不确定多目标优化问题的一类鲁棒标量化方法
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重庆师范大学

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国家自然科学基金项目(面上项目,重点项目,重大项目)


A class of robust scalarization methods for uncertain multi-objective optimization problems
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Chongqing Normal University

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    摘要:

    【目的】对不确定多目标优化问题的(近似)鲁棒弱有效解和(近似)鲁棒有效解的性质进行研究。【方法】通过对带松弛和剩余变量的鲁棒标量化问题(近似)最优解的研究,建立了(近似)鲁棒弱有效解和(近似)鲁棒有效解的一些充分条件和必要条件。【结果】将确定性多目标优化问题提出的带松弛和剩余变量标量化模型推广到鲁棒情形,提出了一类新的鲁棒标量化问题。【结论】所得结果是对最近一些研究工作的改进与推广。

    Abstract:

    [Purposes]The objective of this study is to study the properties of the (approximate) robust weak effective solution and the (approximate) robust effective solution of the uncertain multi-objective optimization problem. [Methods]Through the study of the (approximate) optimal solution of the robust scaling problem with relaxation and residual variables, some sufficient conditions and necessary conditions for the (approximate) robust weak effective solution and the (approximate) robust effective solution were established [Findings]The scaling model with relaxation and residual variables proposed by the deterministic multi-objective optimization problem was extended to the robust case, and a new class of robust scaling problems was proposed. [Conclusions]The results obtained are the improvement and promotion of some recent research work..

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  • 收稿日期:2023-12-04
  • 最后修改日期:2023-12-04
  • 录用日期:2024-05-29
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