Hatami-Marbini, A., M. Tavana, A. Emrouznejad and S. Saati (2012). “Efficiency measurement in fuzzy additive Data Envelopment Analysis.” International Journal of Industrial and Systems Engineering 10(1): 1-20.

Hatami-Marbini, A., M. Tavana, A. Emrouznejad and S. Saati (2012). “Efficiency measurement in fuzzy additive Data Envelopment Analysis.” International Journal of Industrial and Systems Engineering 10(1): 1-20.

Performance evaluation in conventional data envelopment analysis (DEA) requires crisp numerical values. However, the observed values of the input and output data in real-world problems are often imprecise or vague. These imprecise and vague data can be represented by linguistic terms characterised by fuzzy numbers in DEA to reflect the decision-makers’ intuition and subjective judgements. This paper extends the conventional DEA models to a fuzzy framework by proposing a new fuzzy additive DEA model for evaluating the efficiency of a set of decision-making units (DMUs) with fuzzy inputs and outputs. The contribution of this paper is threefold: (1) we consider ambiguous, uncertain and imprecise input and output data in DEA, (2) we propose a new fuzzy additive DEA model derived from the ?-level approach and (3) we demonstrate the practical aspects of our model with two numerical examples and show its comparability with five different fuzzy DEA methods in the literature.