Numerical solution of fuzzy differential equations under generalized differentiability by fuzzy neural network

Subject Areas : International Journal of Industrial Mathematics

M.  Mosleh ¹ (Department of Mathematics, Firoozkooh Branch, Islamic Azad University, Firoozkooh, Iran.)

Received: 2013-11-04 Accepted : 2013-11-04 Published : 2013-12-01

Keywords: Fuzzy neural networks, Fuzzy di&#x0B, erential equations, Feedforward neural network, Learning&#x0D, &#x0D, algorithm,

Abstract :

In this paper, we interpret a fuzzy differential equation by using the strongly generalized differentiability concept. Utilizing the Generalized characterization Theorem. Then a novel hybrid method based on learning algorithm of fuzzy neural network for the solution of differential equation with fuzzy initial value is presented. Here neural network is considered as a part of large eld called neural computing or soft computing. The model nds the approximated solution of fuzzy differential equation inside of its domain for the close enough neighborhood of the fuzzy initial point. We propose a learning algorithm from the cost function for adjusting of fuzzy weights.