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Fuzzy Set and Fuzzy Cluster

  • Clustering methods discussed so far
    • Every data object is assigned to exactly one cluster
  • Some applications may need for fuzzy or soft cluster assignment
    • Ex. An e-game could belong to both entertainment and software
  • Methods: fuzzy clusters and probabilistic model-based clusters
  • Fuzzy cluster: A fuzzy set S: FS : X → [0, 1] (value between 0 and 1)
  • Example: Popularity of cameras is defined as a fuzzy mapping

  • Then, A(0.05), B(1), C(0.86), D(0.27)


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