Document Type : Research Paper


1 School of Mathematics, Iran University of Science and Tech- nology, Narmak, Tehran-16846, Iran

2 School of Mathematics, Iran University of Science and Technol- ogy, Narmak, Tehran-16846, Iran

3 School of Mathematics and Computer Science, Damghan Uni- versity, Damghan, Iran


This paper deals with ridge estimation of fuzzy nonparametric
regression models using triangular fuzzy numbers. This estimation method
is obtained by implementing ridge regression learning algorithm in the La-
grangian dual space. The distance measure for fuzzy numbers that suggested
by Diamond is used and the local linear smoothing technique with the cross-
validation procedure for selecting the optimal value of the smoothing param-
eter is fuzzi ed to t the presented model. Some simulation experiments are
then presented which indicate the performance of the proposed method.


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