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Fuzzy Modeling for Uncertainty Nonlinear Systems with Fuzzy Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-01-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Jafari, Raheleh& Yu, Wen. 2017. Fuzzy Modeling for Uncertainty Nonlinear Systems with Fuzzy Equations. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1192433
Modern Language Association (MLA)
Jafari, Raheleh& Yu, Wen. Fuzzy Modeling for Uncertainty Nonlinear Systems with Fuzzy Equations. Mathematical Problems in Engineering No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1192433
American Medical Association (AMA)
Jafari, Raheleh& Yu, Wen. Fuzzy Modeling for Uncertainty Nonlinear Systems with Fuzzy Equations. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1192433
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192433