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On robustness for set-valued optimization problems

Author

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  • Kuntal Som

    (Indian Institute of Technology Madras)

  • V. Vetrivel

    (Indian Institute of Technology Madras)

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.

Suggested Citation

  • Kuntal Som & V. Vetrivel, 2021. "On robustness for set-valued optimization problems," Journal of Global Optimization, Springer, vol. 79(4), pages 905-925, April.
    • Handle: RePEc:spr:jglopt:v:79:y:2021:i:4:d:10.1007_s10898-020-00959-z
    DOI: 10.1007/s10898-020-00959-z
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    References listed on IDEAS

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    Cited by:

    1. Marius Durea & Radu Strugariu, 2023. "Directional derivatives and subdifferentials for set-valued maps applied to set optimization," Journal of Global Optimization, Springer, vol. 85(3), pages 687-707, March.
    2. Kuntal Som & V. Vetrivel, 2023. "Global well-posedness of set-valued optimization with application to uncertain problems," Journal of Global Optimization, Springer, vol. 85(2), pages 511-539, February.

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