Extended fuzzy regression models using regularization method

Authors:
Dug Hun Hong;Changha Hwang
Affiliations:
Department of Mathematics, Myongji University, Yongin Kyunggido 449-728, South Korea;Department of Statistical Information, Catholic University of Daegu, Kyungbuk 712-702, South Korea
Venue:
Information Sciences—Informatics and Computer Science: An International Journal
Year:
2004

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Abstract

Regularization approach to regression can be easily found in Statistics and Information Science literatures. The technique of regularization was introduced as a way of controlling the smoothness properties of regression function. The main purpose of this paper is to extend the models of Diamond [Inform. Sci. 46 (1988) 141] to fuzzy multiple linear regression models and to extend the model F3 with numerical input of Diamond [Inform. Sci. 46 (1988) 141] to fuzzy nonlinear model. Here, all extensions are based on regularization technique.