在原有的非径向DEA模型基础上进行模糊扩展,建立了输入输出为三角模糊数的非径向DEA模型,并根据模糊规划取α-截集的方法求解模型。在相对已有模糊DEA模型更加合理、更强区分能力的效率测算基础上,定义决策单元的α-水平模糊DEA有效性,从而完成了对决策单元的分类。然后在给定α-水平下对模糊决策单元进行了排序。最后给出了一个算例。
A non-radial fuzzy DEA model is presented to measure efficiency score of DMU, in which inputs and outputs are triangular numbers, based on an improved DEA model. The model is solved by using fuzzy programming methods based on the α- cuts. The definition of α- levels fuzzy DEA efficient of DMUs are given based on their relatively reasonable interval efficiency scores comparing the other fuzzy models and DMUs are classified at same time. Then DMUs are ranked at some α- level. In the end, an empirical example is illustrated.