| 偏序集理论在DEA相关理论中的应用研究 |
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| 引用本文： | 马占新.偏序集理论在DEA相关理论中的应用研究[J].系统工程学报,2002,17(3):193-198,235. |
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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,呼和浩特,010021 |
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| 基金项目： | 船舶工业国防科技应用、基础研究基金资助项目 (2 0 0 0 J40 .3 0 .12 ) |
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| 摘 要： | 在文1]的基础上，刻画了DEA有效（C^2WH)的本质特征，给出了决策单元为DEA有效（C^2WH）的一个充要条件，论述了偏序集理论在分析有效生产前沿面构成、研究数据变换性质、讨论模型关系、分析决策单元变更以及指标增减对DEA有效性影响等方面的应用。针对4个典型DEA模型，给出了一些建立在偏序集理论基础上的结论。
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| 关 键 词： | 偏序集理论 DEA 数据包络分析 有效性 RGS^2模型 |
| 文章编号： | 1000-5781(2002)03-0193-06 |
Applying theory of partially ordered sets to study data envelopment analysis |
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| MA Zhan,xin.Applying theory of partially ordered sets to study data envelopment analysis[J].Journal of Systems Engineering,2002,17(3):193-198,235. |
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| Authors: | MA Zhan xin |
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| Abstract: | On the basis of conclusions given in paper, this paper gives a characterization of the effective units in DEA, and a necessary and sufficient condition for DEA efficiency(C 2WH) is provided. At the same time, some problems (such as structures of production frontiers, properties of data transformation, the effects upon DEA efficiency due to the change of the numbers of DMUs or evaluated indexes and the relationships between models, etc.)are discussed by using the theory on partially ordered set in order to show off the important role of it. Some results on four typical DEA models are given. |
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| Keywords: | data envelopment analysis partially ordered set DEA efficiency possible productive collection |
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