An axiomatization of entropy of capacities on set systems

Aoi Honda () and Michel Grabisch
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Aoi Honda: Kyutech - Kyushu Institute of Technology

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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

Keywords: Entropy; Capacity; Regular set system; Generalized Faddeev's axiom (search for similar items in EconPapers)
Date: 2008-10
Note: View the original document on HAL open archive server: https://hal.science/hal-00281598
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Citations: View citations in EconPapers (12)

Published in European Journal of Operational Research, 2008, 190 (2), pp.526-538. ⟨10.1016/j.ejor.2007.06.033⟩

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Journal Article: 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:hal:journl:hal-00281598

DOI: 10.1016/j.ejor.2007.06.033

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