Gödel Fuzzy Argumentation Frameworks

Jiachao Wu, Hengfei Li, Nir Oren, Timothy J. Norman

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Abstract

In this paper we combine fuzzy set theory and argumentation to facilitate the use of fuzzy arguments and attacks. Unlike many existing approaches, our work does not require the use of any parameters, bringing it closer to Dung's work in spirit. We begin by introducing Fuzzy Argumentation Frameworks, and specialise them using the Gödel t-norm. We then examine this framework's properties and show that the standard Dung extensions are obtained, though the stable semantics coincide with the preferred. Finally, we examine the relationship between our framework and Dung's original system, as well as the existing fuzzy frameworks, describing where they overlap and differ.
Original languageEnglish
Title of host publicationComputational Models of Argument
Subtitle of host publicationProceedings of the International Conference on Computational Models of Argument (COMMA 2016)
EditorsPietro Baroni, Thomas F. Gordon, Tatjana Scheffler, Manfred Stede
PublisherIOS Press
Pages447-548
Number of pages12
ISBN (Electronic)9781614996866
ISBN (Print)9781614996859
DOIs
Publication statusPublished - 2016
EventCOMMA 2016 - University of Potsdam, Potsdam, Germany
Duration: 13 Sep 201616 Sep 2016

Publication series

NameFrontiers in Artificial Intelligence and Applications
PublisherIOS Press
Volume287
ISSN (Print)0922-6389
ISSN (Electronic)1879-8314

Conference

ConferenceCOMMA 2016
CountryGermany
CityPotsdam
Period13/09/1616/09/16

Keywords

  • fuzzy argumentation
  • abstract argumentation
  • semantics

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  • Cite this

    Wu, J., Li, H., Oren, N., & Norman, T. J. (2016). Gödel Fuzzy Argumentation Frameworks. In P. Baroni, T. F. Gordon, T. Scheffler, & M. Stede (Eds.), Computational Models of Argument: Proceedings of the International Conference on Computational Models of Argument (COMMA 2016) (pp. 447-548). (Frontiers in Artificial Intelligence and Applications; Vol. 287). IOS Press. https://doi.org/10.3233/978-1-61499-686-6-447