| 一类不确定半无限多目标优化问题的鲁棒逼近最优性 |
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| 引用本文： | 莫晓庆,孙祥凯. 一类不确定半无限多目标优化问题的鲁棒逼近最优性[J]. 吉林大学学报(理学版), 2021, 59(2): 257-262. DOI: 10.13413/j.cnki.jdxblxb.2020196 |
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| 作者姓名： | 莫晓庆 孙祥凯 |
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| 作者单位： | 重庆工商大学 经济社会应用统计重庆市重点实验室, 数学与统计学院, 重庆 400067 |
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| 基金项目： | 重庆市自然科学基金;重庆市重点实验室开放课题项目;重庆市巴渝学者青年学者项目;国家自然科学基金;重庆工商大学科研团队项目 |
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| 摘 要： | 考虑一类含有不确定数据的半无限多目标优化问题,先引入该不确定半无限多目标优化问题的鲁棒逼近拟Pareto弱有效解,再借助鲁棒型次微分约束规格和一类广义凸性假设,给出该多目标优化问题的鲁棒逼近拟Pareto弱有效解的必要和充分最优性条件.
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| 关 键 词： | 半无限优化问题 拟Pareto弱有效解 广义凸性 |
| 收稿时间： | 2020-07-09 |
Robust Approximate Optimality for a Class of Uncertain Semi-infinite Multi-objective Optimization Problems |
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| MO Xiaoqing,SUN Xiangkai. Robust Approximate Optimality for a Class of Uncertain Semi-infinite Multi-objective Optimization Problems[J]. Journal of Jilin University: Sci Ed, 2021, 59(2): 257-262. DOI: 10.13413/j.cnki.jdxblxb.2020196 |
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| Authors: | MO Xiaoqing SUN Xiangkai |
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| Affiliation: | Chongqing Key Laboratory of Social Economic and Applied Statistics, College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | We considered a class of semi-infinite multi-objective optimization problems with uncertain data. We first introduced a robust approximate Pareto weak efficient solution of the uncertain semi-infinite multi-objective optimization problem. Then, by means of a robust-type subdifferential constraint qualification and a class of generalized convexity assumptions, we gave necessary and sufficient optimality conditions for the robust approximate quasi Pareto weak efficient solution of the multi-objective optimization problem. |
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| Keywords: | semi-infinite optimization problem quasi Pareto weak efficient solution generalized convexity |
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