Volume 54, Number 6, November-December 2020
|Page(s)||1775 - 1791|
|Published online||16 September 2020|
A generalized fuzzy cost efficiency model
Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
2 Universite catholique de Louvain, Louvain School of Management and CORE, B-1348 Louvain-la-Neuve, Belgium
* Corresponding author: firstname.lastname@example.org
Accepted: 7 November 2019
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.
Mathematics Subject Classification: 90C70
Key words: Cost efficiency / sample decision-making unit / fuzzy numbers / α-cut
© EDP Sciences, ROADEF, SMAI 2020
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