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.
| Original language | English |
|---|---|
| Pages (from-to) | 817-839 |
| Number of pages | 23 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 181 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Jun 2019 |
Bibliographical note
Publisher Copyright:© 2019, Springer Science+Business Media, LLC, part of Springer Nature.
Keywords
- Image space analysis
- Oriented distance function
- Robustness
- Set relations
- Uncertain multiobjective optimization
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics
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