Tuples Ranking

The tuples ranking associates to any AF $F$ a ranking $\succeq^{\theta^{\mathsf{Tu}}}_F$ on $A$ that compares arguments by the lengths of the defence (even) and attack (odd) branches ending in them; two arguments can be incomparable.

Remarks

AgonProject computes this ranking for acyclic AFs only.

Reference

Cayrol, C. & Lagasquie-Schiex, M.-C. (2005). Graduality in Argumentation. Journal of Artificial Intelligence Research, 23, pp. 245–297.