University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065413420160830Multiple Fuzzy Regression Model for Fuzzy Input-Output Data6378259610.22111/ijfs.2016.2596ENJalalChachiDepartment of Mathematics, Statistics and Computer Sciences, Sem-
nan University, Semnan, Semnan 35195-363, Iran0000-0003-1883-5113S. MahmoudTaheriFaculty of Engineering Science, College of Engineering, University of Tehran, Tehran, P.O. Box 11365-4563, IranJournal Article20130713A novel approach to the problem of regression modeling for fuzzy input-output data is introduced.<br />In order to estimate the parameters of the model, a distance on the space of interval-valued quantities is employed.<br />By minimizing the sum of squared errors, a class of regression models is derived based on the interval-valued data obtained from the $alpha$-level sets of fuzzy input-output data.<br />Then, by integrating the obtained parameters of the interval-valued regression models, the optimal values of parameters for the main fuzzy regression model are estimated.<br />Numerical examples and comparison studies are given to clarify the proposed procedure, and to show the performance of the proposed procedure with respect to some common methods.http://ijfs.usb.ac.ir/article_2596_c5d1e02ec07e74c58799b657496f0c39.pdf