On typical values and fuzzy integrals

  • Authors:

  • M. Friedman;Ma Ming;A. Kandel

  • Affiliations:

  • Dept. of Comput. Sci. & Eng., Univ. of South Florida, Tampa, FL;-;-

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
  • Year:
  • 1997

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Abstract

A new approach for obtaining a typical value of a fuzzy set as a fuzzy integral is developed by replacing the classic Lebesgue measure with the “typicality” measure. A new method for representing and calculating the one-dimensional fuzzy integral with respect to arbitrary measure derived by monotonic increasing function is proposed and its applicability is illustrated with examples