%0 Journal Article
%T ¦µ strict Local Efficient Solution for Multiobjective Programming Problems
%A HE Yue
%A PENG Jian-wen
%J Journal of Chongqing Normal University
%D 2013
%I Chongqing Normal University
%X The article generalizes the strict efficient solution of multiobjective programming problem (MOP) to ¦µ strict local efficient solution concept£¬thus pertains to characterize ¦µ strict local efficient solution for multiobjective programming problems (MOP) with inequality constraints.To create the necessary framework£¬we partition the index set of objective of MOP to give rise to subproblem (RMOPJB((P<¦Į,¦ÄJB((xJB)),xTX-0.5mmJB))).The ¦µstrict local efficient solution (¦µsles) for MOP is related to the local efficient solution of a subproblem (RMOPJB((P<¦Į,¦ÄJB((xJB)),xTX-0.5mmJB)))£¬having lesser number of objective functions£¬with MOP.This paper will discuss their relationship.We will through the theorem discuss their relationship.We also generalize the strong convex function£»put forward a new concept of convex function ”Ŗ¦µstrongly convex function£¬and by the strong convex function and KKT conditions to characterize ¦µstrict local efficient solution for MOP.
%K multiobjective programming problems£»strict local efficient solution£»admissible
%U http://journal.cqnu.edu.cn/1301/pdf/130105.pdf