Utilizing a new feed-back fuzzy neural network for solving a system of fuzzy equations
Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJIM-5-4_003
تاریخ نمایه سازی: 27 دی 1402
Abstract:
This paper intends to offer a new iterative method based on articial neural networks for finding solution of a fuzzy equations system. Our proposed fuzzied neural network is a ve-layer feedback neural network that corresponding connection weights to output layer are fuzzy numbers. This architecture of articial neural networks, can get a real input vector and calculates its corresponding fuzzy output. In order to nd the approximate solution of the fuzzy system that supposedly has a real solution, rst a cost function is dened for the level sets of the fuzzy network and target output. Then a learning algorithm based on the gradient descent method is used to adjust the crisp input signals. The present method is illustrated by several examples with computer simulations.
Keywords:
System of fuzzy equations , Fuzzy feed-back neural network (FFNN) , Cost function , Learning algorithm
Authors
A. Jafarian
Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.
S. Measoomy Nia
Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.