Reference : Entropy of discrete fuzzy measures
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Physical, chemical, mathematical & earth Sciences : Mathematics
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Entropy of discrete fuzzy measures
Marichal, Jean-Luc mailto [University of Liège, Belgium > Institute of Mathematics]
Roubens, Marc [University of Liège, Belgium > Institute of Mathematics]
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
World Scientific Publishing Company
Yes (verified by ORBilu)
[en] entropy ; fuzzy measure ; aggregation ; uncertain variable ; Choquet and Sugeno integrals ; ordinal fuzzy measure
[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.
Fonds National de la Recherche Scientifique - FNRS (Belgium)
Researchers ; Professionals ; Students

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