On the aggregation of argumentation frameworks: operators and postulates
Jérôme Delobelle, Sébastien Konieczny, Srdjan Vesić · Journal of Logic and Computation · 2018
In this paper, we study the problem of aggregation of Dung’s abstract argumentation frameworks (AFs). An argumentation framework allows the representation of conflictual agent’s beliefs by using a set of arguments and interactions between them (i.e. attack or non-attack). One AF per agent can be used to represent the beliefs of a group of agents. The aggregation process aims to represent the beliefs of this group by solving the potential conflicts between them. Some aggregation operators were defined, and more recently, some rationality properties for this process were introduced. In this work, we study the existing operators as well as some new ones, which we define in light of the proposed properties. We highlight the fact that existing operators do not satisfy a lot of properties. The conclusions are that on one hand none of the existing operators seem fully satisfactory, but on the other hand some of the properties proposed so far seem too demanding.