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决策单元间的效率关系研究是效率研究中的重要领域.传统DEA模型通过计算决策单元各自最优权重情景下的效率最大值,来判断决策单元间的效率排序关系.而这种最优权重往往是极端权重,没有考虑其它权重情景.采用其它权重时,决策单元的效率值和排序往往会发生较大的变化.本文考虑了所有权重情景,提出了DEA效率概率占优模型,定义了决策单元的占优效率概率和被占优效率概率.该模型能够判断任意两个决策单元的效率概率占优关系;并将效率概率占优关系从两个决策单元扩展到决策单元与决策单元集.最后将其应用于决策单元效率排序.通过实证分析发现了两条重要结论:1)考虑所有权重情景的排序与采用极端权重的CCR效率值排序不一致;2)考虑所有权重情景时,一些无效单元的效率排序比有效单元的效率排序更高.
The research on the efficiency relationship among decision-making units is an important area in the efficiency research.The traditional DEA model judges the efficiency ranking relationship among decision-making units by calculating the maximum efficiency under the optimal weight scenarios of decision-making units, Which are extreme weights and do not consider other weight scenarios.When other weights are used, the efficiency values and sorting of decision-making units tend to change greatly.This paper considers all the weight scenarios, proposes a DEA-efficient probability dominant model, defines the decision-making unit The dominance efficiency probability and the dominance efficiency probability.The model can judge the dominance relation of the efficiency probability of any two decision units and extend the dominance relation of efficiency probability from two decision units to the decision unit and the decision unit set.Finally, And then apply it to the efficiency ranking of decision-making unit.Finally, two important conclusions are found through empirical analysis: 1) The order of considering all weight scenarios is inconsistent with the sorting of CCR efficiency values using extreme weights; 2) When considering all weighted scenarios, some invalid units The efficiency ranking is higher than the efficiency ranking of the valid units.