Entropy of capacities on lattices and set systems

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dc.creatorHonda, Aoi
dc.creatorGrabisch, Michel
dc.date2007-11-13
dc.date.accessioned2026-07-07T08:42:39Z
dc.date.available2026-07-07T08:42:39Z
dc.descriptionWe propose a definition for the entropy of capacities defined on lattices. Classical capacities are monotone set functions and can be seen as a generalization of probability measures. Capacities on lattices address the general case where the family of subsets is not necessarily the Boolean lattice of all subsets. Our definition encompasses the classical definition of Shannon for probability measures, as well as the entropy of Marichal defined for classical capacities. Some properties and examples are given.
dc.identifierhttps://arxiv.org/abs/0711.1993
dc.identifierhttp://arxiv.org/abs/0711.1993
dc.identifierInformation Sciences 176 (2006) 3472-3489
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142036
dc.subjectDiscrete Mathematics
dc.subjectStatistics Theory
dc.titleEntropy of capacities on lattices and set systems
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