem can be approached in various ways. The concepts of the region of admissibility and scope of optimality are also given consideration. We consider the epsilon-stability in the medium multi-objective optimization problem.",
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AB - This article focuses on the issue of how to study the stability of solutions to a multi-objective optimization problem. Normalization and principle of choice of solutions to a multi-objective optimization problem can be approached in various ways. The concepts of the region of admissibility and scope of optimality are also given consideration. We consider the epsilon-stability in the medium multi-objective optimization problem.

KW - multi-objective optimization

KW - multi-objective optimization problem of normalization

KW - stability area

KW - region of admissibility

KW - epsilon-stability

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JO - International Journal of Applied Mathematics and Statistics

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