A gradual semantics with imprecise probabilities for support argumentation frameworks
2023 (English)In: NMR 2023. International Workshop on Non-Monotonic Reasoning 2023: Proceedings of the 21st International Workshop on Non-Monotonic Reasoningco-located with the 20th International Conference on Principles of Knowledge Representation and Reasoning (KR 2023) and co-located with the 36th International Workshop on Description Logics (DL 2023) / [ed] Kai Sauerwald; Matthias Thimm, CEUR-WS , 2023, p. 84-93, article id 9Conference paper, Published paper (Refereed)
Abstract [en]
Support Argumentation Frameworks (SAFs) are a type of the Abstract Argumentation Framework, where the interactions between arguments have a positive nature. A quantitative way of evaluating the arguments in a SAF is by applying a gradual semantics, which assigns a numerical value to each argument with the aim of ranking or evaluate them. In the literature,studied gradual semantics determine precise probability values; however, in many applications there is the necessity of imprecise evaluations which consider a range of values for assessing an argument. Thus, the first contribution of this article is an imprecise gradual semantics (IGS) based on credal networks theory. The second contribution is a set of properties for evaluating IGSs, which extend some properties proposed for precise gradual semantics. Besides, we suggest a classification of semantics considering the set of properties and evaluate our proposed IGS according to the extended properties. Finally, the practical application of the results is discussed by using an example from Network Science, i.e, PageRank. We also discuss how gradual semantics benefit PageRank research by allowing to generate contrastive explanations about the scores in a more natural way.
Place, publisher, year, edition, pages
CEUR-WS , 2023. p. 84-93, article id 9
Series
CEUR Workshop proceedings, ISSN 1613-0073 ; 3464
Keywords [en]
Support argumentation framework, Formal argumentation, Gradual semantics, Impreciseness, PageRank
National Category
Computer Systems
Research subject
Computer Science
Identifiers
URN: urn:nbn:se:umu:diva-214388Scopus ID: 2-s2.0-85171621561OAI: oai:DiVA.org:umu-214388DiVA, id: diva2:1797012
Conference
NMR 2023, The 21st International Workshop on Non-Monotonic Reasoning, Rhodes, Greece, September 2-4, 2023
2023-09-132023-09-132023-10-23Bibliographically approved