不确定多目标优化问题鲁棒ε-拟弱有效解的最优性和对偶性  

Optimality and Duality of Robustε-Quasi-Weak Effective Solutions for Uncertain Multi-objective Optimization Problem

作　　者：李梦恩 韩有攀[1] Li Meng’en;Han Youpan(School of Science,Xi’an Polytechnic University,Xi’an 710600,China)

机构地区：[1]西安工程大学理学院,陕西西安710600

出　　处：《宁夏大学学报（自然科学版）》2023年第2期107-113,118,共8页Journal of Ningxia University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11501434)。

摘　　要：研究了一类具有不确定因素的多目标优化问题.首先,在广义凸性条件下,给出了多目标优化问题鲁棒ε-拟弱有效解的最优性充分条件.其次,给出了相应的Mond-Weir型和Wolfe型对偶模型,并分别讨论了原问题与两类对偶问题之间的对偶关系,得到了相应的弱对偶、强对偶以及逆对偶结论.A multi-objective optimization problems with uncertain factors is considered in this paper.For robustε-quasi-weak effective solutions of the optimization problem,sufficient conditions are given.Then,the corresponding Mond-Weir and Wolfe type dual models are established,moreover,the relationship between the original problem and two types of dual problems are discussed.Finally,the corresponding weak,strong,and inverse duality conclusions are obtained,respectively.

关 键 词：多目标优化 拟弱有效解 对偶 广义凸性 

分 类 号：O221.6[理学—运筹学与控制论]