Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
Abstract: (1082 Views)
In conventional data envelopment analysis (DEA) models, inputs, and outputs are usually considered as precise and continuous factors. Furthermore, inputs and outputs of inefficient decision-making units (DMUs) change arbitrarily for meeting the efficient frontier. Nevertheless, there are situations in the real world where the performance of DMUs with fuzzy and integer-valued measures must be evaluated while input and output variables are restricted by the decision-maker. Therefore, the current paper proposes a DEA-based method for assessing the relative efficiency of DMUs with imprecise and integer-valued factors when restricted variations are observed. To illustrate, the free replicability (FR) model is extended for incorporating fuzzy numbers and some visible limitations like restrictions on resources. Furthermore, the method is developed for situations where flexible measures are presented. A numerical example is used to illustrate the approach.
Jahani Sayyad Noveiri M, Ahmadi B. Fuzzy free replicability model with restricted variation. International Journal of Applied Operational Research 2023; 11 (3) :21-30 URL: http://ijorlu.liau.ac.ir/article-1-607-en.html