Efficiency measurement in fuzzy additive data envelopment models
(2012) International Journal of Industrial and Systems Engineering — Vol. 10, n° 1, p. 1-20 (2012)
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- Authors
- Abstract
- Performance evaluation in conventional data envelopment analysis (DEA) requires crisp numerical values. However, the observed values of theinput 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 alpha-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.
- Affiliations
La Salle University Management Information Systems Aston University Aston Business School Tehran-North Brach, Islamic Azad University Department of Mathematics
Citations
Hatami-Marbini, A., Tavana, M., Emrouznejad, A., & Saati, S. (2012). Efficiency measurement in fuzzy additive data envelopment models. International Journal of Industrial and Systems Engineering, 10(1), 1-20. https://doi.org/10.1504/IJISE.2012.044041 (Original work published 2012)