A generalization of the mean-square derivative for fuzzy stochastic processes and some properties

Hadi Amirnia; Alireza Khastan

Kybernetika (2025)

  • Issue: 1, page 79-108
  • ISSN: 0023-5954

Abstract

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The purpose of this paper is to generalize and develop a mean-square calculus for fuzzy stochastic processes and study their differentiability and integrability properties. Some results for second-order fuzzy stochastic processes are presented.

How to cite

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Amirnia, Hadi, and Khastan, Alireza. "A generalization of the mean-square derivative for fuzzy stochastic processes and some properties." Kybernetika (2025): 79-108. <http://eudml.org/doc/299938>.

@article{Amirnia2025,
abstract = {The purpose of this paper is to generalize and develop a mean-square calculus for fuzzy stochastic processes and study their differentiability and integrability properties. Some results for second-order fuzzy stochastic processes are presented.},
author = {Amirnia, Hadi, Khastan, Alireza},
journal = {Kybernetika},
keywords = {fuzzy numbers; Hukuhara difference; random variables; second-order fuzzy stochastic processes; mean-square calculus},
language = {eng},
number = {1},
pages = {79-108},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A generalization of the mean-square derivative for fuzzy stochastic processes and some properties},
url = {http://eudml.org/doc/299938},
year = {2025},
}

TY - JOUR
AU - Amirnia, Hadi
AU - Khastan, Alireza
TI - A generalization of the mean-square derivative for fuzzy stochastic processes and some properties
JO - Kybernetika
PY - 2025
PB - Institute of Information Theory and Automation AS CR
IS - 1
SP - 79
EP - 108
AB - The purpose of this paper is to generalize and develop a mean-square calculus for fuzzy stochastic processes and study their differentiability and integrability properties. Some results for second-order fuzzy stochastic processes are presented.
LA - eng
KW - fuzzy numbers; Hukuhara difference; random variables; second-order fuzzy stochastic processes; mean-square calculus
UR - http://eudml.org/doc/299938
ER -

References

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