Year: 2025
Type: article
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.
Source: AIMS Mathematics
DOI: 10.3934/math.2025731
Author: Jiachao Wu
Institution: Shandong Normal University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,200
Awards: G2997838057, G5456768139, G8872449406
OpenAlex ID: W4412518155