数据包络分析方法中决策单元偏序关系的建立

The Establishment of Partial Ordered Relations among Decision Making Units in Data Envelopment Analysis Method

针对基于偏序集理论的数据包络分析方法中无法给出非规模收益不变模型中决策单元偏序关系的缺陷,提供了三种常见数据包络分析模型中偏序关系的建立理论及偏序关系确定算法。该算法能够给出各个决策单元之间的偏序关系矩阵的同时也能够给出偏序关系图,这为决策者提供了更多的决策依据。最终将这一方法应用到了某省自然科学基金评价问题中。

Based on the defects that are unable to determine the partial order relations other than constantreturns to scale model of the data envelopment analysis method based on partially ordered set theory, anew method and algorithm which determine partial order relations of three different frequently used modelsare provided. This algorithm can not only give the partial order matrix among the various decision makingunits but also visualize the results directly, which should provide important decision making informationfor decision-makers. At last, this method is used in the evaluation of a Provincial Natural Science Fund.