Data envelopment analysis (DEA) is a methodology for measuring the
relative efficiencies of a set of decision making units (DMUs) that use
multiple inputs to produce multiple outputs. Crisp input and output data
are fundamentally indispensable in conventional DEA.
However, the
observed values of the input and output data in real-world problems are
sometimes imprecise or vague. Many researchers have proposed various
fuzzy methods for dealing with the imprecise and ambiguous data in DEA.
In this study, we provide a taxonomy and review of the fuzzy DEA
methods. We present a classification scheme with four primary
categories, namely, the tolerance approach, the a-level based approach,
the fuzzy ranking approach and the possibility approach. We discuss each
classification scheme and group the fuzzy DEA papers published in the
literature over the past 20 years.
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