Conic Scalarizations for Approximate Efficient Solutions in Nonconvex Vector Optimization Problems  

作　　者：Hui Guo Wan-li Zhang 

机构地区：[1]Department of Mathematics,Chongqing Normal University,Chongqing 401331,China [2]College of Electronic and Information Engineering,Southwest University,Chongqing 400715,China

出　　处：《Journal of the Operations Research Society of China》2017年第3期419-430,共12页中国运筹学会会刊（英文）

基　　金：the National Natural Science Foundation of China(No.11301574);Chongqing Municipal Education Commission(No.KJ1500310);the Doctor Startup Fund of Chongqing Normal University(No.16XLB010).

摘　　要：Nonlinear scalarization is a very important method to deal with the vector optimization problems.In this paper,some conic nonlinear scalarization characterizations of E-optimal points,weakly E-optimal points,and E-Benson properly efficient points proposed via improvement sets are established by a new scalarization function,respectively.These results improved and generalized some previously known results.As a special case,the scalarization of Benson properly efficient points is also given.Some examples are given to illustrate the main results.

关 键 词：Improvementset E-optimal points Weakly E-optimal points E-Benson properlyefficientpoints Nonlinear scalarization 

分 类 号：O17[理学—数学]