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.
Publié le : 1985-11-14
Classification:
Fuzzy set,
fuzzy random variable,
embedding,
Gaussian element,
60D05,
03E72
@article{1176992822,
author = {Puri, Madan L. and Ralescu, Dan A.},
title = {The Concept of Normality for Fuzzy Random Variables},
journal = {Ann. Probab.},
volume = {13},
number = {4},
year = {1985},
pages = { 1373-1379},
language = {en},
url = {http://dml.mathdoc.fr/item/1176992822}
}
Puri, Madan L.; Ralescu, Dan A. The Concept of Normality for Fuzzy Random Variables. Ann. Probab., Tome 13 (1985) no. 4, pp. 1373-1379. http://gdmltest.u-ga.fr/item/1176992822/