Fully fuzzy polynomial regression with fuzzy neural networks

• We model fully fuzzy polynomial regression models with fuzzy neural network.
• We find the approximate parameters of fuzzy regression.
• A simple algorithm from the cost function of the fuzzy neural network is proposed.

In this paper a polynomial fuzzy regression model with fuzzy independent variables and fuzzy parameters is discussed. Within this paper the fuzzy neural network model is used to obtain an estimate for the fuzzy parameters in a statistical sense. Based on the extension principle, a simple algorithm from the cost function of the fuzzy neural network is proposed, in order to find the approximate parameters. Finally, we illustrate our approach by some numerical examples.