Graded Neutrality Function

For E⊆AE \subseteq A and an integer m≥1m \geq 1, the graded neutrality function is nm(E)={a∈A∣∣a−∩E∣<m}n_m(E) = \{a \in A \mid |a^- \cap E| < m\}. A set EE is mm-conflict-free iff E⊆nm(E)E \subseteq n_m(E).

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.

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