On a Notion of Monotonic Support for Bipolar Argumentation Frameworks - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2021

On a Notion of Monotonic Support for Bipolar Argumentation Frameworks

Résumé

The bipolar argumentation framework (BAF) setting is an extension of Dung's setting for abstract argumentation, that considers an additional relation, called support relation. Several interpretations of such a support relation have been pointed out so far, including deductive, necessity, general and backing supports. These notions of support capture different kinds of interactions between arguments, that do not primarily correspond to attacks. In this paper, we propose a new notion of support, called monotonic support. Our approach is axiomatic: two postulates are introduced for capturing the intuition that underlies this notion of support in formal terms. The first postulate, monotony, prevents the support relation from downgrading the acceptance status of the supported argument. The second postulate, non-triviality, requires the existence of BAFs for which supporting an argument leads to increase its acceptance status. We present a general family of extension-based semantics for BAFs, called support score-based (SSB) semantics, that satisfy the two postulates and are parameterized by some aggregation functions. We prove a characterisation result linking the postulates that a SBB semantics satisfies with the properties of the aggregation functions used to define it. We also show that none of the previously introduced semantics for BAFs satisfies the monotony postulate.
Fichier principal
Vignette du fichier
HAL_On_a_Notion_of_Monotonic_Support_for_Bipolar_Argumentation_Frameworks.pdf (1.42 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03225627 , version 1 (21-05-2021)

Identifiants

  • HAL Id : hal-03225627 , version 1

Citer

Anis Gargouri, Sébastien Konieczny, Pierre Marquis, Srdjan Vesic. On a Notion of Monotonic Support for Bipolar Argumentation Frameworks. 20th International Conference on Autonomous Agents and MultiAgent Systems (AAMAS), May 2021, Virtual Event, United Kingdom. ⟨hal-03225627⟩
76 Consultations
50 Téléchargements

Partager

Gmail Facebook X LinkedIn More