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From Entropy of Fuzzy Sets to Fuzzy Set of Entropies: A Critical Review and New Results

Guy Jumarie (Université du Québec à Montréal, Canada)

Kybernetes

ISSN: 0368-492X

Article publication date: 1 May 1992

Abstract

In the present literature on fuzzy sets and fuzzy information, there is much confusion between entropies of fuzzy sets and fuzzy sets of entropies. After a thorough critical review of this question, proposes a unified approach based on the theory of deterministic functions. One must carefully distinguish between index of fuzziness, uncertainty of fuzziness and uncertainty of randomness on the one hand; and uncertainty of fuzzy sets and uncertainty of possibility on the other hand. This new framework could provide new approaches to management of uncertainty originating from both probability and possibility distributions.

Keywords

Citation

Jumarie, G. (1992), "From Entropy of Fuzzy Sets to Fuzzy Set of Entropies: A Critical Review and New Results", Kybernetes, Vol. 21 No. 5, pp. 33-51. https://doi.org/10.1108/eb005940

Publisher

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MCB UP Ltd

Copyright © 1992, MCB UP Limited