The fuzzy median and the fuzzy MAD

  • Authors:
  • P. R. Kersten

  • Affiliations:
  • -

  • Venue:
  • ISUMA '95 Proceedings of the 3rd International Symposium on Uncertainty Modelling and Analysis
  • Year:
  • 1995

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Abstract

An extension of two key robust statistics to fuzzy sets is presented and applied to the fuzzy c-means clustering algorithm. Examples of a robust statistic are the median and the median absolute deviation from the median or MAD, a robust estimate of dispersion. These extensions are derived, and the fuzzy median is applied to the fuzzy c-means clustering algorithm. The modified clustering algorithm shows improved performance in clustering data sets generated by heavy-tailed distributions like the Cauchy distribution.