Fuzzy partitioning methods

  • Authors:
  • Christophe Marsala

  • Affiliations:
  • Université Pierre et Marie Curie, LIP6 - mailbox 169, 4, place Jussieu, 75252 Paris cedex 05, France

  • Venue:
  • Granular computing
  • Year:
  • 2001

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Abstract

In this chapter, we propose two new algorithms to infer automatically a fuzzy partition for the universe of a set of values, when each of these values is associated with a class. These algorithms are based on the use of mathematical morphology operators that are used to filter the given set of values and highlight kernel for fuzzy subsets. Their purpose is to be used in an inductive learning algorithm to construct fuzzy partitions on numerical universes of values.