Short communication: Nonlinearity of the fuzzy integral

  • Authors:
  • Erich Peter Klement;Dan Ralescu

  • Affiliations:
  • -;-

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 1983

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Abstract

We prove that the fuzzy integral has some linearity properties only for small classes of fuzzy measures. We also show that an extension of this concept to bounded functions (as proposed by Kandel [2-5]) is not well-defined, in general.