Assumption-Based Argumentation Equipped with Preferences

Abstract

The existing approaches which map the given explicit preferences into standard assumption-based argumentation frameworks (ABAs) reveal some difficulties such as generating a huge number of rules and so on. To overcome them, we present an assumption-based argumentation framework equipped with preferences (p_ABA). It increases the expressive power of ABA by incorporating preferences between sentences into the framework. The semantics of p_ABAs is given by \(\mathcal{P}\) extensions selected from extensions of ABAs based on the given sentence ordering. The advantages of our approach are that not only it enables us to express different kinds of preferences such as preferences over rules, over goals, over decisions by means of sentence orderings in p_ABAs but we also successfully obtain solutions from \(\mathcal{P}\) extensions of the p_ABAs expressing the respective knowledge for various applications such as epistemic reasoning, practical reasoning, decision-making with preferences and so on in a uniform way without suffering from difficulties of existing ones.