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Chinese Journal of Management Science ›› 2014, Vol. 22 ›› Issue (3): 115-120.

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Full Rank of Fuzzy Decision Making Units Based on Enhanced Russell Measure

WANG Mei-qiang1, LI Yong-jun2   

  1. 1. College of Management, Guizhou University, Guiyang 550025, China;
    2. College of Management, University of Science and Technology of China, Hefei 230026, China
  • Received:2011-10-11 Revised:2013-01-28 Online:2014-03-20 Published:2014-03-19

Abstract: Just like crisp case, the problem of the existence of multi efficient decision making units (DMUs) under fuzzy environment is ubiquitous in application of Data Envelopment Analysis (DEA), this would make decision maker puzzled. To overcome this difficulty, a super efficiency DEA model based on enhanced Russell measure is presented in the paper firstly. Then, based on comparison of fuzzy numbers, a super efficiency DEA model based on enhanced Russell measure under fuzzy environment is also presented. Thereby, the problem of full sorting fuzzy decision making units is solved. Comparative analysis of fuzzy super efficiency DEA model based on enhanced Russell measure and based on CCR model is carried through a numerical example in the end of the paper. The proposed method will be particularly useful when the number of fuzzy DMUs are small compared with the number of criteria employed for evaluation.

Key words: fuzzy, enhanced Russell measure, super efficiency DEA model, rank

CLC Number: