• NUMERICAL SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS BY USING MODIFIED FUZZY NEURAL NETWORK

Abstract

In this paper, we introduce a hybrid approach based on modified fuzzy neural network and optimization teqnique to solve fuzzy differential equations. Using modified fuzzy neural network makes that training points should be selected over an open interval without training the network in the range of first and end points. Therefore, the calculating volume involving computational error is reduced. In fact, the training points depending on the distance selected for training neural network are converted to similar points in the open interval by using a new approach, then the network is trained in these similar areas. In comparison with existing similar neural networks proposed model provides solutions with high accuracy. The proposed method is illustrated by four numerical examples.