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Symmetry 2018, 10(9), 384;

A New Evaluation for Solving the Fully Fuzzy Data Envelopment Analysis with Z-Numbers

Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran 46818-53617, Iran
Author to whom correspondence should be addressed.
Received: 19 August 2018 / Revised: 27 August 2018 / Accepted: 29 August 2018 / Published: 5 September 2018
(This article belongs to the Special Issue Solution Models based on Symmetric and Asymmetric Information)
Full-Text   |   PDF [286 KB, uploaded 5 September 2018]


There are numerous models for solving the efficiency evaluation in data envelopment analysis (DEA) with fuzzy input and output data. However, because of the limitation of those strategies, they cannot be implemented for solving fully fuzzy DEA (FFDEA). Furthermore, in real-world problems with imprecise data, fuzziness is not sufficient to consider, and the reliability of the information is also very vital. To overcome these flaws, this paper presented a new method for solving the fully fuzzy DEA model where all parameters are Z-numbers. The new approach is primarily based on crisp linear programming and has a simple structure. Moreover, it is proved that the only existing method to solve FFDEA with Z-numbers is not valid. An example is also presented to illustrate the efficiency of our proposed method and provide an explanation for the content of the paper. View Full-Text
Keywords: data envelopment analysis; Z-numbers; full fuzzy environment; fuzzy efficiency data envelopment analysis; Z-numbers; full fuzzy environment; fuzzy efficiency
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Namakin, A.; Najafi, S.E.; Fallah, M.; Javadi, M. A New Evaluation for Solving the Fully Fuzzy Data Envelopment Analysis with Z-Numbers. Symmetry 2018, 10, 384.

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