ON THE ENTROPY OF FUZZY EVENTS
RUDOLF KRUSE
(Institut für Angewandte Mathematik der Technischen Universität Braunschweig, Braunschweig (Federal Republic of Germany))
48
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.
Citation
KRUSE, R. (1983), "ON THE ENTROPY OF FUZZY EVENTS", Kybernetes, Vol. 12 No. 1, pp. 53-57. https://doi.org/10.1108/eb005641
Publisher
:MCB UP Ltd
Copyright © 1983, MCB UP Limited