An axiomatization of entropy of capacities on set systems

Aoi Honda and Michel Grabisch

European Journal of Operational Research, 2008, vol. 190, issue 2, 526-538

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.

Date: 2008
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Working Paper: An axiomatization of entropy of capacities on set systems (2008)
Working Paper: An axiomatization of entropy of capacities on set systems (2008)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:190:y:2008:i:2:p:526-538

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