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Determining Preferences over Extensions: A Cautious Approach to Preference-Based Argumentation Frameworks

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Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2023)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 14294))

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Abstract

Preferences in abstract argumentation frameworks allow to represent the comparative strength of arguments, or preferences between values that arguments promote. In this paper, we reconsider the approach by Amgoud and Vesic, which computes the extensions of a preference-based argumentation framework by aggregating preferences and attacks into a new attack relation in a way that it favors preferred arguments in conflicts, and then simply applying Dung’s semantics to the resulting graph. We argue that this approach is too rigid in some situations, as it discards other sensible (even if less preferred) alternatives. We propose a more cautious approach to preference-based argumentation, which favors preferred arguments in attacks, but also does not discard feasible alternatives. Our semantics returns a set of extensions and a preference relation between them. It generalizes the approach by Amgoud and Vesic, in the sense that the extensions identified by their semantics will be more preferred than other extensions.

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References

  1. Amgoud, L.: Argumentation for decision making. In: Simari, G., Rahwan, I. (eds.) Argumentation in Artificial Intelligence, pp. 301–320. Springer, Boston (2009). https://doi.org/10.1007/978-0-387-98197-0_15

    Chapter  Google Scholar 

  2. Amgoud, L., Cayrol, C.: A reasoning model based on the production of acceptable arguments. Anna. Math. Artif. Intell. 34, 197–215 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  3. Amgoud, L., Cayrol, C.: Inferring from inconsistency in preference-based argumentation frameworks. J. Autom. Reason. 29(2), 125–169 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  4. Amgoud, L., Vesic, S.: A new approach for preference-based argumentation frameworks. Ann. Math. Artif. Intell. 63(2), 149–183 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  5. Amgoud, L., Vesic, S.: On the role of preferences in argumentation frameworks. In: 2010 22nd IEEE International Conference on Tools with Artificial Intelligence. vol. 1, pp. 219–222 (2010)

    Google Scholar 

  6. Amgoud, L.B., Vesic, S.: Repairing preference-based argumentation frameworks. In: Twenty-First International Joint Conference on Artificial Intelligence. Citeseer (2009)

    Google Scholar 

  7. Atkinson, K., et al.: Towards artificial argumentation. AI Mag. 38(3), 25–36 (2017). https://doi.org/10.1609/aimag.v38i3.2704

    Article  Google Scholar 

  8. Bench-Capon, T.J.: Persuasion in practical argument using value-based argumentation frameworks. J. Logic Comput. 13(3), 429–448 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  9. Bench-Capon, T.J., Dunne, P.E.: Argumentation in artificial intelligence. Artif. Intell. 171(10–15), 619–641 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  10. Bernreiter, M., Dvorák, W., Woltran, S.: Abstract argumentation with conditional preferences. In: Toni, F., et al Computational Models of Argument - Proceedings of COMMA 2022, Cardiff, Wales, UK, 14–16 September 2022. Frontiers in Artificial Intelligence and Applications. IOS Press, vol. 353. pp. 92–103 (2022). https://doi.org/10.3233/FAIA220144

  11. Dung, P.M.: On the acceptability of arguments and its fundamental role in nonmonotonic reasoning, logic programming and n-person games. Artif. Intell. 77(2), 321–357 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  12. Grooters, D., Prakken, H.: Combining paraconsistent logic with argumentation. In: COMMA, pp. 301–312 (2014)

    Google Scholar 

  13. Kaci, S., van der Torre, L., Villata, S.: Preference in abstract argumentation. In: 7th International Conference on Computational Models of Argument (COMMA). vol. 305, pp. 405–412. IOS Press (2018)

    Google Scholar 

  14. Lin, F., Shoham, Y.: Argument systems: a uniform basis for nonmonotonic reasoning. In: KR, vol. 89, pp. 245–255 (1989)

    Google Scholar 

  15. Modgil, S.: Reasoning about preferences in argumentation frameworks. Artif. Intell. 173(9–10), 901–934 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  16. Rahwan, I., Simari, G.R.: Argumentation in Artificial Intelligence, vol. 47. Springer, New York (2009). https://doi.org/10.1007/978-0-387-98197-0

    Book  Google Scholar 

  17. Simari, G.R., Loui, R.P.: A mathematical treatment of defeasible reasoning and its implementation. Artif. Intell. 53(2–3), 125–157 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  18. Zhong, Q., et al.: An explainable multi-attribute decision model based on argumentation. Expert Syst. Appl. 117, 42–61 (2019)

    Article  Google Scholar 

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Correspondence to Saul Gebhardt .

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Gebhardt, S., Doder, D. (2024). Determining Preferences over Extensions: A Cautious Approach to Preference-Based Argumentation Frameworks. In: Bouraoui, Z., Vesic, S. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2023. Lecture Notes in Computer Science(), vol 14294. Springer, Cham. https://doi.org/10.1007/978-3-031-45608-4_9

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  • DOI: https://doi.org/10.1007/978-3-031-45608-4_9

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  • Online ISBN: 978-3-031-45608-4

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