Fuzzy Labeling Semantics for Quantitative Argumentation

TL;DR

This paper introduces fuzzy labeling, a novel quantitative approach for evaluating argument strength in abstract argumentation systems using acceptability, rejectability, and undecidability degrees, enhancing the understanding of argument status.

Contribution

It proposes a new fuzzy labeling semantics that incorporates three degrees for argument evaluation, addressing limitations of traditional acceptability measures.

Findings

Fuzzy labeling semantics conform to rationality postulates.

The new semantics relate to existing argumentation frameworks.

Provides a deeper understanding of argument strength evaluation.

Abstract

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.