An input relaxation measure of efficiency in fuzzy data envelopment analysis (FDEA)

Article type: Research Article

Authors: Khodabakhshi, M. | Hejrizadeh, Mona

Affiliations: Department of Mathematics, Faculty of Science, Lorestan University, Khorram Abad, Iran

Note: [] Corresponding author. E-mail: mkhbakhshi@yahoo.com (MohammadKhodabakhshi).

Abstract: While data envelopment analysis (DEA) models are very sensitiveto possible data errors, in many real applications, the data of production processes cannot be precisely measured. Fuzzy DEA is asuccessful method that allows to deal with imprecise data in DEA. In this paper, we develop fuzzy version of the input relaxation model introduced in Jahahshahloo and Khodabakhshi [15] by using some ranking methods based on the comparison of α-cuts. The resulting auxiliary crisp problems can be solved by the usual DEA software. It is shown that, using a numerical example, how the proposed model become specially useful for detecting sensitive decision-making units.

Keywords: Data envelopment analysis, input relaxation, fuzzy mathematical programming, fuzzy intervals, possibilistic programming

DOI: 10.3233/IFS-2010-0468

Journal: Journal of Intelligent & Fuzzy Systems, vol. 21, no. 6, pp. 395-403, 2010