%0 Journal Article
%T 一类多目标优化问题弱有效解的必要最优性条件<br>Necessary Optimality Conditions for a Class of Nonsmooth Constrained Multiobjective Optimization Problems
%A 欧小庆
%A 李金富
%A 刘佳
%A 廖霞
%A 陈加伟&lt
%A br&gt
%A OU Xiao-qing
%A LI Jin-fu
%A LIU Jia
%A LIAO Xia
%A CHEN Jia-wei
%J 西南大学学报(自然科学版)
%D 2018
%R 10.13718/j.cnki.xdzk.2018.10.018
%X 标量化方法是研究多目标优化问题的最优性条件与算法的重要手段，最优性理论是优化理论的重要研究内容之一.建立了一类标量化函数的相关性质，并借助标量化技巧与Clarke次微分，在假设次微分约束规格成立的条件下，建立了一类非光滑多目标优化问题的局部弱有效解的Karush-Kuhn-Tucker必要最优性条件.<br>The scalarization method is an important means for the study of optimality and algorithms of multi-objective optimization problems, and optimality theory is one of the important contents in the optimization theory. In this paper, we first establish some properties of a class of scalarization functions. Then, with the scalarization method and Clarke subdifferentials, we establish the Karush-Kuhn-Tucker necessary optimality conditions for the local weakly efficient solution of a nonsmooth constrained multi-objective optimization problem under the assumption of subdifferential constraint qualification
%K 多目标优化
%K 局部弱有效解
%K 必要最优性条件
%K 约束规格&lt
%K br&gt
%K multiobjective optimization
%K local weakly efficient solution
%K necessary optimality condition
%K constraint qualification
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/10/20181018.htm