Gödel Fuzzy Argumentation Frameworks

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

doi:10.3233/978-1-61499-686-6-447

Gödel Fuzzy Argumentation Frameworks

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

Computing Science

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

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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 language	English
Title of host publication	Computational Models of Argument
Subtitle of host publication	Proceedings of the International Conference on Computational Models of Argument (COMMA 2016)
Editors	Pietro Baroni, Thomas F. Gordon, Tatjana Scheffler, Manfred Stede
Publisher	IOS Press
Pages	447-548
Number of pages	12
ISBN (Electronic)	9781614996866
ISBN (Print)	9781614996859
DOIs	https://doi.org/10.3233/978-1-61499-686-6-447
Publication status	Published - 2016
Event	COMMA 2016 - University of Potsdam, Potsdam, Germany Duration: 13 Sep 2016 → 16 Sep 2016

Publication series

Name	Frontiers in Artificial Intelligence and Applications
Publisher	IOS Press
Volume	287
ISSN (Print)	0922-6389
ISSN (Electronic)	1879-8314

Conference

Conference	COMMA 2016
Country/Territory	Germany
City	Potsdam
Period	13/09/16 → 16/09/16

Keywords

fuzzy argumentation
abstract argumentation
semantics

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10.3233/978-1-61499-686-6-447Licence: CC BY-NC

Gödel Fuzzy Argumentation Frameworks
© 2016 The authors and IOS Press. This article is published online with Open Access by IOS Press and distributed under the terms of the Creative Commons Attribution Non-Commercial License 4.0 (CC BY-NC 4.0). https://creativecommons.org/licenses/by-nc/4.0/deed.en_US
Final published version, 270 KBLicence: CC BY-NC

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

Gödel Fuzzy Argumentation Frameworks. / Wu, Jiachao; Li, Hengfei; Oren, Nir et al.

Computational Models of Argument: Proceedings of the International Conference on Computational Models of Argument (COMMA 2016). ed. / Pietro Baroni; Thomas F. Gordon; Tatjana Scheffler; Manfred Stede. IOS Press, 2016. p. 447-548 (Frontiers in Artificial Intelligence and Applications; Vol. 287).

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

Wu, J, Li, H, Oren, N & Norman, TJ 2016, Gödel Fuzzy Argumentation Frameworks. in P Baroni, TF Gordon, T Scheffler & M Stede (eds), Computational Models of Argument: Proceedings of the International Conference on Computational Models of Argument (COMMA 2016). Frontiers in Artificial Intelligence and Applications, vol. 287, IOS Press, pp. 447-548, COMMA 2016, Potsdam, Germany, 13/09/16. https://doi.org/10.3233/978-1-61499-686-6-447

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

Wu, Jiachao ; Li, Hengfei ; Oren, Nir et al. / Gödel Fuzzy Argumentation Frameworks. Computational Models of Argument: Proceedings of the International Conference on Computational Models of Argument (COMMA 2016). editor / Pietro Baroni ; Thomas F. Gordon ; Tatjana Scheffler ; Manfred Stede. IOS Press, 2016. pp. 447-548 (Frontiers in Artificial Intelligence and Applications).

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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 G{\"o}del 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.",

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AB - 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.

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Gödel Fuzzy Argumentation Frameworks

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