Characterizations of multiobjective robustness via oriented distance function and image space analysis

Ansari, Qamrul Hasan, Köbis, Elisabeth and Sharma, Pradeep Kumar (2019) Characterizations of multiobjective robustness via oriented distance function and image space analysis. Journal of Optimization Theory and Applications, 181 (3), 817-839. (doi:10.1007/s10957-019-01505-y).

Record type: Article

Abstract

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.

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More information

Accepted/In Press date: 11 March 2019

e-pub ahead of print date: 18 March 2019

Published date: 1 June 2019

Additional Information: Funding Information: Authors are grateful to the referees for their valuable suggestions and comments to improve the first draft of this paper. In this paper, Q. H. Ansari was supported by a research Grant of DST-SERB No. EMR/2016/005124.

Keywords: Image space analysis, Oriented distance function, Robustness, Set relations, Uncertain multiobjective optimization