Article (Scientific journals)
Entropy of discrete fuzzy measures
Marichal, Jean-Luc; Roubens, Marc
2000In International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 8 (6), p. 625-640
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Keywords :
entropy; fuzzy measure; aggregation; uncertain variable; Choquet and Sugeno integrals; ordinal fuzzy measure
Abstract :
[en] The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal in the aggregation framework, and a second one by Yager in the framework of uncertain variables. We present a comparative study between these two proposals and point out their properties. We also propose a definition for the entropy of an ordinal fuzzy measure, that is, a fuzzy measure taking its values in an ordinal scale in the sense of measurement theory.
Disciplines :
Mathematics
Quantitative methods in economics & management
Identifiers :
UNILU:UL-ARTICLE-2010-379
Author, co-author :
Marichal, Jean-Luc ;  University of Liège, Belgium > Institute of Mathematics
Roubens, Marc;  University of Liège, Belgium > Institute of Mathematics
Language :
English
Title :
Entropy of discrete fuzzy measures
Publication date :
December 2000
Journal title :
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
ISSN :
0218-4885
Publisher :
World Scientific Publishing Company
Volume :
8
Issue :
6
Pages :
625-640
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
Fonds National de la Recherche Scientifique - FNRS (Belgium)
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since 18 May 2013

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