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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 2(2), Pages 37–44
DOI: https://doi.org/10.18500/1816-9791-2013-13-2-2-37-44 (Mi isu411) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Computer science

Models of multi-criteria optimization with quality criteria

V. V. Rozen, D. S. Smirnova

Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83
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DOI: https://doi.org/10.18500/1816-9791-2013-13-2-2-37-44
Abstract: We consider mathematical models of multi-criteria optimization with quality criteria. The main problem is a construction of preference relations on the set of alternatives and an investigation of its mathematical properties. Two methods for contraction of Pareto-optimal set are proposed. The first method is based on introduction of a partial order relation on the set of criteria and the second leans selection of the most important groups of criteria.
Key words: model of multi-criteria optimization, preference relation, Pareto-optimality, winning coalition of criteria.
Bibliographic databases:
Document Type: Article
UDC: 519.83
Language: Russian
Citation: V. V. Rozen, D. S. Smirnova, “Models of multi-criteria optimization with quality criteria”, Izv. Saratov Univ. Math. Mech. Inform., 13:2(2) (2013), 37–44
Citation in format AMSBIB
\Bibitem{RozSmi13}
\by V.~V.~Rozen, D.~S.~Smirnova
\paper Models of multi-criteria optimization with quality criteria
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 2(2)
\pages 37--44
\mathnet{http://mi.mathnet.ru/isu411}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-2-2-37-44}
\elib{https://elibrary.ru/item.asp?id=20518313}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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