摘要
弱DEA有效单元与偏序集的极大元之间关系密切,从偏序集理论出发刻画了四种典型DEA模型所描述的弱DEA有效性的本质特征,揭示了可能集结构变化对弱DEA有效性的影响,并对弱DEA有效性的含义给出了新的解释.最后,探讨了偏序集理论在研究DEA数据变换性质、讨论DEA模型关系、分析决策单元变更以及指标增减对弱DEA有效性影响等方面的应用.
It has close relationship between an weak DEA efficient unit and a maximum element. On the basis of the theory of partially ordered sets, some characteristic properties of weak DEA efficiency on four DEA models are given in this paper. At the same time, the meaning of weak DEA efficiency is explained. In addition, the effects upon weak DEA efficiency due to the structure change of possible productive collections are discussed by using the theory on partially ordered set. At last, this paper discusses some problems on properties of data transformation, effects upon weak DEA efficiency due to the change of the numbers of DMUs or evaluated indexes and the relationships between models.
出处
《数学的实践与认识》
CSCD
北大核心
2005年第9期140-147,共8页
Mathematics in Practice and Theory
基金
内蒙古自治区自然科学基金(200308020101)
内蒙古自治区高等学校科学研究基金(NJ03112)
内蒙古大学513人才计划项目资助
关键词
弱DEA有效性
本质特征
数据包络分析
偏序集
运筹学
data envelopment analysis
partially ordered set
weak DEA efficiency
possible productive collection
maximal element
