| dc.contributor.author | Jiachao Wu | |
| dc.contributor.other | School of Mathematics and Statistics, Shandong Normal University, Jinan 250358, China | |
| dc.date.accessioned | 2025-08-27T02:32:32Z | |
| dc.date.accessioned | 2025-10-08T08:06:53Z | |
| dc.date.available | 2025-10-08T08:06:53Z | |
| dc.date.issued | 2025-07 | |
| dc.identifier.uri | https://www.aimspress.com/article/doi/10.3934/math.2025731 | |
| dc.identifier.uri | http://digilib.fisipol.ugm.ac.id/repo/handle/15717717/35603 | |
| dc.description.abstract | Adjusting the values of arguments is a widely applied method to establish the semantics of argumentation frameworks (AFs). In this process, the influence of a single attacker's value is mentioned or implicitly used many times. However, this effect has not been studied specifically. As a result, its role in semantic exploration cannot be brought into full play. Thus, my objective was to study this effect, so as to provide a new tool for semantics research. In this paper, the strength of this influence was called the relative attack strength (RAS). It was formally defined and computed by a three-variable function $ ras $. Then, nine basic properties of RAS were studied. As an application, I established a new semantics for fuzzy AFs based on RAS, which covered the Gödel semantics. The main contribution lies in the proposal of RAS and the discussion of its properties. This provides a new tool for the further study of argumentation semantics. The other contribution is the establishment of new semantics. On one hand, it fills a gap in theory. On the other hand, it shows the effectiveness of RAS in semantic research of AFs. | |
| dc.language.iso | EN | |
| dc.publisher | AIMS Press | |
| dc.subject.lcc | Mathematics | |
| dc.title | Relative attack strength and its application in argumentation frameworks | |
| dc.type | Article | |
| dc.description.keywords | argumentation framework | |
| dc.description.keywords | weighted argumentation framework | |
| dc.description.keywords | weighted arguments | |
| dc.description.keywords | fuzzy semantics | |
| dc.description.pages | 16355-16370 | |
| dc.description.doi | 10.3934/math.2025731 | |
| dc.title.journal | AIMS Mathematics | |
| dc.identifier.e-issn | 2473-6988 | |
| dc.identifier.oai | da848f5695074a93984f0bcb93abc568 | |
| dc.journal.info | Volume 10, Issue 7 | |
