New Method for Solving Fuzzy Polynomials
Ahmad Jafarian, Raheleh Jafari · Advances in Fuzzy Mathematics · 2013
This paper mainly intends to offer a new method for finding a fuzzy solution of a fully fuzzy polynomial (FFP) with degree one that supposedly has a fuzzy solution. For this scope, an approach based on fuzzy neural network (FNN) is presented. The proposed FNN is a three layer feed-back neural network, where it can get a fuzzy input signal and calculates its corresponding fuzzy output. In order to find the approximate solution of these polynomials, first a cost function for the level sets of fuzzy output and fuzzy target is defined. Then for adjusting the three parameters of triangular fuzzy weight a learning algorithm which is based on the gradient descent method is introduced. Finally, we illustrate our approach by some numerical examples.