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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf10087 https://www.mathnet.ru/eng/zvmmf/v54/i9/p1455
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