参数多目标规划αk-较多有效性的稳定性  

Stability of αk-major efficiency in parametric multi-objective programming

作　　者：李毛亲[1] 

机构地区：[1]台州学院数学系,浙江临海317000

出　　处：《浙江师范大学学报（自然科学版）》2009年第2期138-142,共5页Journal of Zhejiang Normal University:Natural Sciences

基　　金：浙江省台州学院重点科研项目(08ZD03)

摘　　要：把Rm空间的αk-较多锥分解成有限个内部非空的尖凸锥之并,用2个集合的差的形式给出了Pareto有效点集和αk-较多有效点集的新的表达式,由此得到了αk-较多有效性与Pareto有效性之间的关系;进而讨论并得到了当目标函数为集值映射时参数多目标最优化问题αk-较多有效点集和有效解集在半连续意义下的稳定性结果.In R^m, the αk-major cone was decomposed into a union of finite pointed convex cones with nonempty interior, new representations of the set of Pareto efficient points and the set of αk-major efficient Points were given. Furthermore a relationship between αk-major efficiency and Pareto efficiency was obtained. Based on these results, the stability of the set of αk-major efficient points and efficient solution set were investigated in parametric multi-objective programming with set-valued objective map.

关 键 词：参数多目标规划 集值映射 稳定性 Pareto有效性 αk-较多有效性 上(下)半连续 

分 类 号：O221.6[理学—运筹学与控制论] C931.1[理学—数学]