Least Squares Method for L-R Fuzzy Variables

Authors:
Barbara Gładysz;Dorota Kuchta
Affiliations:
Institute of Organization and Management, Wrocław University of Technology, Wrocław, Poland 50-370;Institute of Organization and Management, Wrocław University of Technology, Wrocław, Poland 50-370
Venue:
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
Year:
2009

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Abstract

The least squares method is used to determine the fuzzy regression. The data for the regression equation are observations for the output and input variables. Analogous assumptions for those used in case of the classical regression are adopted - concerning the fuzzy random component of the model. It is shown how to determine the possibilistic distributions of the output variable and the model coefficients if the random component of the model is an L-R fuzzy variable and its generative probabilistic distribution is known.