The concept of cost efficiency has become tremendously popular in data envelopment analysis (DEA) as it serves to assess a decision-making unit (DMU) in terms of producing minimum-cost outputs. A large variety of precise and imprecise models have been put forward to measure cost efficiency for the DMUs which have a role in constructing the production possibility set; yet, there’s not an extensive literature on the cost efficiency (CE) measurement for sample DMUs (SDMUs). In an effort to remedy the shortcomings of current models, herein is introduced a generalized cost efficiency model that is capable of operating in a fuzzy environment-involving different types of fuzzy numbers-while preserving the Farrell’s decomposition of cost efficiency. Moreover, to the best of our knowledge, the present paper is the first to measure cost efficiency by using vectors. Ultimately, a useful example is provided to confirm the applicability of the proposed methods.
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DOI : 10.1051/ro/2019102
Keywords: Cost efficiency, sample decision-making unit, fuzzy numbers, $$-cut
@article{RO_2020__54_6_1775_0,
author = {Aghayi, Nazila and Salehpour, Samira},
title = {A generalized fuzzy cost efficiency model},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {1775--1791},
year = {2020},
publisher = {EDP Sciences},
volume = {54},
number = {6},
doi = {10.1051/ro/2019102},
mrnumber = {4150232},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2019102/}
}
TY - JOUR AU - Aghayi, Nazila AU - Salehpour, Samira TI - A generalized fuzzy cost efficiency model JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 1775 EP - 1791 VL - 54 IS - 6 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/ro/2019102/ DO - 10.1051/ro/2019102 LA - en ID - RO_2020__54_6_1775_0 ER -
%0 Journal Article %A Aghayi, Nazila %A Salehpour, Samira %T A generalized fuzzy cost efficiency model %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 1775-1791 %V 54 %N 6 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/ro/2019102/ %R 10.1051/ro/2019102 %G en %F RO_2020__54_6_1775_0
Aghayi, Nazila; Salehpour, Samira. A generalized fuzzy cost efficiency model. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 6, pp. 1775-1791. doi: 10.1051/ro/2019102
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