The fuzzy median and the fuzzy MAD

Author

Kersten, Paul R.

Author_Institution

Weapons Div., Naval Air Dev. Center, China Lake, CA, USA

fYear

1995

Firstpage

85

Lastpage

88

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

Keywords

fuzzy set theory; pattern recognition; statistical analysis; Cauchy distribution; fuzzy MAD; fuzzy c-means clustering algorithm; fuzzy median; fuzzy sets; heavy-tailed distributions; median absolute deviation; robust dispersion estimate; robust statistics; Algorithm design and analysis; Clustering algorithms; Electric breakdown; Fuzzy sets; Lakes; Robustness; Statistical distributions; Statistics; Target recognition; Weapons;

fLanguage

English

Publisher

ieee

Conference_Titel

Uncertainty Modeling and Analysis, 1995, and Annual Conference of the North American Fuzzy Information Processing Society. Proceedings of ISUMA - NAFIPS '95., Third International Symposium on

Conference_Location

College Park, MD

Print_ISBN

0-8186-7126-2

Type

conf

DOI

10.1109/ISUMA.1995.527673

Filename

527673