Social Argumentation Ranking

The social argumentation ranking associates to any AF $F$ a ranking $\succeq^{\theta^{\mathsf{SAF}}}_F$ on $A$ such that $\forall a,b \in A$: $a \succeq^{\theta^{\mathsf{SAF}}}_F b$ iff $M(a) \geq M(b)$, where $M$ is the social model of $F$ under the simple product semantics.

Remarks

Social models were introduced for vote-annotated frameworks (Leite & Martins, 2011); the ranking applies them to plain AFs, where every argument gets the same base score (Bonzon et al., 2016).