Extension-ranking Semantics for Abstract Argumentation Preprint

Fuente: arXiv
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Auteurs principaux: Skiba, Kenneth, Rienstra, Tjitze, Thimm, Matthias, Heyninck, Jesse, Kern-Isberner, Gabriele
Format: Preprint
Publié: 2025
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author Skiba, Kenneth
Rienstra, Tjitze
Thimm, Matthias
Heyninck, Jesse
Kern-Isberner, Gabriele
author_facet Skiba, Kenneth
Rienstra, Tjitze
Thimm, Matthias
Heyninck, Jesse
Kern-Isberner, Gabriele
contents In this paper, we present a general framework for ranking sets of arguments in abstract argumentation based on their plausibility of acceptance. We present a generalisation of Dung's extension semantics as extension-ranking semantics, which induce a preorder over the power set of all arguments, allowing us to state that one set is "closer" to being acceptable than another. To evaluate the extension-ranking semantics, we introduce a number of principles that a well-behaved extension-ranking semantics should satisfy. We consider several simple base relations, each of which models a single central aspect of argumentative reasoning. The combination of these base relations provides us with a family of extension-ranking semantics. We also adapt a number of approaches from the literature for ranking extensions to be usable in the context of extension-ranking semantics, and evaluate their behaviour.
format Preprint
id arxiv_https___arxiv_org_abs_2504_21683
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Extension-ranking Semantics for Abstract Argumentation Preprint
Skiba, Kenneth
Rienstra, Tjitze
Thimm, Matthias
Heyninck, Jesse
Kern-Isberner, Gabriele
Artificial Intelligence
In this paper, we present a general framework for ranking sets of arguments in abstract argumentation based on their plausibility of acceptance. We present a generalisation of Dung's extension semantics as extension-ranking semantics, which induce a preorder over the power set of all arguments, allowing us to state that one set is "closer" to being acceptable than another. To evaluate the extension-ranking semantics, we introduce a number of principles that a well-behaved extension-ranking semantics should satisfy. We consider several simple base relations, each of which models a single central aspect of argumentative reasoning. The combination of these base relations provides us with a family of extension-ranking semantics. We also adapt a number of approaches from the literature for ranking extensions to be usable in the context of extension-ranking semantics, and evaluate their behaviour.
title Extension-ranking Semantics for Abstract Argumentation Preprint
topic Artificial Intelligence
url https://arxiv.org/abs/2504.21683