A convergence of fuzzy random variables

Dug Hun Hong

Kybernetika (2003)

  • Volume: 39, Issue: 3, page [275]-280
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Hong, Dug Hun. "A convergence of fuzzy random variables." Kybernetika 39.3 (2003): [275]-280. <http://eudml.org/doc/33640>.

@article{Hong2003,
abstract = {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.},
author = {Hong, Dug Hun},
journal = {Kybernetika},
keywords = {fuzzy number; fuzzy random variable; strong law of large numbers; fuzzy number; fuzzy random variable; strong law of large numbers},
language = {eng},
number = {3},
pages = {[275]-280},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A convergence of fuzzy random variables},
url = {http://eudml.org/doc/33640},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Hong, Dug Hun
TI - A convergence of fuzzy random variables
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 3
SP - [275]
EP - 280
AB - 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.
LA - eng
KW - fuzzy number; fuzzy random variable; strong law of large numbers; fuzzy number; fuzzy random variable; strong law of large numbers
UR - http://eudml.org/doc/33640
ER -

References

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