Fuzzy Labeling Semantics for Quantitative Argumentation
This addresses the limitation of existing acceptability degrees in practical applications for researchers in abstract argumentation, though it appears incremental as it builds on gradual semantics.
The paper tackles the problem of evaluating argument strength in quantitative argumentation systems by introducing a novel fuzzy labeling method that uses a triple of acceptability, rejectability, and undecidability degrees, providing a deeper understanding of argument status.
Evaluating argument strength in quantitative argumentation systems has received increasing attention in the field of abstract argumentation. The concept of acceptability degree is widely adopted in gradual semantics, however, it may not be sufficient in many practical applications. In this paper, we provide a novel quantitative method called fuzzy labeling for fuzzy argumentation systems, in which a triple of acceptability, rejectability, and undecidability degrees is used to evaluate argument strength. Such a setting sheds new light on defining argument strength and provides a deeper understanding of the status of arguments. More specifically, we investigate the postulates of fuzzy labeling, which present the rationality requirements for semantics concerning the acceptability, rejectability, and undecidability degrees. We then propose a class of fuzzy labeling semantics conforming to the above postulates and investigate the relations between fuzzy labeling semantics and existing work in the literature.