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Some approaches to the study of the stability of solutions to multi-objective optimization problems. / Perestoronin, Daniil S.; Kolbin, V.V.

в: International Journal of Applied Mathematics and Statistics, Том 55, № 1, 2016, стр. 34-40.

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Perestoronin, Daniil S. ; Kolbin, V.V. / Some approaches to the study of the stability of solutions to multi-objective optimization problems. в: International Journal of Applied Mathematics and Statistics. 2016 ; Том 55, № 1. стр. 34-40.

BibTeX

@article{13ec6ee7e54d44e0a0235474dca45d68,
title = "Some approaches to the study of the stability of solutions to multi-objective optimization problems",
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.",
keywords = "multi-objective optimization, multi-objective optimization problem of normalization, stability area, region of admissibility, epsilon-stability",
author = "Perestoronin, {Daniil S.} and V.V. Kolbin",
year = "2016",
language = "Английский",
volume = "55",
pages = "34--40",
journal = "International Journal of Applied Mathematics and Statistics",
issn = "0973-1377",
publisher = "Centre for Environment & Socio-Economic Research Publications",
number = "1",

}

RIS

TY - JOUR

T1 - Some approaches to the study of the stability of solutions to multi-objective optimization problems

AU - Perestoronin, Daniil S.

AU - Kolbin, V.V.

PY - 2016

Y1 - 2016

N2 - 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.

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

M3 - статья

VL - 55

SP - 34

EP - 40

JO - International Journal of Applied Mathematics and Statistics

JF - International Journal of Applied Mathematics and Statistics

SN - 0973-1377

IS - 1

ER -

ID: 7560661