Fuzzy c-Means Clustering Algorithm with Pseudo Mahalanobis Distances

  • ICHIHASHI, Hidetomo (Department of Industrial Engineering, College of Engineering, Osaka Prefecture University) ;
  • OHUE, Masayuki (Department of Industrial Engineering, College of Engineering, Osaka Prefecture University) ;
  • MIYOSHI, Tetsuya (Department of Industrial Engineering, College of Engineering, Osaka Prefecture University)
  • Published : 1998.06.01

Abstract

Gustafson and Kessel proposed a modified fuzzy c-Means algorithm based of the Mahalanobis distance. Though the algorithm appears more natural through the use of a fuzzy covariance matrix, it needs to calculate determinants and inverses of the c-fuzzy scatter matrices. This paper proposes a fuzzy clustering algorithm using pseudo mahalanobis distance, which is more easy to use and flexible than the Gustafson and Kessel's fuzzy c-Means.

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