FUZZY LINEAR REGRESSION BASED ON LEAST ABSOLUTES DEVIATIONS

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...

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Bibliographic Details
Published in:Iranian journal of fuzzy systems (Online) 2012, Vol.9 (1), p.121
Main Authors: Taheri, S M, Kelkinnama, M
Format: Article
Language:English
Subjects:
Regression analysis
Online Access:Get full text
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Summary: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.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2012.230