Scale efficiency with fuzzy data

Abstract

This paper measures the scale efficiency of decision-making units (DMUs) with fuzzy input and output data using fuzzy data envelopment analysis (FDEA) model. FDEA is used to measure the relative efficiencies of a set of DMUs under fuzzy environment in which the input and output data can be represented as linguistic variable characterised by fuzzy variables. The FDEA is solved using the concept of chance-constrained programming and credibility approach. In a special case, when fuzzy inputs and fuzzy outputs are independent trapezoidal or triangular fuzzy variables, the model can be transformed into crisp linear programming. Finally, numerical illustration is presented to illustrate the FDEA model to measure the scale efficiency of DMUs with fuzzy data as well as the effectiveness of the presented method.