Title :
An interval-based approach to fuzzy regression for fuzzy input-output data
Author :
Chachi, Jalal ; Taheri, Sayed Mostafa ; Pazhand, H. Rezaei ; Geotechnical, Maharab
Author_Institution :
Dept. of Math. Sci., Isfahan Univ. of Technol., Isfahan, Iran
Abstract :
A novel approach is introduced to construct a fuzzy regression model when the data available of independent and dependent variables are fuzzy numbers. The approach, consisting on the least-squares method, uses the α-level sets of fuzzy observations to estimate the crisp parameters of the model. A competitive study shows the performance and efficiency of the proposed approach with respect to some well-known methods.
Keywords :
fuzzy set theory; least squares approximations; regression analysis; α-level sets; fuzzy input-output data; fuzzy numbers; fuzzy observations; fuzzy regression model; interval based approach; least squares method; Data models; Estimation; Level set; Linear regression; Load modeling; Mathematical model; Numerical models; capability index; fuzzy regression; hydrology; interval arithmetic; least squares method;
Conference_Titel :
Fuzzy Systems (FUZZ), 2011 IEEE International Conference on
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-7315-1
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2011.6007457