Abstract
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.
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Schedule a callMore From: Kybernetes: The International Journal of Systems & Cybernetics
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