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This repository contains my solutions for a lecture about fuzzy clustering. No guarantee for correctness or anything, but maybe someone finds the code useful anyway.

Content:

  • Fuzzy C-Means (FCM)
  • A benchmark of various different methods to calculate covariance matrices
  • Various cluster validity indices
    • Partition Coefficient (PC)
    • Normalized Partition Coefficient (NPC)
    • Fuzzy Hypervolume (FHV)
    • Fukuyama-Sugeno Index (FS)
    • Xie-Beni Index (XB)
    • Beringer-Hullermeier Index (BH)
    • Bouguessa-Wang-Sun index (BWS)

Here is a plot of some data clustered with FCM:

data plot

And here is a plot of the various cluster validity indices for that data clustered with different number of clusters:

cluster validity indices plots

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Fuzzy clustering in python

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