Characterization of Fuzzy Measures by Classical Measures
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.
KeywordsProbability Measure Membership Function Fuzzy Measure Classical Measure Fuzzy Probability
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