Fuzzy Modeling for Uncertainty Nonlinear Systems with Fuzzy Equations. (22nd January 2017)

• Record Type: Journal Article
• Authors: Jafari, Raheleh; Yu, Wen
• Other Names: Rodriguez-Lopez Rosana Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2017(2017)
• Publication Date: 2017-01-22
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2017/8594738
• Languages: English
• ISSNs: 1024-123X

Abstract

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.