在已有关于DEA交叉效率评价模型中,激进型模型和仁慈型模型会因评价结果不一致而导致实际应用中难以对它们予以抉择的难题;中立型模型虽在形式上规避了前述问题,但其本身存在着理论偏差。针对上述问题,基于TOPSIS的理想点构造方法,提出了一种关于DEA交叉效率评价的新模型,即基于理想决策单元参照求解策略的DEA交叉效率评价模型。该模型不仅具有理论的严谨性,可以规避激进型模型与仁慈型模型之间的选择难题,而且相对于它们而言能够更好地坚持DEA最有利于被评价决策单元的基本思想。数值模拟分析表明新模型具有解决实际问题的较好适用性。
Among the existing DEA cross-efficiency models, aggressive model and benevolent model may lead to inconsistent ranking results which make it hard for decision maker to choose between them.Although neutral model formally solves the problem above, there is obviously a theoretical flaw in it. In view of the above questions, a new DEA cross-efficiency model, DEA cross-efficiency evaluation model by the solution strategy referring to the ideal DMU is proposed in this paper. The new model cannot only keep the decision maker from the dilimma of choosing, but also is better to stick to the DEA basis principle which is in favour of the evaluated DMU by comparing with existing models. Numerical simulation shows that the new model is more applicable to real world decisions.
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