A MODIFICATION ON RIDGE ESTIMATION FOR FUZZY NONPARAMETRIC REGRESSION

Document Type : Research Paper

Authors

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

Abstract

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.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 9, Issue 2 - Serial Number 2
May and June 2012
Pages 75-88

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