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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 9, Pages 1455–1464
DOI: https://doi.org/10.7868/S004446691409004X (Mi zvmmf10087) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Comparison of two Pareto frontier approximations

V. E. Berezkin, A. V. Lotov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
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DOI: https://doi.org/10.7868/S004446691409004X
Abstract: A method for comparing two approximations to the multidimensional Pareto frontier in nonconvex nonlinear multicriteria optimization problems, namely, the inclusion functions method is described. A feature of the method is that Pareto frontier approximations are compared by computing and comparing inclusion functions that show which fraction of points of one Pareto frontier approximation is contained in the neighborhood of the Edgeworth–Pareto hull approximation for the other Pareto frontier.
Key words: multicriteria optimization, comparison of Pareto frontier approximations, Edgeworth–Pareto hull, inclusion function.
Received: 26.12.2013
Revised: 24.03.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 9, Pages 1402–1410
DOI: https://doi.org/10.1134/S0965542514090048
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: V. E. Berezkin, A. V. Lotov, “Comparison of two Pareto frontier approximations”, Zh. Vychisl. Mat. Mat. Fiz., 54:9 (2014), 1455–1464; Comput. Math. Math. Phys., 54:9 (2014), 1402–1410
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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