Data envelopment analysis with integer-valued factors in a fuzzy environment

In real applications, there are situations that the performance of decision making units (DMUs) should be evaluated while imprecise and integer-valued inputs and/or outputs present. For this purpose, in the current paper, models and approaches are proposed to evaluate the efficiency of DMUs where fuzzy and integer-valued data exist. To illustrate, methods are suggested to solve some integer-valued data envelopment analysis (DEA) models in the presence of fuzzy inputs and outputs, i.e. some fuzzy number ranking methods and the graded mean integration representation method are used. A numerical example is utilized to clarify approaches.