Topological properties of fuzzy numbers

  • Goetschel R
  • Voxman W
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Abstract

Fuzzy numbers are defined and a metric is assigned to this class of fuzzy sets. Topological properties of the resulting metric space are studied. The notion of θ-crisp fuzzy numbers is introduced, and, in particular, it is shown that this class of fuzzy numbers is homeomorphic to the Hilbert cube. © 1983 North-Holland.

Author-supplied keywords

  • Fixed point property
  • Fuzzy number
  • Fuzzy set
  • Hilbert cube
  • θ-crisp fuzzy set

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Authors

  • Roy Goetschel

  • William Voxman

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