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Ranking-Based Semantics for Sets of Attacking Arguments

Bruno Yun 1, 2 Srdjan Vesic 3 Madalina Croitoru 2
2 GRAPHIK - Graphs for Inferences on Knowledge
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : Argumentation is a process of evaluating and comparing sets of arguments. Ranking-based semantics received a lot of attention recently. All of the semantics introduced so far are applicable to binary attack relations. In this paper, we study a more general case when sets of arguments can jointly attack an argument. We generalise existing postulates for ranking-based semantics to fit this framework, define a general variant of h-categoriser, prove that it converges for every argumentation framework and study the postulates it satisfies. We also study the link between binary and hypergraph version of h-categoriser.
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Submitted on : Thursday, November 21, 2019 - 4:06:43 PM
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Bruno Yun, Srdjan Vesic, Madalina Croitoru. Ranking-Based Semantics for Sets of Attacking Arguments. AAAI 20 - 34th AAAI Conference on Artificial Intelligence, Feb 2020, New York, United States. pp.3033-3040, ⟨10.1609/aaai.v34i03.5697⟩. ⟨lirmm-02374712⟩

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