Weighted Abstract Dialectical Frameworks

Gerhard Brewka, Hannes Strass, Johannes Peter Wallner, Stefan Woltran

AAAI 2018 pp. 1779-1786

doi:10.1609/AAAI.V32I1.11545 /aaai/2018/brewka2018aaai-weighted/

Abstract

Abstract Dialectical Frameworks (ADFs) generalize Dung's argumentation frameworks allowing various relationships among arguments to be expressed in a systematic way. We further generalize ADFs so as to accommodate arbitrary acceptance degrees for the arguments. This makes ADFs applicable in domains where both the initial status of arguments and their relationship are only insufficiently specified by Boolean functions. We define all standard ADF semantics for the weighted case, including grounded, preferred and stable semantics. We illustrate our approach using acceptance degrees from the unit interval and show how other valuation structures can be integrated. In each case it is sufficient to specify how the generalized acceptance conditions are represented by formulas, and to specify the information ordering underlying the characteristic ADF operator. We also present complexity results for problems related to weighted ADFs.

PDF AAAI Semantic Scholar

Cite

Text

Brewka et al. "Weighted Abstract Dialectical Frameworks." AAAI Conference on Artificial Intelligence, 2018. doi:10.1609/AAAI.V32I1.11545

Markdown

[Brewka et al. "Weighted Abstract Dialectical Frameworks." AAAI Conference on Artificial Intelligence, 2018.](https://mlanthology.org/aaai/2018/brewka2018aaai-weighted/) doi:10.1609/AAAI.V32I1.11545

BibTeX

@inproceedings{brewka2018aaai-weighted,
  title     = {{Weighted Abstract Dialectical Frameworks}},
  author    = {Brewka, Gerhard and Strass, Hannes and Wallner, Johannes Peter and Woltran, Stefan},
  booktitle = {AAAI Conference on Artificial Intelligence},
  year      = {2018},
  pages     = {1779-1786},
  doi       = {10.1609/AAAI.V32I1.11545},
  url       = {https://mlanthology.org/aaai/2018/brewka2018aaai-weighted/}
}