A fuzzy non-radial data envelopment analysis (dea) approach to measure regional environmental performance of china

Zhongbao Zhou1, Wei Zhao1, Siya Lui1, Chaoqun Ma1, Wenbin Liu1,2

1 School of Business Administration, Hunan University, Changsha 410082, P.R. China
2 KBS, University of Kent, Canterbury, Kent, CT2 7NZ, UK


Data envelopment analysis (DEA) has been recently utilized as a multiple criteria tool for environmental performance evaluation by incorporating undesirable outputs. Most DEA models to measure environmental performance follows the assumptions of crisp data and radial measures. In this paper, we present a fuzzy non-radial DEA approach with Russell measure for environmental performance evaluation. A pair of bi-level mathematical programs is formulated to calculate the lower and upper bounds of the fuzzy efficiency score of the environmental efficiency at specific levels. We transform this pair of bi-level mathematical programs into a pair of conventional linear programs. A case study of 29 provinces, municipalities and autonomous regions of China using the proposed fuzzy non-radial DEA approach is also presented.


environmental efficiency; fuzzy DEA; Russell measure; undesirable output

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