# Numerical solution of fuzzy linear Fredholm integro-differential equation by \\fuzzy neural network

Document Type : Research Paper

Author

Department of Mathematics, Firoozkooh Branch, Islamic Azad Uni- versity, Firoozkooh, Iran

Abstract

In this paper, a novel hybrid method based on learning algorithm
of fuzzy neural network and Newton-Cotes
methods with positive coefficient for the solution of linear Fredholm
integro-differential equation of the second kind
with fuzzy initial value is presented. Here neural network is
considered as a part of large field called neural computing or
soft computing. We propose a
learning algorithm from the cost function for adjusting fuzzy
weights. This paper is one of the first attempts to derive learning
algorithms from fuzzy neural networks with real input, fuzzy output,
and fuzzy weights. Finally, we illustrate our approach by numerical examples.

Keywords

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