Iterated Graded Defence Ranking

The iterated graded defence ranking associates to any AF $F$ a ranking $\succeq^{\theta^{\mathsf{IGD}}}_F$ on $A$ such that $\forall a,b \in A$ : $a \succeq^{\theta^{\mathsf{IGD}}}_F b$ iff for all $1 \le m,n \le |A|-1$ , whenever $b$ is skeptically accepted under $mn$ -complete semantics, so is $a$ .

Reference

Grossi, D. & Modgil, S. (2015). On the Graded Acceptability of Arguments. In: Proceedings of the 24th International Joint Conference on Artificial Intelligence (IJCAI 2015), pp. 868–874. AAAI Press.