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A genetic approach to fuzzy clustering with a validity measure fitness function

Part of the Lecture Notes in Computer Science book series (LNCS,volume 1280)

Abstract

This paper presents an extension to the genetic fuzzy clustering algorithm proposed by the authors. The original algorithm, which combines the powerful search technique of genetic algorithms with the fuzzy c-means (FCM) algorithm, is extended such that the FCM algorithm was totally embedded in the genetic operators design. Two objective functions are applied as fitness functions: the performance index of a P fuzzy c-partition J m (P), used on the FCM algorithm, and the partition coefficient F C (P), a function commonly used as a measure of cluster validity.

The fuzzy c-means and the new proposal for the genetic fuzzy clustering algorithm were compared on generating multiple prototypes. The experimental results show that the use of genetic search improves the quality of the clustering solutions and that the partition coefficient F c (P) is a better measure for clustering than the performance index J m (P).

Keywords

  • Genetic Algorithm
  • Cluster Center
  • Fuzzy Cluster
  • Genetic Operator
  • Cluster Validity

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1997 Springer-Verlag

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Nascimento, S., Moura-Pires, F. (1997). A genetic approach to fuzzy clustering with a validity measure fitness function. In: Liu, X., Cohen, P., Berthold, M. (eds) Advances in Intelligent Data Analysis Reasoning about Data. IDA 1997. Lecture Notes in Computer Science, vol 1280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0052851

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  • DOI: https://doi.org/10.1007/BFb0052851

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63346-4

  • Online ISBN: 978-3-540-69520-2

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