A new fusion algorithm for fuzzy clustering

Authors

  • Ivan Vidović J. J. Strossmajer University of Osijek Faculty of Electrical Engineering Osijek
  • Dražen Bajer J. J. Strossmajer University of Osijek Faculty of Electrical Engineering Osijek
  • Rudolf Scitovski J. J. Strossmajer University of Osijek Department of Mathematics

Abstract

In this paper we have considered the merging problem of two ellipsoidal clusters in order to construct a new fusion algorithm for fuzzy clustering.We have proposed a criterion for merging two ellipsoidal clusters $\pi_1,\pi_2$ with associated main Mahalanobis circles $E_j(c_j,\sigma_j)$, where $c_j$ is the centroid and $\sigma^2_j$ is the Mahalanobis variance of cluster $\pi_j$. Based on the well-known Davies-Bouldin index we have constructed a new fusion algorithm. The criterion has been tested on several data sets, and the performance of the fusion algorithm has been demonstrated on an illustrative example.

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Published

2015-01-16

Issue

Volume 5 (2014), Number 2

Section

CRORR Journal Regular Issue

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