Affiliations: [a] College of Statistics and Data Science, Faculty of Science, Beijing University of Technology, Pingleyuan, Chaoyang District, Beijing, P.R. China | [b] School of Mathematics and Physics, North China Electric Power University, Beijing, P.R. China | [c] MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan, P.R. China
Correspondence:
[*]
Corresponding author. Jinping Zhang, School of Mathematics and Physics, North China Electric Power University, Beijing, 102206, P.R. China. E-mail: [email protected].
Abstract: This work proposes the concept of uncorrelation for fuzzy random variables, which is weaker than independence. For the sequence of uncorrelated fuzzy random variables, weak and strong laws of large numbers are studied under the uniform Hausdorff metric
dH∞
. The results generalize the law of large numbers for independent fuzzy random variables.
Keywords: Fuzzy random variable, uncorrelated, law of large numbers
