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Discrete Dynamics in Nature and Society
Volume 2018, Article ID 1604298, 9 pages
https://doi.org/10.1155/2018/1604298
Research Article

Improved DEA Cross Efficiency Evaluation Method Based on Ideal and Anti-Ideal Points

School of Management, Shenyang University of Technology, Shenyang 110870, China

Correspondence should be addressed to Qiang Hou; moc.361@77264040981

Received 2 January 2018; Accepted 7 March 2018; Published 10 April 2018

Academic Editor: Paolo Renna

Copyright © 2018 Qiang Hou 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.

Abstract

A new model is introduced in the process of evaluating efficiency value of decision making units (DMUs) through data envelopment analysis (DEA) method. Two virtual DMUs called ideal point DMU and anti-ideal point DMU are combined to form a comprehensive model based on the DEA method. The ideal point DMU is taking self-assessment system according to efficiency concept. The anti-ideal point DMU is taking other-assessment system according to fairness concept. The two distinctive ideal point models are introduced to the DEA method and combined through using variance ration. From the new model, a reasonable result can be obtained. Numerical examples are provided to illustrate the new constructed model and certify the rationality of the constructed model through relevant analysis with the traditional DEA model.