%0 Journal Article
%T FUZZY LINEAR REGRESSION BASED ON
LEAST ABSOLUTES DEVIATIONS
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Taheri, S. M.
%A Kelkinnama, M.
%D 2012
%\ 02/11/2012
%V 9
%N 1
%P 121-140
%! FUZZY LINEAR REGRESSION BASED ON
LEAST ABSOLUTES DEVIATIONS
%K Fuzzy regression
%K Least absolutes deviations
%K Metric on fuzzy numbers
%K Similarity measure
%K Goodness of fit
%R 10.22111/ijfs.2012.230
%X This study is an investigation of fuzzy linear regression model for crisp/fuzzy input and fuzzy output data. A least absolutes deviations approach to construct such a model is developed by introducing and applying a new metric on the space of fuzzy numbers. The proposed approach, which can deal with both symmetric and non-symmetric fuzzy observations, is compared with several existing models by three goodness of t criteria. Three well-known data sets including two small data sets as well as a large data set are employed for such comparisons.
%U https://ijfs.usb.ac.ir/article_230_d59e96e289e06159aecc01cdcd61a9dd.pdf