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在传统的DEA模型中,最优相对效率模型是在不大于1的范围内研究决策单元的效率的,最差相对效率模型是在不小于1的范围内研究决策单元的效率,这两种模型在研究投影问题时,是在不同的范围内进行的,有一定的片面性.将在interval DEA模型中,研究决策单元的投影问题,该模型是在相同的约束域内研究最优和最差相对效率模型,得出的结论将更加全面,通过两个定理给出了非DEA有效的决策单元在DEA有效面上的投影表达式和非DEA无效的决策单元在DEA无效面上的投影表达式.同时,通过一个实例对决策单元在interval DEA模型中的投影结果与在传统的DEA模型的投影结果进行了比较,发现投影结果比传统模型得到的投影结果对实际的生产有更强的指导意义.
In the traditional DEA model, the optimal relative efficiency model is to study the efficiency of decision-making unit in the range of not more than 1. The worst relative efficiency model is to study the efficiency of decision-making unit in the range of not less than 1. These two models In the study of projection problem, it is carried out in different scope and has a certain one-sidedness.The projection of decision-making unit will be studied in the interval DEA model, which is to study the optimal and the worst relative efficiency in the same constraint domain Model, the conclusion will be more comprehensive, and the projection expression of DEA valid decision-making unit’s effective surface and non-DEA invalid decision unit’s DEA invalid surface are given by two theorems. The projection results of decision-making unit in the interval DEA model are compared with the projection results in the traditional DEA model through an example. It is found that the projection result has stronger guiding significance to the actual production than the projection result of the traditional model.