Representing Synergy among Arguments with Choquet Integral

Souhila Kaci 1 Christophe Labreuche 2
1 GRAPHIK - Graphs for Inferences on Knowledge
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : Preference-based argumentation frameworks are instantiation of Dung's framework in which the defeat relation (in the sense of Dung) is computed from an attack relation and a preference relation over the set of arguments. Value-based argumentation framework is a preference-based argumentation framework where the preference relation over arguments is derived from a preference relation over values they promote. We extend value-based argumentation framework with collective defeats and arguments promoting values with various strengths. In the extended framework, we define a function which computes the strength of a collective defeat. We define desired properties for the proposed function. Surprisingly, we show that this function obeying the corresponding properties is Choquet integral, a well-known aggregation function at work in multiple criteria decision.
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Souhila Kaci, Christophe Labreuche. Representing Synergy among Arguments with Choquet Integral. ECSQARU: European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty, Jul 2013, Utrecht, Netherlands. pp.302-314, ⟨10.1007/978-3-642-39091-3_26⟩. ⟨lirmm-00857796⟩

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