Some properties of Janssen's fuzzy argumentation frameworks

Jiachao Wu, Nir Oren

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    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
    PublisherCEUR-WS
    Pages30-37
    Number of pages8
    Volume1811
    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
    PublisherCEUR
    ISSN (Print)1613-0073

    Conference

    Conference1st Chinese Conference on Logic and Argumentation, CLAR 2016
    CountryChina
    CityHangzhou
    Period2/04/163/04/16

    Fingerprint

    Fuzzy systems
    Fuzzy sets

    Keywords

    • Argumentation framework
    • Fuzzy arguments
    • Relabeling

    ASJC Scopus subject areas

    • Computer Science(all)

    Cite this

    Wu, J., & Oren, N. (2016). Some properties of Janssen's fuzzy argumentation frameworks. In T. Agotnes, B. Liao, & Y. N. Wang (Eds.), CEUR Workshop Proceedings: 1st Chinese Conference on Logic and Argumentation, CLAR 2016; Hangzhou, China (Vol. 1811, pp. 30-37). (CEUR Workshop Proceedings). CEUR-WS.

    Some properties of Janssen's fuzzy argumentation frameworks. / Wu, Jiachao; Oren, Nir.

    CEUR Workshop Proceedings: 1st Chinese Conference on Logic and Argumentation, CLAR 2016; Hangzhou, China. ed. / T Agotnes; B Liao; Y N Wang. Vol. 1811 CEUR-WS, 2016. p. 30-37 (CEUR Workshop Proceedings).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Wu, J & Oren, N 2016, Some properties of Janssen's fuzzy argumentation frameworks. in T Agotnes, B Liao & YN Wang (eds), CEUR Workshop Proceedings: 1st Chinese Conference on Logic and Argumentation, CLAR 2016; Hangzhou, China. vol. 1811, CEUR Workshop Proceedings, CEUR-WS, pp. 30-37, 1st Chinese Conference on Logic and Argumentation, CLAR 2016, Hangzhou, China, 2/04/16.
    Wu J, Oren N. Some properties of Janssen's fuzzy argumentation frameworks. In Agotnes T, Liao B, Wang YN, editors, CEUR Workshop Proceedings: 1st Chinese Conference on Logic and Argumentation, CLAR 2016; Hangzhou, China. Vol. 1811. CEUR-WS. 2016. p. 30-37. (CEUR Workshop Proceedings).
    Wu, Jiachao ; Oren, Nir. / Some properties of Janssen's fuzzy argumentation frameworks. CEUR Workshop Proceedings: 1st Chinese Conference on Logic and Argumentation, CLAR 2016; Hangzhou, China. editor / T Agotnes ; B Liao ; Y N Wang. Vol. 1811 CEUR-WS, 2016. pp. 30-37 (CEUR Workshop Proceedings).
    @inproceedings{d6795917274447578571a18ede947398,
    title = "Some properties of Janssen's fuzzy argumentation frameworks",
    abstract = "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 G{\"o}del 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.",
    keywords = "Argumentation framework, Fuzzy arguments, Relabeling",
    author = "Jiachao Wu and Nir Oren",
    year = "2016",
    language = "English",
    volume = "1811",
    series = "CEUR Workshop Proceedings",
    publisher = "CEUR-WS",
    pages = "30--37",
    editor = "T Agotnes and B Liao and Wang, {Y N}",
    booktitle = "CEUR Workshop Proceedings",

    }

    TY - GEN

    T1 - Some properties of Janssen's fuzzy argumentation frameworks

    AU - Wu, Jiachao

    AU - Oren, Nir

    PY - 2016

    Y1 - 2016

    N2 - 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.

    AB - 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.

    KW - Argumentation framework

    KW - Fuzzy arguments

    KW - Relabeling

    UR - http://www.scopus.com/inward/record.url?scp=85017099312&partnerID=8YFLogxK

    M3 - Conference contribution

    VL - 1811

    T3 - CEUR Workshop Proceedings

    SP - 30

    EP - 37

    BT - CEUR Workshop Proceedings

    A2 - Agotnes, T

    A2 - Liao, B

    A2 - Wang, Y N

    PB - CEUR-WS

    ER -