Handling Preferences in Argumentation Frameworks with Necessities

Argumentation theory is a promising reasoning model which is more and more used to solve various key problems in artificial intelligence. Most of the developments in this domain are based on extended versions of Dung argumentation frameworks (AFs). In this paper, we propose an argumentation model that extends Dung AFs by two additional aspects : a necessity relation that represents a particular positive interaction between arguments and a preference relation that allows to represent arguments that do not have the same strength.

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