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Ranking DMUs by l1-norm with fuzzy data in DEA

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  • Jahanshahloo, G.R.
  • Hosseinzadeh Lotfi, F.
  • Shahverdi, R.
  • Adabitabar, M.
  • Rostamy-Malkhalifeh, M.
  • Sohraiee, S.

Abstract

The relative efficiency of a DMU is the result of comparing the inputs and outputs of the DMU and those of other DMUs in the PPS (production possibility set). If the inputs and outputs are fuzzy, the DMUs cannot be easily evaluated and ranked using the obtained efficiency scores. In this paper, presenting a new idea for ranking of DMUs with fuzzy data. And finally, we introduce a numerical example.

Suggested Citation

  • Jahanshahloo, G.R. & Hosseinzadeh Lotfi, F. & Shahverdi, R. & Adabitabar, M. & Rostamy-Malkhalifeh, M. & Sohraiee, S., 2009. "Ranking DMUs by l1-norm with fuzzy data in DEA," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2294-2302.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2294-2302
    DOI: 10.1016/j.chaos.2007.06.130
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    References listed on IDEAS

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    1. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    2. Zhu, Joe, 2001. "Super-efficiency and DEA sensitivity analysis," European Journal of Operational Research, Elsevier, vol. 129(2), pages 443-455, March.
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    Cited by:

    1. Bagherzadeh valami, H., 2009. "Cost efficiency with triangular fuzzy number input prices: An application of DEA," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1631-1637.
    2. Xiao-Li Meng & Liu-Tang Gong & Jen-Chih Yao, 2020. "A fuzzy evaluation approach with the quasi-ordered set: evaluating the efficiency of decision making units," Fuzzy Optimization and Decision Making, Springer, vol. 19(3), pages 297-310, September.
    3. Ebubekir Karabacak & Hüseyin Ali Kutlu, 2024. "Evaluating the Efficiencies of Logistics Centers with Fuzzy Logic: The Case of Turkey," Sustainability, MDPI, vol. 16(1), pages 1-25, January.

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