A MODIFICATION ON RIDGE ESTIMATION FOR FUZZY NONPARAMETRIC REGRESSION

نویسندگان
Solaymani Fard, Omid ID 1
Farnoosh, Rahman ID 2
Ghasemian, Javad ID 3

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

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

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

doi
10.22111/ijfs.2012.208
چکیده

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.

کلیدواژه‌ها
Fuzzy regression, Ridge estimation, Fuzzy nonparametric regression, Local linear smoothing