鲁棒多目标规划近似拟弱有效解的最优性条件和鞍点定理  

Optimality Conditions and Saddle Point Theorems of Approximate Quasi Weak Efficient Solutions for Robust Multiobjective Programming

作　　者：张亚萌 余国林[1] ZHANG Yameng;YU Guolin(Institute of Applied Mathematics,Beifang University of Nationalities,Yinchuan 750021,China)

机构地区：[1]北方民族大学应用数学研究所,银川750021

出　　处：《吉林大学学报（理学版）》2021年第2期250-256,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11361001).

摘　　要：利用分析的方法,通过引入(f,g)-Ⅰ型和(f,g)-伪拟Ⅰ型广义凸性的概念,研究一类多目标规划的鲁棒近似解问题,得到了鲁棒多目标规划问题的近似拟弱有效解的最优性条件和鞍点定理.By using the method of analysis and introducing the concepts of(f,g)-type-Ⅰand(f,g)-pseudo quasi-type-Ⅰgeneralized convexity,we studied the problem of robust approximate solutions for a class of multiobjective programming,and obtained the opti mality conditions and saddle point theorems of approximate quasi weak efficient solutions for robust multiobjective programming problems.

关 键 词：多目标规划 鲁棒近似解 广义凸性 最优性条件 鞍点 

分 类 号：O221[理学—运筹学与控制论]