This book is intended to present the milestones in the progression
of uncertain Data envelopment analysis (DEA). Chapter 1 gives some
basic introduction to uncertain theories, including probability
theory, credibility theory, uncertainty theory and chance theory.
Chapter 2 presents a comprehensive review and discussion of basic
DEA models. The stochastic DEA is introduced in Chapter 3, in which
the inputs and outputs are assumed to be random variables. To
obtain the probability distribution of a random variable, a lot of
samples are needed to apply the statistics inference approach.
Chapter 4 and 5 provide two uncertain DEA methods to evaluate the
DMUs with limited or insufficient statistical data, named fuzzy DEA
and uncertain DEA. In order to evaluate the DMUs in which
uncertainty and randomness appear simultaneously, the hybrid DEA
based on chance theory is presented in Chapter 6.
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