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Optimality Conditions in Uncertain Multi-Objective Optimization Problems with a Variable Domination Structure

Author

Listed:
  • Cong Fan

    (College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, P. R. China)

  • Qilin Wang

    (College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, P. R. China)

Abstract

In this paper, we first establish some new properties of a kind of nonlinear scalarization function. Second, based on set approaches, we introduce a class of new definitions of robustness for an uncertain multi-objective optimization problem with a variable domination structure. Finally, by applying the scalarization method, we obtain the necessary and sufficient optimality conditions of the robustness for the uncertain multi-objective optimization problem with a variable domination structure in a more general setting. Some of the obtained results extend and imply the corresponding ones in recent literature.

Suggested Citation

  • Cong Fan & Qilin Wang, 2024. "Optimality Conditions in Uncertain Multi-Objective Optimization Problems with a Variable Domination Structure," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 41(05), pages 1-27, October.
    • Handle: RePEc:wsi:apjorx:v:41:y:2024:i:05:n:s0217595923500318
    DOI: 10.1142/S0217595923500318
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