FUZZY INTEGER-VALUED DATA ENVELOPMENT ANALYSIS WITH RESTRICTED VARIATION

In conventional data envelopment analysis (DEA) models, input and output measures 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 that the performance of DMUs with fuzzy and integer-valued measures must be evaluated while input and output variations are restricted by decision makers. Therefore, the current paper proposes a DEA-based method for assessing the efficiency of DMUs with imprecise and integer-valued factors when restricted variations are observed. To illustrate, free replicability (FR) model is extended for incorporating fuzzy numbers and some visible limitations like restrictions in resources. A numerical example is used to illustrate the approach.