| 关于弱DEA有效性的本质特征 |
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| 引用本文： | 马占新.关于弱DEA有效性的本质特征[J].数学的实践与认识,2005,35(9):140-147. |
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| 作者姓名： | 马占新 |
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| 作者单位： | 内蒙古大学经济管理学院,内蒙古,呼和浩特,010021 |
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| 基金项目： | 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 |
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| 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.
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| 关 键 词： | 数据包络分析 偏序集 弱DEA有效 生产可能集 极大元 |
| 修稿时间： | 2003年1月13日 |
On Characterizations of Weak DEA-Efficient Units |
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| MA Zhan-xin.On Characterizations of Weak DEA-Efficient Units[J].Mathematics in Practice and Theory,2005,35(9):140-147. |
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| Authors: | MA Zhan-xin |
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| Abstract: | 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. |
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| Keywords: | data envelopment analysis partially ordered set weak DEA efficiency possible productive collection maximal element |
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