S. M. Taheri - Department of Mathematical Sciences, Isfahan University of Technology, Isfahan ۸۴۱۵۶-۸۳۱۱۱, Iran and Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
M. Kelkinnama - Department of Mathematical Sciences, Isfahan University of Technology, Isfahan ۸۴۱۵۶-۸۳۱۱۱, Iran

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.

Fuzzy regression, Least absolutes deviations, Metric on fuzzy numbers, Similarity measure, Goodness of fit