基于CAR-DEA方法的环境效率评价研究

现有环境效率评价的DEA方法没有考虑多维偏好约束问题，即不同决策单元对不同期望产出和不期望产出的偏好不同. 以地区为例，不同地区对GDP、废水和废气赋予的权重偏好各不相同. 在这种情况下，由于各决策单元的偏好约束不同，形成多维偏好约束集，在传统DEA模型中容易出现无可行解现象. 针对这一问题，基于CAR-DEA方法，结合保证域理论，提出一种解决多维偏好约束集问题的环境效率评价模型. 采用中国工业系统的环境效率评价实例对提出的方法进行了分析和说明.

Environmental efficiency evaluation based on CAR-DEA approach

The existing environmental efficiency evaluation DEA models have not considered the issue that different decision making units (DMUs) may impose different preferences on different outputs (desirable and undesirable outputs), e.g., different DMUs may value GDP (desirable output), waste water discharge and waste gas emissions differently. This paper aims at addressing this problem. We present a DEA model incorporating desirable outputs and undesirable outputs, which can increase desirable outputs and decrease undesirable outputs simultaneously. To restrict DMUs' different preferences on outputs, we then extend the model by incorporating multiple sets AR constraints based on Context-Dependent Assurance Regions DEA approach (CAR-DEA) in recent DEA literature. An application of 30 regions in China with real data set is used to illustrate the proposed approach.