Fuzzy linear regression model with crisp coefficients: A goal programming approach
نویسندگان
1 Department of Mathematics, University of Birjand, Birjand, Iran
2 Faculty of Basic Sciences, Shiraz University of Technology, Shiraz, Iran
3 Department of Statistics, Shahid Bahonar University of Kerman, Kerman, Iran
doi
10.22111/ijfs.2010.168چکیده
The fuzzy linear regression model with fuzzy input-output data andcrisp coefficients is studied in this paper. A linear programmingmodel based on goal programming is proposed to calculate theregression coefficients. In contrast with most of the previous works, theproposed model takes into account the centers of fuzzy data as animportant feature as well as their spreads in the procedure ofconstructing the regression model. Furthermore, the model can dealwith both symmetric and non-symmetric triangular fuzzy data as wellas trapezoidal fuzzy data which have rarely been considered in theprevious works. To show the efficiency of the proposed model, somenumerical examples are solved and a simulation study is performed.The computational results are compared with some earlier methods.
