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An integrated fuzzy DEA-fuzzy AHP approach: a new model for ranking decision-making units

Author

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  • Seyed Mostafa Alem
  • Fariborz Jolai
  • Salman Nazari-Shirkouhi

Abstract

The data envelopment analysis (DEA) model is a mathematical programming model that helps to evaluate relative efficiency for each decision-making unit (DMU). In a standard DEA model, we need crisp data, but data in the real world is often imprecise. So in a fuzzy environment, different models are developed for DEA. In fuzzy models, the efficiency scores of DMUs are fuzzy efficiency values or intervals of efficiency. In this paper, a new model is constructed for performance evaluation problems ranking of decision-making units in the fuzzy environment. In this approach, the fuzzy efficiency score, input, and output of a DMU are considered as triangular fuzzy number. To achieve the best ranking of DMUs, fuzzy analytical hierarchy process (FAHP) is applied. The results of the proposed fuzzy data envelopment analysis (FDEA) model are fuzzy triangular numbers that can be used as input for FAHP. Solving FAHP leads to a full ranking of DMUs. Finally, to illustrate the proposed model an example with six DMUs is presented.

Suggested Citation

  • Seyed Mostafa Alem & Fariborz Jolai & Salman Nazari-Shirkouhi, 2013. "An integrated fuzzy DEA-fuzzy AHP approach: a new model for ranking decision-making units," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 17(1), pages 38-58.
    • Handle: RePEc:ids:ijores:v:17:y:2013:i:1:p:38-58
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    Cited by:

    1. Barak, Sasan & Dahooei, Jalil Heidary, 2018. "A novel hybrid fuzzy DEA-Fuzzy MADM method for airlines safety evaluation," Journal of Air Transport Management, Elsevier, vol. 73(C), pages 134-149.

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