Some properties of Janssen's fuzzy argumentation frameworks

Jiachao Wu, Nir Oren

Research output: Chapter in Book/Report/Conference proceedingPublished conference contribution


The majority of approaches to abstract argumentation with fuzziness yield some number as part of the computation process, which is then compared to some threshold in order to determine which arguments should appear in an extension. However, identifying such a threshold is difficult, and a more natural approach therefore involves representing the extension as a fuzzy set of arguments. Such an approach was taken by Janssen's fuzzy argumentation frameworks, and in this paper we examine this framework, clarifying some of its definitions and adding some auxiliary notions which make the system more understandable and simplify the computation of extensions. Finally, we consider a specialization of the system by instantiating it with the Gödel t-norm min, and demonstrate that Janssen's framework is different from some fuzzy systems, such as the one proposed by de Costa Pereira et al.

Original languageEnglish
Title of host publicationCEUR Workshop Proceedings
Subtitle of host publication1st Chinese Conference on Logic and Argumentation, CLAR 2016; Hangzhou, China
EditorsT Agotnes, B Liao, Y N Wang
Number of pages8
Publication statusPublished - 2016
Event1st Chinese Conference on Logic and Argumentation, CLAR 2016 - Hangzhou, China
Duration: 2 Apr 20163 Apr 2016
Conference number: 126932

Publication series

NameCEUR Workshop Proceedings
ISSN (Print)1613-0073


Conference1st Chinese Conference on Logic and Argumentation, CLAR 2016


  • Argumentation framework
  • Fuzzy arguments
  • Relabeling


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