On instantiating generalised properties of gradual argumentation frameworks

Several gradual semantics for abstract and bipolar argumentation
have been proposed in the literature, ascribing to each argument
a value taken from a scale, i.e. an ordered set. These values somewhat
match the arguments’ dialectical status and provide an indication of
their dialectical strength, in the context of the given argumentation
framework. These research efforts have been complemented by formulations
of several properties that these gradual semantics may satisfy.
More recently a synthesis of many literature properties into more general
groupings based on parametric definitions has been proposed. In
this paper we show how this generalised parametric formulation enables
the identification of new properties not previously considered in the literature
and discuss their usefulness to capture alternative requirements
coming from different application contexts.