A convergence of fuzzy random variables
Kybernetika, Tome 39 (2003) no. 3, p. [275]
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In this paper, a general convergence theorem of fuzzy random variables is considered. Using this result, we can easily prove the recent result of Joo et al, which gives generalization of a strong law of large numbers for sums of stationary and ergodic processes to the case of fuzzy random variables. We also generalize the recent result of Kim, which is a strong law of large numbers for sums of levelwise independent and levelwise identically distributed fuzzy random variables.
Classification :
60B12
Keywords: fuzzy number; fuzzy random variable; strong law of large numbers
Keywords: fuzzy number; fuzzy random variable; strong law of large numbers
@article{KYB_2003__39_3_a1,
author = {Hong, Dug Hun},
title = {A convergence of fuzzy random variables},
journal = {Kybernetika},
pages = {[275]},
publisher = {mathdoc},
volume = {39},
number = {3},
year = {2003},
mrnumber = {1995730},
zbl = {1249.60007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2003__39_3_a1/}
}
Hong, Dug Hun. A convergence of fuzzy random variables. Kybernetika, Tome 39 (2003) no. 3, p. [275]. http://geodesic.mathdoc.fr/item/KYB_2003__39_3_a1/