Fuzzy C-Regression Models

Article Preview

Abstract:

Fuzzy linear regression has been extensively studied since its inception symbolized by the work of Tanaka et al. in 1982. As one of the main estimation methods, fuzzy least squares approach is appealing because it corresponds, to some extent, to the well known statistical regression analysis. In this article, a restricted least squares method is proposed to fit fuzzy linear models with crisp inputs and symmetric fuzzy output. The paper puts forward a kind of fuzzy linear regression model based on structured element, This model has precise input data and fuzzy output data, Gives the regression coefficient and the fuzzy degree function determination method by using the least square method, studies the imitation degree question between the observed value and the forecast value.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1323-1326

Citation:

Online since:

January 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] C.C. Kung, J.Y. Su and Y.F. Nieh, A Novel Cluster Validity Criterion for Fuzzy C-Regression Models, IEEE International Conference on Fuzzy Systems, pp.1885-1890, (2009).

DOI: 10.1109/fuzzy.2009.5277386

Google Scholar

[2] C.C. Kung and J.Y. Su, Affine Takagi-Sugeno fuzzy modeling algorithm by fuzzy c-regression models clustering with a novel cluster validity criterion, IET Control Theory Appl., vol. 1, pp.1255-1265, (2007).

DOI: 10.1049/iet-cta:20060415

Google Scholar

[3] R.J. Hathaway and J. C. Bezdek, Switching Regression Models and Fuzzy Clustering, IEEE Trans. on Fuzzy Systems, vol. 1, no. 3, August, (1993).

DOI: 10.1109/91.236552

Google Scholar

[4] L. Ljung and T. Soderstrom, Theory and Practice of Recursive Identification, MIT Press, (1983).

Google Scholar

[5] R. Babuska, Fuzzy Modeling for Control, Boston: Kluwer Academic Publishers, (1998).

Google Scholar

[6] S. Kim, The novel state of charge estimation method for lithium battery using sliding mode observer, J. Power Sources, vol. 163, pp.584-590, September, (2006).

DOI: 10.1016/j.jpowsour.2006.09.006

Google Scholar