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An axiomatization of entropy of capacities on set systems

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Author Info
Honda, Aoi
Grabisch, Michel

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Abstract

We present an axiomatization of the entropy of capacities defined on set systems which are not necessarily the whole power set, but satisfy a condition of regularity. This entropy encompasses the definition of Marichal and Roubens for the entropy of capacities. Its axiomatization is in the spirit of the one of Faddeev for the classical Shannon entropy. In addition, we present also an axiomatization of the entropy for capacities proposed by Dukhovny.

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Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 190 (2008)
Issue (Month): 2 (October)
Pages: 526-538
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Handle: RePEc:eee:ejores:v:190:y:2008:i:2:p:526-538

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  1. Fabien Lange & Michel Grabisch, 2006. "Values on regular games under Kirchhoff's laws," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00130449_v1, HAL. [Downloadable!]
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This page was last updated on 2009-12-30.


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