title: |
Solution of Fuzzy Differential Equations with generalized differentiability using LU-parametric representation |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 785 - 790 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Barnab¨¤s BEDE(1), Luciano STEFANINI(2) |
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publication date: |
July 2011 |
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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 |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |