期刊
INFORMATION SCIENCES
卷 172, 期 1-2, 页码 131-153出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2004.05.011
关键词
entropy; Choquet capacity; Choquet integral; information theory
To extend the classical Shannon entropy to nonadditive measures, Marichal recently introduced the concept of generalized entropy for discrete Choquet capacities. We provide a first axiomatization of this new concept on the basis of three axioms: the symmetry property, a boundary condition for which the entropy reduces to the Shannon entropy, and a generalized version of the well-known recursivity property. We also show that this generalized entropy fulfills several properties considered as requisites for defining an entropy-like measure. Lastly, we provide an interpretation of it in the framework of aggregation by the discrete Choquet integral. (c) 2004 Elsevier Inc. All rights reserved.
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