Fuzzy Argumentation Frameworks

Abstract

We propose fuzzy argumentation frameworks as a conservative extension of traditional argumentation frameworks[Dun95]. The fuzzy approach enriches the expressive power of the classical argumentation model by allowing to represent the relative strength of the attack relationships between arguments, as well as the degree to which arguments are accepted. Furthermore, we explore the relationship with fuzzy answer set programming, more in particular the correspondence between the stable extensions of a fuzzy argumentation framework and the fuzzy models of an associated program.