Jafari, R orcid.org/0000-0001-7298-2363 and Yu, W (2017) Fuzzy Modeling for Uncertainty Nonlinear Systems with Fuzzy Equations. Mathematical Problems in Engineering, 2017. 8594738. ISSN 1024-123X
Abstract
The uncertain nonlinear systems can be modeled with fuzzy equations by incorporating the fuzzy set theory. In this paper, the fuzzy equations are applied as the models for the uncertain nonlinear systems. The nonlinear modeling process is to find the coefficients of the fuzzy equations. We use the neural networks to approximate the coefficients of the fuzzy equations. The approximation theory for crisp models is extended into the fuzzy equation model. The upper bounds of the modeling errors are estimated. Numerical experiments along with comparisons demonstrate the excellent behavior of the proposed method.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 Raheleh Jafari and Wen Yu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Arts, Humanities and Cultures (Leeds) > School of Design (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 28 Jan 2020 15:10 |
Last Modified: | 28 Jan 2020 15:10 |
Status: | Published |
Publisher: | Hindawi |
Identification Number: | 10.1155/2017/8594738 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:156083 |