摘要
本文引进Banach空间中的ε-扩展集和ε-扩展锥概念．借助ε-扩展锥，定义了多目标规划问题的ε-恰当有效解和局部ε-恰当有效解，并且研究了这些解的性质．此外还讨论了ε-恰当有效解与某些其它恰当有效解的关系．
In this paper, the ε-expanding set and the ε-expanding cone in Banach space are introduced. With the help of them, the ε-properly efficient solution and the local ε-properly efficient solution of multiobjective programming problem are defined and the properties of this solutions are studied. Furthermore, the relations between the ε-properly efficient solution and some other properly efficient solutions are discussed.
出处
《系统科学与数学》
CSCD
北大核心
1999年第1期72-78,共7页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金
