Comparison of two Pareto frontier approximations

被引：8
|
作者：
Berezkin, V. E. [1 ]
Lotov, A. V. [1 ]
机构：
[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2014年 / 54卷 / 09期
基金：
俄罗斯基础研究基金会;
关键词：
multicriteria optimization; comparison of Pareto frontier approximations; Edgeworth-Pareto hull; inclusion function; VISUALIZATION; SET;
D O I：
10.1134/S0965542514090048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：1402 / 1410
页数：9
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