3.4.4: Probabilistic approach
The basic concepts of the probabilistic approach were proposed by Zadeh (1978). According to Zadeh (1978), the relationships of a fuzzy variable and a stochastic variable with a probability distribution function are the same. As in the linear programming models, the coefficients and variables are fuzzy as well as the constraints. Therefore, the probabilities of the fuzzy constraints can be determined by probability theory.
First, Guo et al. (2000) constructed fuzzy DEA models based on the necessity measure. Then Lertworasirikul, Fang, Joines, and Nuttle (2002) and Lertworasirikul, Fang, Nuttle, and Joines (2002) proposed the credibility measure for solving fuzzy DEA models. They considered two aspects of optimistic ...
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