多目标随机规划逼近问题弱有效解集的上半收敛性  

The Upper Semi-Convergence of Weak Effective Solution Sets of Approximation Problems for Multi-Objective Stochastic Programming

作　　者：霍永亮[1] 周道清[1] 

机构地区：[1]重庆文理学院数学与财经学院,重庆永川402160

出　　处：《西南师范大学学报（自然科学版）》2013年第1期1-6,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：重庆市教委基金资助项目(KJ091211)

摘　　要：在无界且可积函数族对偶的概率测度空间上引入了最小信息概率度量,利用弱有效解集的结构特征,给出了多目标随机规划逼近问题弱有效解集关于最小信息概率度量收敛的上半收敛性条件.This paper deals with the introduction of minimal information （m. i. ） probability metric in dual- ity spaces of unbounded integrable functions family, and a sufficient condition for the upper semi-conver- gence of approximate weak effective solution set for multi-objective stochastic programs has been studied with structure characteristic, when the probability measure sequence is convergence in minimal information （m. i. ） probability metric.

关 键 词：多目标随机规划 最小信息概率度量 弱有效解集 上半收敛性 

分 类 号：O221.5[理学—运筹学与控制论]