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This paper offers a fuzzy optimization framework for data envelopment analysis (DEA) to evaluate the relative efficiency of decision making units (DMUs) with parametric interval-valued fuzzy variable-based inputs and outputs. The parametric interval-valued fuzzy variable-based inputs and outputs is employed to capture the uncertainty of data on the basis of professional judgements or empirical estimations. The DEA problem is formulated as fuzzy expectation model with credibility constraints. When the inputs and outputs are mutually independent parametric interval-valued triangular fuzzy variables, we investigate the parametric equivalent representations of expectation objective function and chance constraints. In order to find the optimal solution of our DEA model, a domain decomposition method is proposed. Finally, the numerical example on the sustainable supplier evaluation and selection problem is provided to demonstrate the efficiency of the proposed DEA model and domain decomposition method.
Bai, Xuejie 1 ; Zhang, Feng 1 ; Liu, Yankui 1
@article{RO_2018__52_2_619_0,
author = {Bai, Xuejie and Zhang, Feng and Liu, Yankui},
title = {Modeling fuzzy data envelopment analysis under robust input and output data},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {619--643},
publisher = {EDP-Sciences},
volume = {52},
number = {2},
year = {2018},
doi = {10.1051/ro/2017038},
zbl = {1409.90234},
mrnumber = {3880531},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2017038/}
}
TY - JOUR AU - Bai, Xuejie AU - Zhang, Feng AU - Liu, Yankui TI - Modeling fuzzy data envelopment analysis under robust input and output data JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2018 SP - 619 EP - 643 VL - 52 IS - 2 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ro/2017038/ DO - 10.1051/ro/2017038 LA - en ID - RO_2018__52_2_619_0 ER -
%0 Journal Article %A Bai, Xuejie %A Zhang, Feng %A Liu, Yankui %T Modeling fuzzy data envelopment analysis under robust input and output data %J RAIRO - Operations Research - Recherche Opérationnelle %D 2018 %P 619-643 %V 52 %N 2 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ro/2017038/ %R 10.1051/ro/2017038 %G en %F RO_2018__52_2_619_0
Bai, Xuejie; Zhang, Feng; Liu, Yankui. Modeling fuzzy data envelopment analysis under robust input and output data. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 619-643. doi: 10.1051/ro/2017038
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