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-Be...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.展开更多
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).
文摘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.
