Graduality and acceptability

In this section, we now shift to the selection step and introduce graduality in the notion of acceptability²⁴.

The basic idea is to select an argument depending on the non-selection of its direct attackers. Following this idea, we propose two different methods:

• The first method consists in refining the classical partition issued from Dung's collective acceptability; this refinement may be achieved using the gradual valuations defined in Section 3.
• The second method takes place in an individual acceptability and consists in defining a new acceptability using only the gradual valuations defined in Section 3.