Bernreiter, M., Dvořák, W., & Woltran, S. (2022). Abstract Argumentation with Conditional Preferences. In Computational Models of Argument. Proceedings of COMMA 2022 (pp. 92–103). IOS Press. https://doi.org/10.3233/FAIA220144
In this paper, we study conditional preferences in abstract argumentation by introducing a new generalization of Dung-style argumentation frameworks (AFs) called Conditional Preference-based AFs (CPAFs). Each subset of arguments in a CPAF can be associated with its own preference relation. This generalizes existing approaches for preference-handling in abstract argumentation, and allows us to reason about conditional preferences in a general way. We conduct a principle-based analysis of CPAFs and compare them to related generalizations of AFs. Specifically, we highlight similarities and differences to Modgil's Extended AFs and show that our formalism can capture Value-based AFs.
Revealing and Utilizing the Hidden Structure for Solving Hard Problems in AI: ICT19-065 (WWTF Wiener Wissenschafts-, Forschu und Technologiefonds)