集值映射向量优化问题的ε-超有效解(英文)  

ε-Super Efficient Solutions of Vector Optimization Problems with Set-Valued Maps

作　　者：凌晨[1] 

机构地区：[1]浙江财经学院统计运筹系,杭州310012

出　　处：《运筹学学报》2001年第3期51-56,共6页Operations Research Transactions

摘　　要：本文引进了集值映射向量优化问题的ε－超有效解概念，并在集值映射为近似广义锥次似凸的假设下，建立了关于ε－超有效解的标量化定理和Ｌａｇｒａｎｇｅ乘子定理．In this paper, the ε-super efficient solution for set-valued map vector optimization is introduced. And under the assumption of the nearly generalized cone-subconvexlikeness for set-valued maps, the scalarization theorem and Lagrange multiplier theorem for ε- super efficient solution are established.

关 键 词：群集值映射 Ε-超有效解 近似广义锥次似凸 LAGRANGE乘子 向量优化问题 标量化定理 

分 类 号：O224[理学—运筹学与控制论]