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鲁棒多目标优化问题的约束标量化方法

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为了研究带约束鲁棒标量化问题的最优解与多目标优化问题的鲁棒有效解和鲁棒弱有效解之间的关系，获得鲁棒解的性质。利用鲁棒标量化方法将带约束的确定性多目标优化问题推广到鲁棒多目标优化问题，并在不同参数条件下，对鲁棒有效解和鲁棒弱有效解进行研究。建立了鲁棒有效解和鲁棒弱有效解的一些充分条件，并给出具体例子对主要结果进行解释。所得结果是对最近一些研究工作的改进与推广。
A Constraint Scaling Method for Robust Multi-Objective Optimization Problems
In order to study the relationship between the optimal solution of constrained robust scalarization problems and the robust effective solution and robust weak effective solution of multi-objective optimization problems,and to obtain the properties of robust solutions.Using robust scalarization methods,the constrained deterministic multi-objective optimization problem is extended to robust multi-objective optimization problems,and robust effective solutions and robust weak effective solutions are studied under different parameter conditions.Some sufficient conditions for robust efficient solutions and robust weak efficient solutions are established,and specific examples are given to explain the main results.The results are an improvement and replication of some recent research work.

robust multi-objective optimization problemsrobust scalarization problemsrobust weak effective solutionsrobust effective solutions

邓枘、赵克全

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重庆师范大学数学科学学院,重庆 401331

鲁棒多目标优化问题 鲁棒标量化问题 鲁棒弱有效解 鲁棒有效解

国家自然科学基金项目——重大项目自由申请项目重庆市高校创新研究群体项目重庆市自然科学基金项目

1199102412171063CXQT20014cstc2022ycjhbgzxm0114

2024

10.11721/cqnuj20240307

重庆师范大学学报(自然科学版)
重庆师范大学

重庆师范大学学报(自然科学版)

CSTPCD北大核心
影响因子：0.652
ISSN：1672-6693
年,卷(期)：2024.41(3)