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

Cong Fan () and Qilin Wang
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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

Asia-Pacific Journal of Operational Research (APJOR), 2024, vol. 41, issue 05, 1-27

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.

Keywords: Uncertain multi-objective optimization problems; nonlinear scalarization functions; variable domination structures; variable set orders (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0217595923500318

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