University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-06549120120211FUZZY LINEAR REGRESSION BASED ON
LEAST ABSOLUTES DEVIATIONSFUZZY LINEAR REGRESSION BASED ON
LEAST ABSOLUTES DEVIATIONS12114023010.22111/ijfs.2012.230ENS. M.TaheriDepartment of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran and Department of Statistics, School of Mathematical
Sciences, Ferdowsi University of Mashhad, Mashhad, IranM.KelkinnamaDepartment of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, IranJournal Article20090312This study is an investigation of fuzzy linear regression model for <br />crisp/fuzzy input and fuzzy output data. A least absolutes deviations approach <br />to construct such a model is developed by introducing and applying a new <br />metric on the space of fuzzy numbers. The proposed approach, which can deal <br />with both symmetric and non-symmetric fuzzy observations, is compared with <br />several existing models by three goodness of t criteria. Three well-known <br />data sets including two small data sets as well as a large data set are employed <br />for such comparisons.https://ijfs.usb.ac.ir/article_230_d59e96e289e06159aecc01cdcd61a9dd.pdf