In order to realize an nonlinear operations between fuzzy numbers and raise the accuracy of the approximation of fuzzy neural networks

the polygonal fuzzy numbers and a polygonal fuzzy neural network are introduced

and according to their extension operations to improve the classic conjugate gradient algorithm

in the iterative process

the optimal constants of the algorithm are obtained through the one-dimensional inexactitude A-G linear search method

and then a polygonal fuzzy conjugate gradient algorithm is designed under environment of polygonal fuzzy neural networks.Finally

utilizing a simulation examples

some good characteristics of this algorithm are illustrated

for example

low computational complexity

fast convergence and so on.