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An Extension-Based Argument-Ranking Semantics: Social Rankings in Abstract Argumentation

by Lars Bengel, Giovanni Buraglio, Jan Maly, and Kenneth Skiba

In this paper, we introduce a new family of argument-ranking semantics which can be seen as a refinement of the classification of arguments into skeptically accepted, credulously accepted and rejected. To this end we use so-called social ranking functions which have been developed recently to rank individuals based on their performance in groups. We provide necessary and sufficient conditions for a social ranking function to give rise to an argument-ranking semantics satisfying the desired refinement property.

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