DeepAI AI Chat
Log In Sign Up

A Note on Rich Incomplete Argumentation Frameworks

by   Jean-Guy Mailly, et al.

Recently, qualitative uncertainty in abstract argumentation has received much attention. The first works on this topic introduced uncertainty about the presence of attacks, then about the presence of arguments, and finally combined both kinds of uncertainty. This results in the Incomplete Argumentation Framework (IAFs). But another kind of uncertainty was introduced in the context of Control Argumentation Frameworks (CAFs): it consists in a conflict relation with uncertain orientation, i.e. we are sure that there is an attack between two arguments, but the actual direction of the attack is unknown. Here, we formally define Rich IAFs, that combine the three different kinds of uncertainty that were previously introduced in IAFs and CAFs. We show that this new model, although strictly more expressive than IAFs, does not suffer from a blow up of computational complexity. Also, the existing computational approach based on SAT can be easily adapted to the new framework.


page 1

page 2

page 3

page 4


Collective Argumentation

An extension of an abstract argumentation framework, called collective a...

A Labelling Framework for Probabilistic Argumentation

The combination of argumentation and probability paves the way to new ac...

Resolving Conflicting Arguments under Uncertainties

Distributed knowledge based applications in open domain rely on common s...

Using Enthymemes to Fill the Gap between Logical Argumentation and Revision of Abstract Argumentation Frameworks

In this paper, we present a preliminary work on an approach to fill the ...

Handling controversial arguments by matrix

We introduce matrix and its block to the Dung's theory of argumentation ...

Qualitative uncertainty and dynamics of argumentation through dynamic logic

Dynamics and uncertainty are essential features of real-life argumentati...

Argumentation-based Security for Social Good

The increase of connectivity and the impact it has in every day life is ...