DEA决策单元的广义价值效率测度模型

为了克服DEA模型存在权重取值过于灵活的缺陷,在DEA建模原理的基础上,通过引入价值偏好估计对经典DEA模型予以了科学推广,并依据该模型推广建立了能够适用于决策者价值函数为非线性函数情况的DEA权重置信域构造方法与相应的决策单元价值效率分析方法即DEA广义价值效率测度实用模型。该模型的主要优点在于:权重置信域的构造具有科学严密性和价值信息引入的可操作性,从而可以保证分析结论的可靠性。数值验证结果表明,该模型可以得出可靠、可信且具有较强分辨能力的价值效率评价结论。

A Generalized Value Efficiency Model for Data Envelopment Analysis

Aiming at overcoming the drawback of unreasonable weight flexibility in Data Envelopment Analysis(DEA),this paper presents an Applicable Generalized Value Efficiency Model(AGVEM)for DEA to measure the value efficiency of decision-making units(DMU).The AGVEM is for cases in which the decision-maker’s preference functions on outputs are nonlinear.The model is given by way of generalizing the basic theorem of DEA to accommodate value preference estimates on DMU’s outputs,through which weight assurance regions for DEA value efficiency analysis could scientifically and reasonably be introduced using the principle of multiple criteria decision making.A data experiment for verifying the AGVEM shows that the model is able to produce more reliable and powerful conclusions on DMU-discrimination.