Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Solution of Fuzzy Differential Equations with generalized differentiability using LU-parametric representation

Authors
Barnabas Bede, Luciano Stefanini
Corresponding Author
Barnabas Bede
Available Online August 2011.
DOI
10.2991/eusflat.2011.106How to use a DOI?
Abstract

fuzzy numbers and fuzzy-valued functions, to obtain valid approximations of fuzzy generalized derivative and to solve fuzzy differential equations. The main result is that a fuzzy differential initial-value problem can be translated into a system of in nitely many ordinary differential equations and, by the LU-parametric representation, the in nitely many equations can be approximated ef ciently by a nite set of four ODEs. Some examples are included. Keywords-- Parametric Fuzzy Partition, Fuzzy Transform, Smoothing Functions, Fuzzy Numbers

Copyright
© 2011, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

Volume Title
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
Series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
10.2991/eusflat.2011.106
ISSN
1951-6851
DOI
10.2991/eusflat.2011.106How to use a DOI?
Copyright
© 2011, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Barnabas Bede
AU  - Luciano Stefanini
PY  - 2011/08
DA  - 2011/08
TI  - Solution of Fuzzy Differential Equations with generalized differentiability using LU-parametric representation
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 785
EP  - 790
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.106
DO  - 10.2991/eusflat.2011.106
ID  - Bede2011/08
ER  -