Modeling Fuzzy Data Envelopment Analysis with Expectation Criterion

This paper presents a new class of fuzzy expectation data envelopment analysis (FEDEA) models with credibility constraints. Since the proposed model contains the credibility of fuzzy events in the constraints and the expected value of a fuzzy variable in the objective, the solution process is very complex. Thus, in the case when the inputs and outputs are mutually independent trapezoidal fuzzy variables, we discuss the equivalent nonlinear forms of the programming model, which can be solved by standard optimization software. At the end of this paper, one numerical example is also provided to illustrate the efficiency of decision-making unites (DMUs) in the proposed model.