Journal
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume 181, Issue 3, Pages 817-839Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-019-01505-y
Keywords
Oriented distance function; Set relations; Image space analysis; Uncertain multiobjective optimization; Robustness; 49J53; 90C29; 90C30; 90C31
Funding
- DST-SERB [EMR/2016/005124]
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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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