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
- 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
- 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.