Increasing the Discriminatory Power of DEA Using Shannon’s Entropy

• Published in: Entropy (Basel, Switzerland) Vol. 16; no. 3; pp. 1571 - 1585
• Main Authors: Qiwei Xie, Qianzhi Dai, Yongjun Li, An Jiang
• Format: Journal Article
• Language: English
• Published: MDPI AG 01-03-2014
• Subjects: data envelopment analysis (DEA); discrimination improvement; Shannon’s entropy
• ISSN: 1099-4300
• DOI: 10.3390/e16031571

In many data envelopment analysis (DEA) applications, the analyst always confronts the difficulty that the selected data set is not suitable to apply traditional DEA models for their poor discrimination. This paper presents an approach using Shannon’s entropy to improve the discrimination of traditional DEA models. In this approach, DEA efficiencies are first calculated for all possible variable subsets and analyzed using Shannon’s entropy theory to calculate the degree of the importance of each subset in the performance measurement, then we combine the obtained efficiencies and the degrees of importance to generate a comprehensive efficiency score (CES), which can observably improve the discrimination of traditional DEA models. Finally, the proposed approach has been applied to some data sets from the prior DEA literature.