Multiple correlation analysis of fuzzy sets

  • Authors:

  • Nancy P. Lin

  • Affiliations:

  • Department of Computer Science and Information Engineering, Tamkang University, Tamsui, Taipei, Taiwan, R.O.C.

  • Venue:
  • ICCS'03 Proceedings of the 2003 international conference on Computational science
  • Year:
  • 2003

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Abstract

There are so many fuzzy informations in databases waiting to be explored; methods to analyze these fuzzy data are needed. After a series of topics of correlation among fuzzy sets has been studied, namely, simple [3] and partial correlation analysis [4] of fuzzy sets, we want to study more about multiple relationships among fuzzy sets. In this paper, we will generalize the discussion of linear relationship between fuzzy attribute-pairs to linear relationship among one dependent fuzzy attribute and several independent fuzzy attributes, measured by multiple correlation coefficient of fuzzy set. We will also discuss the fact that the regression coefficients of a multiple linear regression model of one dependent fuzzy attribute on several independent fuzzy attributes can be used to obtain the multiple correlation coefficients among the particular dependent and those independent fuzzy attributes in the regression model.