Data envelopment analysis cross-efficiency model in fuzzy environments

Article type: Research Article

Authors: Chen, Lei | Wang, Ying-Ming^*

Affiliations: Decision Sciences Institute, Fuzhou University, Fuzhou, PR China

Correspondence: [*] Corresponding author. Ying-Ming Wang, Decision Sciences Institute, Fuzhou University, Fuzhou 350116, PR China. Tel.: +86 0591 22866677; E-mail: [email protected].

Abstract: The fuzzy data envelopment analysis (FDEA) method lacks sufficient discrimination power to rank efficient decision making units (DMUs) with fuzzy data; moreover, it evaluates DMUs using only self-evaluation. This paper develops the fuzzy cross efficiency (FCE) DEA model that combines self-evaluation with peer-evaluation to eliminate the weaknesses of traditional FDEA. This method solves the efficiency evaluation problem in fuzzy environments from a new perspective. An effective method is provided to solve this model, and the ranking results of DMUs at different α-levels are obtained. Finally, an example is given to illustrate the proposed method in greater detail.

Keywords: Data envelopment analysis (DEA), fuzzy cross efficiency (FCE), ranking

DOI: 10.3233/IFS-151878

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 5, pp. 2601-2609, 2016