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Optimality Conditions in Uncertain Vector Optimization Problems with Variable Domination Structures via Gerstewitz Function

Author

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  • Zhenzhen Qin

    (Chongqing Jiaotong University)

  • Qilin Wang

    (Chongqing Jiaotong University)

  • Jie Wang

    (Chongqing Jiaotong University)

  • Ching-Feng Wen

    (National Yunlin University of Science and Technology)

Abstract

In this paper, we first investigate a few important properties of several set-order relations via the Gerstewitz function. Secondly, employing several set-order relations, we examine a unified approach to characterize robust strictly minimal solutions for uncertain vector optimization problems with variable domination structures. Finally, by utilizing scalarization methods, we establish the necessary and sufficient conditions for the robust strictly minimal solution of uncertain vector optimization problems with variable domination structures under more generalized assumptions.

Suggested Citation

  • Zhenzhen Qin & Qilin Wang & Jie Wang & Ching-Feng Wen, 2025. "Optimality Conditions in Uncertain Vector Optimization Problems with Variable Domination Structures via Gerstewitz Function," Journal of Optimization Theory and Applications, Springer, vol. 207(2), pages 1-23, November.
    • Handle: RePEc:spr:joptap:v:207:y:2025:i:2:d:10.1007_s10957-025-02783-5
    DOI: 10.1007/s10957-025-02783-5
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