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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 307108, 7 pages
Research Article

Data Envelopment Analysis with Uncertain Inputs and Outputs

Meilin Wen,1,2 Linhan Guo,1,2 Rui Kang,1,2 and Yi Yang1,2

1Science and Technology on Reliability and Environmental Engineering Laboratory, Beijing 100191, China
2School of Reliability and Systems Engineering, Beihang University, Beijing 100191, China

Received 27 June 2014; Accepted 15 July 2014; Published 5 August 2014

Academic Editor: Xiang Li

Copyright © 2014 Meilin Wen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Data envelopment analysis (DEA), as a useful management and decision tool, has been widely used since it was first invented by Charnes et al. in 1978. On the one hand, the DEA models need accurate inputs and outputs data. On the other hand, in many situations, inputs and outputs are volatile and complex so that they are difficult to measure in an accurate way. The conflict leads to the researches of uncertain DEA models. This paper will consider DEA in uncertain environment, thus producing a new model based on uncertain measure. Due to the complexity of the new uncertain DEA model, an equivalent deterministic model is presented. Finally, a numerical example is presented to illustrate the effectiveness of the uncertain DEA model.