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Jafarian, A., Measoomy nia, S., Jafari, R. (2012). Solving Fuzzy Equations Using Neural Nets with a New Learning Algorithm. Journal of Advances in Computer Research, 3(4), 33-45.
Ahmad Jafarian; Safa Measoomy nia; Raheleh Jafari. "Solving Fuzzy Equations Using Neural Nets with a New Learning Algorithm". Journal of Advances in Computer Research, 3, 4, 2012, 33-45.
Jafarian, A., Measoomy nia, S., Jafari, R. (2012). 'Solving Fuzzy Equations Using Neural Nets with a New Learning Algorithm', Journal of Advances in Computer Research, 3(4), pp. 33-45.
Jafarian, A., Measoomy nia, S., Jafari, R. Solving Fuzzy Equations Using Neural Nets with a New Learning Algorithm. Journal of Advances in Computer Research, 2012; 3(4): 33-45.

Solving Fuzzy Equations Using Neural Nets with a New Learning Algorithm

Article 4, Volume 3, Issue 4, Autumn 2012, Page 33-45  XML PDF (546.2 K)
Authors
Ahmad Jafarian* 1; Safa Measoomy nia1; Raheleh Jafari2
1Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran
2Department of Mathematics, science and research Branch, Islamic Azad University, Arak, Iran
Abstract
Artificial neural networks have the advantages such as learning, adaptation, fault-tolerance, parallelism and generalization. This paper mainly intends to offer a novel method for finding a solution of a fuzzy equation that supposedly has a real solution. For this scope, we applied an architecture of fuzzy neural networks such that the corresponding connection weights are real numbers. The suggested neural net can adjust the weights using a learning algorithm that based on the gradient descent method. The proposed method is illustrated by several examples with computer simulations.
Keywords
Fuzzy equations; Fuzzy feed-forward neural network (FFNN); Cost function; Learning algorithm
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