一类不确定半无限多目标优化问题的鲁棒逼近最优性

吉林大学学报(理学版) ›› 2021, Vol. 59 ›› Issue (2): 257-262.

一类不确定半无限多目标优化问题的鲁棒逼近最优性

莫晓庆, 孙祥凯

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

收稿日期:2020-07-09 出版日期:2021-03-26 发布日期:2021-03-26
通讯作者: 孙祥凯 E-mail:sxkcqu@163.com

Robust Approximate Optimality for a Class of Uncertain Semi-infinite Multi-objective Optimization Problems

MO Xiaoqing, SUN Xiangkai

Chongqing Key Laboratory of Social Economic and Applied Statistics, College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China

Received:2020-07-09 Online:2021-03-26 Published:2021-03-26

摘要/Abstract

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.

关键词: 半无限优化问题, 拟Pareto弱有效解, 广义凸性

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.

Key words: semi-infinite optimization problem, quasi Pareto weak efficient solution, generalized convexity

中图分类号:

O221.6

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.

MO Xiaoqing, SUN Xiangkai. Robust Approximate Optimality for a Class of Uncertain Semi-infinite Multi-objective Optimization Problems[J]. Journal of Jilin University Science Edition, 2021, 59(2): 257-262.