Solution of Fuzzy Differential Equations with generalized differentiability using LU-parametric representation
Barnabas Bede, Luciano Stefanini
Available Online August 2011.
- https://doi.org/10.2991/eusflat.2011.106How to use a DOI?
- 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
- Open Access
- This is an open access article distributed under the CC BY-NC license.
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 PB - Atlantis Press SP - 785 EP - 790 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2011.106 DO - https://doi.org/10.2991/eusflat.2011.106 ID - Bede2011/08 ER -