In this paper we define the concept of a normal fuzzy random variable and we prove the following representation theorem: Every normal fuzzy random variable equals the sum of its expected value and a mean zero random vector.
"The Concept of Normality for Fuzzy Random Variables." Ann. Probab. 13 (4) 1373 - 1379, November, 1985. https://doi.org/10.1214/aop/1176992822