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arXiv · 2212.07523

Many-valued Argumentation, Conditionals and a Probabilistic Semantics for Gradual Argumentation

Mario Alviano·Laura Giordano·Daniele Theseider Dupré
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Abstract

In this paper we propose a general approach to define a many-valued preferential interpretation of gradual argumentation semantics. The approach allows for conditional reasoning over arguments and boolean combination of arguments, with respect to a class of gradual semantics, through the verification of graded (strict or defeasible) implications over a preferential interpretation. As a proof of concept, in the finitely-valued case, an Answer set Programming approach is proposed for conditional reasoning in a many-valued argumentation semantics of weighted argumentation graphs. The paper also develops and discusses a probabilistic semantics for gradual argumentation, which builds on the many-valued conditional semantics.

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Mario Alviano, Laura Giordano, Daniele Theseider Dupré. 2022-12-14. Many-valued Argumentation, Conditionals and a Probabilistic Semantics for Gradual Argumentation. https://arxiv.org/abs/2212.07523

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