Title :
The fuzzy median and the fuzzy MAD
Author :
Kersten, Paul R.
Author_Institution :
Weapons Div., Naval Air Dev. Center, China Lake, CA, USA
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;
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
DOI :
10.1109/ISUMA.1995.527673
