Characterizations of Multiobjective Robustness via Oriented Distance Function and Image Space Analysis

被引：0

作者：

Qamrul Hasan Ansari

Elisabeth Köbis

Pradeep Kumar Sharma

机构：

[1] Aligarh Muslim University,Department of Mathematics

[2] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics

[3] Martin-Luther-University Halle-Wittenberg,Institute of Mathematics

来源：

Journal of Optimization Theory and Applications | 2019年 / 181卷

关键词：

Oriented distance function; Set relations; Image space analysis; Uncertain multiobjective optimization; Robustness; 49J53; 90C29; 90C30; 90C31;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we characterize different kinds of multiobjective robustness concepts via the well-known oriented distance function. By using characterizations of several set relations via the oriented distance function, together with the help of image space analysis, we construct some suitable subsets of the scalarization image space to obtain equivalent characterizations for various robust solutions for uncertain multiobjective optimization problems based on a set approach.

引用

页码：817 / 839

页数：22

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