Abstract
This paper deals with a concept which connects Probability and Fuzzy Set Theories: the fuzzy random variable. Fuzzy random variables represent an operational and rigorous model to formalize linguistic variables associated with numerical quantification processes (like measurements or counting). This paper offers a review of Puri and Ralescu’s definition of fuzzy random variables and gathers most of the probabilistic and statistical results and methods based on it.
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Gil, M.A., Gil, P.A., Ralescu, D.A. (1999). Fuzzy Random Variables: Modeling Linguistic Statistical Data. In: Zadeh, L.A., Kacprzyk, J. (eds) Computing with Words in Information/Intelligent Systems 2. Studies in Fuzziness and Soft Computing, vol 34. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1872-7_6
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DOI: https://doi.org/10.1007/978-3-7908-1872-7_6
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