An axiomatization of entropy of capacities on set systems

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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Year of publication:	2008-10
Authors:	Honda, Aoi ; Grabisch, Michel
Institutions:	HAL
Subject:	Entropy \| Capacity \| Regular set system \| Generalized Faddeev's axiom

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Extent:	application/pdf
Series:	Post-Print.
Type of publication:	Book / Working Paper
Notes:	View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00281598 Published, European Journal of Operational Research, 2008, 190, 2, 526-538
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010750597