ON THE ENTROPY OF FUZZY EVENTS
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Entropy measures of fuzzy events of a set X with a (not necessary finite) positive measure µ defined on a σ‐algebra of subsets of X are studied. Using fuzzy measures and fuzzy integrals, a theorem is presented, which gives a sufficient condition for the existence of entropy measures under a list of reasonable axioms. The result is used to define entropy measures for fuzzy numbers.
fuzzy integrals, fuzzy measures, fuzzy numbers, Real- or complex-valued set functions, Entropy and other invariants, Theory of fuzzy sets, etc., Classical measure theory, existence of entropy measures
fuzzy integrals, fuzzy measures, fuzzy numbers, Real- or complex-valued set functions, Entropy and other invariants, Theory of fuzzy sets, etc., Classical measure theory, existence of entropy measures
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