| Issue |
RAIRO-Oper. Res.
Volume 52, Number 4-5, October–December 2018
Fuzzy Data Envelopment Analysis: Recent Developments and Applications
|
|
|---|---|---|
| Page(s) | 1445 - 1463 | |
| DOI | https://doi.org/10.1051/ro/2018019 | |
| Published online | 06 December 2018 | |
A novel fuzzy data envelopment analysis based on robust possibilistic programming: possibility, necessity and credibility-based approaches
1
Department of Industrial Engineering, Iran University of Science & Technology,
Tehran, Iran.
2
Department of Mathematics, Science and Research Branch, Islamic Azad University,
Tehran, Iran.
* Corresponding author: e_mohammadi@iust.ac.ir
Received:
28
September
2016
Accepted:
23
February
2018
Possibilistic programming approach is one of the most popular methods used to cope with epistemic uncertainty in optimization models. In this paper, several robust fuzzy data envelopment analysis (RFDEA) models are proposed by the use of different fuzzy measures including possibility, necessity and credibility measures. Despite the regular fuzzy DEA methods, the proposed models are able to endogenously adjust the confidence level of each constraints and produce both conservative and non-conservative methods based on various fuzzy measures. The developed RFDEA models are then linearized and numerically compared to regular fuzzy DEA models. Illustrative results in all of the FDEA and RFDEA models show that, maximum efficiency is obtained for possibility, credibility and necessity-based models, respectively.
Mathematics Subject Classification: 90C05 / 28E10 / 90C70
Key words: Data envelopment analysis / fuzzy DEA / robust fuzzy DEA / robust optimization / uncertainty / possibility measure / necessity measure / credibility measure
© EDP Sciences, ROADEF, SMAI 2018
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