带变动序结构的向量优化问题的E-最优元  

E-Optimal Elements of Vector Optimization Problems with Variable Ordering Structures

作　　者：刘彩平[1] LIU Caiping(College of Economic Mathematics,Southwestern University of Finance and Economics,Chengdu 611130)

机构地区：[1]西南财经大学经济数学学院,成都611130

出　　处：《系统科学与数学》2020年第3期485-494,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(11431004,11471291)资助课题。

摘　　要：推广固定锥序下的改进集概念到变动序关系.引入了带变动序结构的向量优化问题的E-最优元.应用Tammer-Weidner意义下的非线性标量化函数,给出了向量优化问题E-最优元的标量化刻画,建立了带变动序结构的向量优化问题的E-最优元的必要和充分最优性条件.The nation of improvement set with the ordering defined by a fixed cone is extended to variable ordering defined by a cone-valued map.The concept of Eoptimal element of vector optimization problems with variable ordering structures is introduced.By using scalarization function in the sense of Tammer-Weidner,some characterizations of E-optimal element in vector optimization are given,some necessary and sufficient optimality conditions are established.

关 键 词：向量优化 变动序结构 改进集 标量化 

分 类 号：O224[理学—运筹学与控制论]