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### 基于双前沿面数据包络分析的区间全局 Meta-frontier Malmquist 指数及其应用研究

1. 1. 福州大学决策科研所,  福州 350116; 2. 教育部空间数据挖掘与 信息共享重点实验室,  福州 350116
• 出版日期:2018-04-25 发布日期:2021-06-29

WANG XU, WANG Yingming, LAN Yixin, WEN Binyan. Research on Interval Global Meta-Frontier Malmquist Index Based on Double Frontier Data Envelopment Analysis and Its Application[J]. Journal of Systems Science and Mathematical Sciences, 2021, 41(4): 1043-1067.

### Research on Interval Global Meta-Frontier Malmquist Index Based on Double Frontier Data Envelopment Analysis and Its Application

WANG XU1，WANG Yingming1,2,LAN Yixin1,WEN Binyan1

1. 1. Decision Sciences Institute, Fuzhou University, Fuzhou 350116; 2. Key Laboratory of Spatial Data Mining & Information Sharing of Ministry of Education, Fuzhou University, Fuzhou 350116
• Online:2018-04-25 Published:2021-06-29

Because the conventional DEA-Malmquist productivity index supposes that the research data is precise and does not consider the fuzziness and uncertainties of research data, this paper uses the intervals to describe this fuzziness and uncertainties. To deal with the technology heterogeneity of decision making units, the biased technology frontier, and the incompatibility of productivity, this paper proposes to construct an interval global meta-frontier Malmquist index based on double frontier data envelopment analysis and introduces an interval ranking approach based on modified possibility degree, which considers the optimism degree of decision makers. The proposed interval global meta-frontier Malmquist index based on double frontier data envelopment analysis is employed to analyze the industrial energy and environment productivity of 30 regions in China during 2013--2016. It finds that: 1) From the double frontier's point of view, the comprehensive productivity of Beijing, Anhui, Guizhou and Yunnan all increases, while that of Inner Mongolia, Jiangxi, Henan and Guangxi decreases. 2) The improvement of Guizhou's comprehensive technical efficiency promotes its comprehensive productivity. The improved group technology level in Jilin makes its meta-frontier technical efficiency enhanced, while the meta-frontier technical efficiency of Shandong is promoted by its enhanced group technology progress and group technology efficiency. 3) The improvement of group technology efficiency in Heilongjiang and Guizhou pushes their meta-frontier technology efficiency enhanced.
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