Designing a New Efficiency Ranking Method in Data Envelopment Analysis Using Fuzzy Inference System

Document Type : Research Paper


1 Assistant Prof., Department of Industrial Engineering, Faculty of Managment and Industrial Engineering, Malek Ashtar University, Tehran, Iran.

2 Ph.D. Candidate, Department of Industrial Engineering, Faculty of Managment and Industrial Engineering, Malek Ashtar University, Tehran, Iran.


Objective: Data envelopment analysis is a well-known method based on mathematical
programming to measure the efficiency of decision-making units. This approach
identifies some units as efficient units set. According to these units, it constitutes an
efficient frontier. In this case, discernment between efficient decision-making units are is
impossible because several decision-makers have the same efficiency score.
Methods: This study presents a new method for ranking efficient units in fuzzy data
envelopment analysis. In this study, using a fuzzy inference system for ranking efficient
units is proposed as a new method. In the proposed method, the efficient and inefficient
units are first separated from each other using data envelopment analysis. Then, the
concepts of fuzzy inference system are used to rank efficient units.
Results: The information of inefficient units is in a way which the fuzzy data
envelopment analysis fails to assign an equivalent value of one to these unit’s efficiency.
According to this concept, in the proposed method, each of these inefficient units is
considered as a rule, and the amount of these rules are fired by the efficient units, has
used as an indicator for their ranking.
Conclusion: Finally, a numerical example is performed to check the accuracy of the
model's performance. In this example, the data used in one of the basic articles in this
field were used and it was found that the results obtained from the proposed method are
quite similar to the results of the mentioned research.


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