On robustness for set-valued optimization problems

Kuntal Som () and V. Vetrivel
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Kuntal Som: Indian Institute of Technology Madras
V. Vetrivel: Indian Institute of Technology Madras

Journal of Global Optimization, 2021, vol. 79, issue 4, No 6, 905-925

Abstract: Abstract In the recent past, finding robust solutions for optimization problems contaminated with uncertainties has been topical and has been investigated in the literature for scalar and multi-objective/vector-valued optimization problems. In this paper, we introduce various types of robustness concept for set-valued optimization, such as min–max set robustness, optimistic set robustness, highly set robustness, flimsily set robustness, multi-scenario set robustness. We study some existence results for corresponding concepts of solution and establish some relationship among them.

Keywords: Set-valued optimization; Robustness; Uncertainty (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10898-020-00959-z

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