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针对DEA评价与排序时单独采用相对最优效率模型与相对最差效率模型,存在丢失重要信息的不足,引入DEA模型区间效率的概念,把两种评价模型有机结合,可实现对决策单元更合理的评价与排序。进一步改进了DEA区间效率模型,并对其计算效果进行分析,找出了计算决策单元区间效率的合理模型。在此基础上引入决策者的偏好系数β来计算区间效率的评价指标,分析得出当0≤β≤0.5时采用相对最差效率模型,0.5≤β≤1时采用相对最优效率模型来计算区间效率这一结论。通过具体的数值算例,对决策者偏好不同的情况下决策单元区间效率的评价指标进行计算和敏感性分析,计算结果表明,改进的DEA区间效率模型对决策单元排序更为合理。
For DEA evaluation and ranking alone, the relative optimal efficiency model and the relative worst efficiency model are used, which lacks the important information missing, and introduces the concept of DEA model interval efficiency. Combining the two evaluation models can make the decision-making unit more reasonable The evaluation and sorting. The DEA interval efficiency model is further improved and its calculation results are analyzed. A reasonable model for calculating the efficiency of the decision-making unit interval is found out. On the basis of this, the preference coefficient β of the decision maker is introduced to calculate the evaluation index of the interval efficiency. The analysis shows that the relative worst efficiency model is adopted when 0≤β≤0.5, and the relative optimal efficiency model is used when 0.5≤β≤1 Interval efficiency of this conclusion. Through numerical examples, the evaluation index of the efficiency of decision-making unit under different preferences of decision makers is calculated and the sensitivity analysis is carried out. The results show that the improved DEA efficiency model is more reasonable for the decision-making units.