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

Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (2): 250-256.

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

ZHANG Yameng, YU Guolin

Institute of Applied Mathematics, Beifang University of Nationalities, Yinchuan 750021, China

Received:2020-07-09 Online:2021-03-26 Published:2021-03-26

Abstract

Abstract: By using the method of analysis and introducing the concepts of (f,g)-type-Ⅰ and (f,g)-pseudo quasi-type-Ⅰ generalized convexity, we studied the problem of robust approximate solutions for a class of multiobjective programming, and obtained the optimality conditions and saddle point theorems of approximate quasi weak efficient solutions for robust multiobjective programming problems.

Key words: multiobjective programming, robust approximate solution, generalized convexity, optimality condition, saddle point

CLC Number:

O221

ZHANG Yameng, YU Guolin. Optimality Conditions and Saddle Point Theorems of Approximate Quasi Weak Efficient Solutions for Robust Multiobjective Programming[J].Journal of Jilin University Science Edition, 2021, 59(2): 250-256.

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

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