Fuzzy Sets pp 25-33 | Cite as

Characterization of Fuzzy Measures by Classical Measures

  • Erich Peter Klement


In this paper we first recall L. A. Zadeh’s8 probability of a fuzzy event and the axiomatic definition of fuzzy probability measures given in ref. 5. It is shown that these fuzzy probability measures can be characterized uniquely either by a probability measure and a Markoff-kernel or by a probability measure on the product space measuring the area below the membership function of the fuzzy event.


Probability Measure Membership Function Fuzzy Measure Classical Measure Fuzzy Probability 
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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Erich Peter Klement
    • 1
  1. 1.Department of Electrical Engineering and Computer Sciences, Computer Science DivisionUniversity of CaliforniaBerkeleyUSA

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