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

Seyed Mostafa Alem, Fariborz Jolai and Salman Nazari-Shirkouhi

International Journal of Operational Research, 2013, vol. 17, issue 1, 38-58

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.

Keywords: efficiency analysis; fuzzy DEA; data envelopment analysis; FDEA; fuzzy AHP; analytical hierarchy process; FAHP; fuzzy logic; decision making units; DMU ranking; fuzzy triangular numbers. (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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