基于信息熵的DEA交叉效率综合评价

Comprehensive Evaluation on DEA Cross-efficiency Based on Information Entropy

DEA交叉效率作为自评和互评体系相结合的用于决策单元评价并排序的方法,自1986年提出至今已得到充分发展,伴随着解决旧模型某个方面的缺陷或在应用方面的不足而产生了许多新模型,但这些模型总有各自的侧重点。利用信息熵综合不同DEA交叉效率模型来评价决策单元的相对效率,可以在一定程度上平衡各个模型的缺陷,使得最终的评价效率更客观和更可靠。最后选用一个经典数据算例验证该方法的有效性。

DEA cross - efficiency, which combines the self - evaluation and peer - evaluation together to evaluate decision making units, was put forward in 1986 and has been significantly developed. Many new models have been proposed in over- coming the defects of previous models. However, each model has its own emphasis. The paper provides a methodology for combining the DEA cross - efficiencies of different models based upon Shannon＇ s entropy formula. The proposed methodol- ogy can balance the defect of each model so that the final evaluation results are more objective and more reliable. A classi- cal numerical example is tested to show the validity of the proposed methodology.