Weighted Attacks in Argumentation Frameworks

Recently, (Dunne et al. 2009; 2011) have suggested to weight attacks within Dung's abstract argumentation frameworks, and introduced the concept of WAF (Weighted Argumentation Framework). However, they use WAFS in a very specific way for relaxing attacks. The aim of this paper is to explore ways to take advantage of attacks weights within an argumentation process. Two different approaches are considered: The first one extends the proposal by (Dunne et al. 2011) and accounts for other aggregation functions than sum in the objective of relaxing attacks. The second one shows how weights can be exploited to strengthen the usual notion of defence, leading to new concepts of extensions.