Compatibility between acceptability and gradual valuation

Following the previous sections, the set of arguments can be partitioned in two different ways:

• First, given a semantics $S$ and a gradual valuation $v$, it is possible to use the partition issued from [9] which we have refined:
  

• Second, given a gradual valuation $v$, it is possible to use the partition induced by the notion of well-defended arguments:
  

A very natural and interesting question is: is it possible to find a semantics $S$ and a gradual valuation $v$ such that the associated partitions have some compatibilities?

The following examples show that the class of the well-defended arguments does not correspond to the class of the cleanly-accepted arguments (in some cases, some uni-accepted arguments are even not well-defended).