Lee Yueh-Chiang
Department of Business Administration, Vanung University, Zhongli, Taoyuan 32061, Taiwan.
Entropy (Basel). 2019 May 4;21(5):467. doi: 10.3390/e21050467.
Cross-efficiency evaluation is an effective approach for ranking decision-making units (DMUs), and there exist different perspectives from different cross-efficiency evaluation models. However, efficiency ranking results derived from cross-efficiency models may not be the same, and these models may provide some precious information that we cannot ignore. In this case, it may not be easy for one to decide which method should be used in some underlying assumptions, and we need several cross-efficiency evaluation models to measure simultaneously the cross-efficiency scores of DMUs. Hence, combining different viewpoints for ranking DMUs is a possible way to apply cross-efficiency evaluation. Since Shannon's entropy is an effective tool to measure uncertainty, in this study we adopt the idea of Shannon's entropy to combine cross-efficiency scores, which are obtained from different evaluation models, for comparison of DMUs. An example of commercial banks in Taiwan is used to illustrate the idea proposed in this paper.
交叉效率评估是对决策单元（DMU）进行排名的一种有效方法，不同的交叉效率评估模型存在不同的视角。然而，从交叉效率模型得出的效率排名结果可能并不相同，并且这些模型可能会提供一些我们不能忽视的宝贵信息。在这种情况下，要在某些潜在假设下决定使用哪种方法可能并不容易，我们需要几个交叉效率评估模型来同时测量决策单元的交叉效率得分。因此，结合不同观点对决策单元进行排名是应用交叉效率评估的一种可能方式。由于香农熵是衡量不确定性的有效工具，在本研究中，我们采用香农熵的思想来组合从不同评估模型获得的交叉效率得分，以用于决策单元的比较。以台湾的商业银行为例来说明本文提出的观点。
