Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.11889/8390
Title: | Optimal Type-3 Fuzzy System for Solving Singular Multi-Pantograph Equations | Authors: | Ma, Chao Mohammadzade, Ardashir Turabieh, Hamza Mafarja, Majdi Band, Shahab S. |
Keywords: | Machine learning;ِِArtificial intelligence;Fuzzy systems;Natural computation;Lyapunov functions;Human-computer interaction;Learning algorithm;Multi-pantograph differential equations | Issue Date: | 2020 | Publisher: | IEEE Access | Abstract: | In this study a new machine learning technique is presented to solve singular multi-pantograph differential equations (SMDEs). A new optimized type-3 fuzzy logic system (T3-FLS) by unscented Kalman filter (UKF) is proposed for solution estimation. The convergence and stability of presented algorithm are ensured by the suggested Lyapunov analysis. By two SMDEs the effectiveness and applicability of the suggested method is demonstrated. The statistical analysis show that the suggested method results in accurate and robust performance and the estimated solution is well converged to the exact solution. The proposed algorithm is simple and can be applied on various SMDEs with variable coefficients. | URI: | http://hdl.handle.net/20.500.11889/8390 | DOI: | 10.1109/ACCESS.2020.3044548 |
Appears in Collections: | Fulltext Publications |
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File | Description | Size | Format | |
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Optimal Type-3 Fuzzy System for Solving Singular Multi-Pantograph Equations.pdf | 5.48 MB | Adobe PDF | View/Open |
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