Scalarizations for approximate quasi efficient solutions in multiobjective optimization problems

被引：4

作者：

Yue R.-X. ^{[1
]}

Gao Y. ^{[1
]}

机构：

[1] Department of Mathematics, Chongqing Normal University, Chongqing

来源：

Journal of the Operations Research Society of China | 2015年 / 3卷 / 01期

关键词：

Approximate quasi efficeint solutions; Multiobjective optimization problems; Nonlinear scalarizations;

D O I：

10.1007/s40305-015-0075-1

中图分类号：

学科分类号：

摘要：

In this paper, by reviewing two standard scalarization techniques, a new necessary and sufficient condition for characterizing (ε (Formula Presented))-quasi (weakly)efficient solutions of multiobjective optimization problems is presented. The proposed procedure for the computation of (ε (Formula Presented))-quasi efficient solutions is given. Note that all of the provided results are established without any convexity assumptions on the problem under consideration. And our results extend several corresponding results in multiobjective optimization. © Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press and Springer-Verlag Berlin Heidelberg 2015.

引用

页码：69 / 80

页数：11

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