Efficiency measurement in fuzzy additive data envelopment analysis

Adel Hatami-Marbini, Madjid Tavana, Ali Emrouznejad, Saber Saati

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)


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 α-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.

Original languageEnglish
Pages (from-to)1-20
Number of pages20
JournalInternational Journal of Industrial and Systems Engineering
Issue number1
Publication statusPublished - 2 Dec 2011
Externally publishedYes


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