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

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/).

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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  -