Utilizing a new feed-back fuzzy neural network for solving a system of fuzzy equations

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.
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.

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Journal title

volume 5  issue 4

pages  299- 307

publication date 2013-12-01

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