Argumentation framework with fuzzy preference relations

Abstract

Dung's argumentation developed in Artificial Intelligence is based on a binary attack relation. An important particular case arises when there is a Boolean preference relation between the arguments. We propose to extend this argumentation framework to a fuzzy preference relation. This implies that an argument can attack another one to a certain degree. It turns out that the acceptability semantics in this new framework can be obtained in two ways: either from the concept of fuzzy kernel defined in fuzzy preference modeling, or from the acceptability semantics defined on weighted attack relations. Finally, we obtain some requirements on the fuzzy preference relation in the case when it shall be constructed from weights assigned to the arguments. © 2010 Springer-Verlag Berlin Heidelberg.