Derivative of functions over lattices as a basis for the notion of interaction between attributes

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dc.creatorGrabisch, Michel
dc.creatorLabreuche, Christophe
dc.date2007-11-14
dc.date.accessioned2026-07-07T08:42:52Z
dc.date.available2026-07-07T08:42:52Z
dc.descriptionThe paper proposes a general notion of interaction between attributes, which can be applied to many fields in decision making and data analysis. It generalizes the notion of interaction defined for criteria modelled by capacities, by considering functions defined on lattices. For a given problem, the lattice contains for each attribute the partially ordered set of remarkable points or levels. The interaction is based on the notion of derivative of a function defined on a lattice, and appears as a generalization of the Shapley value or other probabilistic values.
dc.identifierhttps://arxiv.org/abs/0711.2115
dc.identifierhttp://arxiv.org/abs/0711.2115
dc.identifierAnnals of Mathematics and Artificial Intelligence 49 (2007) 151-170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142116
dc.subjectDiscrete Mathematics
dc.subjectComputer Science and Game Theory
dc.titleDerivative of functions over lattices as a basis for the notion of interaction between attributes
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