摘要
【目的】对不确定多目标优化问题的鲁棒解及相关性质进行讨论。【方法】基于Burachik定义的两个正则条件,提出两个新的正则条件,即鲁棒性正则条件,进而利用新正则条件对不确定多目标优化问题的鲁棒解进行研究。【结果】建立了该问题鲁棒有效解的弱Kuhn-Tucker必要条件和真鲁棒有效解的强Kuhn-Tucker必要条件。【结论】所得的主要结果是对最近一些研究工作的改进和推广。
[Purposes]To discuss the robust solutions and related properties of uncertain multi-objective optimization problems.[Methods]Based on the two regular conditions defined by Burachik,two new regularity conditions are proposed,namely robust regularity conditions.Furthermore,under the condition of the new regularity,the robust solutions of uncertain multi-objective optimization problems with inequality constraints are studied.[Findings]The weak Kuhn-Tucker necessary condition of robust efficient solutions and strong Kuhn-Tucker necessary condition of Geoffrion properly robust efficient solutions are established.[Conclusions]The main results improve and generalize some recent research works.
作者
李艳艳
赵洁
林安
LI Yanyan;ZHAO Jie;LIN An(School of Mathematics and Computer,Chongqing Normal University Foreign Trade College,Hechuan Chongqing 401520,China)
出处
《重庆师范大学学报(自然科学版)》
CAS
北大核心
2020年第1期130-134,共5页
Journal of Chongqing Normal University:Natural Science
基金
国家自然科学基金(No.11671062)
重庆师范大学涉外商贸学院校级科研项目(No.KY2018014)
重庆市教委科学技术研究项目(No.KJ1500303)
重庆市基础与前沿研究计划项目(No.cstc2015jcyjA00027)。
关键词
不确定多目标优化
鲁棒性正则条件
鲁棒有效解
真鲁棒有效解
强弱Kuhn-Tucker条件
uncertain multi-objective optimization
robust regularity conditions
robust efficient solutions
properly robust efficient solutions
the weak and strong Kuhn-Tucker conditions