一类不确定半无限多目标优化问题的鲁棒逼近最优性  

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

作　　者：莫晓庆 孙祥凯 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)

机构地区：[1]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

出　　处：《吉林大学学报（理学版）》2021年第2期257-262,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11701057);重庆市自然科学基金(批准号:cstc2020jcyj-msxmX0016);重庆市重点实验室开放课题项目(批准号:KFJJ2019097);重庆工商大学科研团队项目(批准号:ZDPTTD201908);重庆市巴渝学者青年学者项目.

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.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.

关 键 词：半无限优化问题 拟Pareto弱有效解 广义凸性 

分 类 号：O221.6[理学—运筹学与控制论]