多目标优化中一类鲁棒有效解的最优性充分条件  

Sufficient Optimality Conditions for Kind of Robust Efficient Solutions in Multiobjective Optimization

作　　者：李艳艳 朱巧 赵克全 

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《重庆师范大学学报（自然科学版）》2017年第6期11-14,共4页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金(No.11431004;No.11671062;No.11271391);重庆市基础与前沿研究计划项目(No.cstc2015jcyjA00027);重庆市教委科学技术研究项目(No.KJ1500303)

摘　　要：【目的】对多目标优化问题鲁棒有效解及一些相关性质进行讨论。【方法】利用Clarke方向导数意义下的线性化锥对带不等式约束的非光滑多目标优化问题中一类鲁棒有效解进行讨论,并举例进行说明。【结果】得到了该问题的一些最优性充分条件。【结论】所得的主要结果对最近一些研究工作做了改进与推广。[Purposes]The study of various solutions for multiobjective optimization is a very important subject in the study of multiobjective optimization theory and method.However,the study of robust efficient solution has important practical significance and application value.[Methods]By means of linearizing cone in the sense of Clarke direction derivative.[Findings]Some optimality sufficient conditions are given for a kind of robust efficient solutions of nonsmooth multiobjective optimization problems with inequality constraints.Moreover,some concrete examples are also presented to illustrate the main results.[Conclusions]The main results improve and generalize some recent research works.

关 键 词：非光滑多目标优化 最优性条件 鲁棒有效解 线性化锥 

分 类 号：O220.6[理学—运筹学与控制论]