A Multiagent Transfer Function Neuroapproach to Solve Fuzzy Riccati Differential Equations
Joint Authors
Kumaresan, N.
Shahrir, Mohammad Shazri
Ratnavelu, Kuru
Kamali, M. Z. M.
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-21
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
A numerical solution of fuzzy quadratic Riccati differential equation is estimated using a proposed new approach for neural networks (NN).
This proposed new approach provides different degrees of polynomial subspaces for each of the transfer function.
This multitude of transfer functions creates unique “agents” in the structure of the NN.
Hence it is named as multiagent neuroapproach (multiagent NN).
Previous works have shown that results using Runge-Kutta 4th order (RK4) are reliable.
The results can be achieved by solving the 1st order nonlinear differential equation (ODE) that is found commonly in Riccati differential equation.
Multiagent NN shows promising results with the advantage of continuous estimation and improved accuracy that can be produced over Mabood et al.
(2013), RK-4, and the existing neuromethod (NM).
Numerical examples are discussed to illustrate the proposed method.
American Psychological Association (APA)
Shahrir, Mohammad Shazri& Kumaresan, N.& Ratnavelu, Kuru& Kamali, M. Z. M.. 2014. A Multiagent Transfer Function Neuroapproach to Solve Fuzzy Riccati Differential Equations. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-484496
Modern Language Association (MLA)
Shahrir, Mohammad Shazri…[et al.]. A Multiagent Transfer Function Neuroapproach to Solve Fuzzy Riccati Differential Equations. Journal of Applied Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-484496
American Medical Association (AMA)
Shahrir, Mohammad Shazri& Kumaresan, N.& Ratnavelu, Kuru& Kamali, M. Z. M.. A Multiagent Transfer Function Neuroapproach to Solve Fuzzy Riccati Differential Equations. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-484496
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484496