A mathematical treatment of defeasible reasoning and its implementation
Artificial Intelligence
A Reasoning Model Based on the Production of Acceptable Arguments
Annals of Mathematics and Artificial Intelligence
Inferring from Inconsistency in Preference-Based Argumentation Frameworks
Journal of Automated Reasoning
Management of Preferences in Assumption-Based Reasoning
IPMU '92 Proceedings of the 4th International Conference on Processing and Management of Uncertainty in Knowledge-Based Systems: Advanced Methods in Artificial Intelligence
On principle-based evaluation of extension-based argumentation semantics
Artificial Intelligence
Elements of Argumentation
Using arguments for making and explaining decisions
Artificial Intelligence
Reasoning about preferences in argumentation frameworks
Artificial Intelligence
Generalizing stable semantics by preferences
Proceedings of the 2010 conference on Computational Models of Argument: Proceedings of COMMA 2010
Refined Preference-based Argumentation Frameworks
Proceedings of the 2010 conference on Computational Models of Argument: Proceedings of COMMA 2010
Preferences in AI: An overview
Artificial Intelligence
Two roles of preferences in argumentation frameworks
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
A new approach for preference-based argumentation frameworks
Annals of Mathematics and Artificial Intelligence
Preference-Based argumentation handling dynamic preferences built on prioritized logic programming
PRIMA'11 Proceedings of the 14th international conference on Agents in Principle, Agents in Practice
Argumentation system allowing suspend/resume of an argumentation line
ArgMAS'10 Proceedings of the 7th international conference on Argumentation in Multi-Agent Systems
Preference-Based argumentation capturing prioritized logic programming
ArgMAS'10 Proceedings of the 7th international conference on Argumentation in Multi-Agent Systems
Revisiting preferences and argumentation
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Generalizing naive and stable semantics in argumentation frameworks with necessities and preferences
SUM'12 Proceedings of the 6th international conference on Scalable Uncertainty Management
A semantics for dynamic argumentation frameworks
ArgMAS'11 Proceedings of the 8th international conference on Argumentation in Multi-Agent Systems
A general account of argumentation with preferences
Artificial Intelligence
Rich preference-based argumentation frameworks
International Journal of Approximate Reasoning
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Argumentation is a reasoning model based on the construction and evaluation of arguments. Dung has proposed an abstract argumentation framework in which arguments are assumed to have the same strength. This assumption is unfortunately not realistic. Consequently, three main extensions of the framework have been proposed in the literature. The basic idea is that if an argument is stronger than its attacker, the attack fails. The aim of the paper is twofold: First, it shows that the three extensions of Dung framework may lead to unintended results. Second, it proposes a new approach that takes into account the strengths of arguments, and that ensures sound results. We start by presenting two minimal requirements that any preference-based argumentation framework should satisfy, namely the conflict-freeness of arguments extensions and the generalization of Dung's framework. Inspired from works on handling inconsistency in knowledge bases, the proposed approach defines a binary relation on the powerset of arguments. The maximal elements of this relation represent the extensions of the new framework.