Abstract
Gradual semantics are now well-studied in the computational argumentation literature. In this paper, we argue that gradual semantics that can handle both bipolarity (e.g. attacks and supports) and sets of attacking arguments (i.e. several arguments together attacking an argument) might be useful in some contexts. We define the formal framework and properties for such semantics. We proceed by adapting, studying and implementing three well-known semantics from the bipolar gradual literature to this new framework.
Srdjan Vesic was supported by “Responsible AI” ANR Chair in Artificial Intelligence, https://ia-responsable.eu/.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Amgoud, L., Ben-Naim, J.: Weighted bipolar argumentation graphs: axioms and semantics. In: Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence, IJCAI 2018 (2018)
Amgoud, L., Ben-Naim, J., Doder, D., Vesic, S.: Acceptability semantics for weighted argumentation frameworks. In: Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence, IJCAI 2017, pp. 56–62 (2017)
Amgoud, L., Cayrol, C., Lagasquie-Schiex, M.-C., Livet, P.: On bipolarity in argumentation frameworks. Int. J. Intell. Syst. 23(10), 1062–1093 (2008)
Amgoud, L., Doder, D.: Gradual semantics accounting for varied-strength attacks. In: Proceedings of the 18th International Conference on Autonomous Agents and MultiAgent Systems, AAMAS 2019, pp. 1270–1278 (2019)
Bench-Capon, T.J.M., Prakken, H.: Justifying actions by accruing arguments. Comput. Models Argument Proc. COMMA 2006, 247–258 (2006)
Bonzon, E., Delobelle, J., Konieczny, S., Maudet, N.: A comparative study of ranking-based semantics for abstract argumentation. In: Proceedings of the Thirtieth AAAI Conference on Artificial Intelligence, pp. 914–920 (2016)
Cayrol, C., Lagasquie-Schiex, M.-C.: On the acceptability of arguments in bipolar argumentation frameworks. In: Symbolic and Quantitative Approaches to Reasoning with Uncertainty, 8th European Conference, ECSQARU 2005, Proceedings, pp. 378–389 (2005)
Leite, J., Martins, J.: Social abstract argumentation. In: IJCAI 2011, Proceedings of the 22nd International Joint Conference on Artificial Intelligence, pp. 2287–2292 (2011)
Lucero, M.J.G., Chesñevar, C.I., Simari, G.R.: Modelling argument accrual in possibilistic defeasible logic programming. In: Symbolic and Quantitative Approaches to Reasoning with Uncertainty, 10th European Conference, ECSQARU 2009, pp. 131–143 (2009)
Lucero, M.J.G., Chesñevar, C.I., Simari, G.R.: On the accrual of arguments in defeasible logic programming. In: Proceedings of the 21st International Joint Conference on Artificial Intelligence, IJCAI 2009, pp. 804–809 (2009)
Matt, P.-A., Toni, F.: A game-theoretic measure of argument strength for abstract argumentation. In: Logics in Artificial Intelligence, 11th European Conference, JELIA 2008, Proceedings, pp. 285–297 (2008)
Modgil, S., Bench-Capon, T.J.M.: Integrating dialectical and accrual modes of argumentation. In: Computational Models of Argument: Proceedings of COMMA 2010, 8–10 September, 2010, pp. 335–346 (2010)
Mossakowski, T., Neuhaus, F.: Bipolar Weighted Argumentation Graphs. CoRR, abs/1611.08572 (2016)
Mossakowski, T., Neuhaus, F.: Modular Semantics and Characteristics for Bipolar Weighted Argumentation Graphs. CoRR, abs/1807.06685 (2018)
Nielsen, Søren Holbech., Parsons, Simon: A generalization of dung’s abstract framework for argumentation: arguing with sets of attacking arguments. In: Maudet, Nicolas, Parsons, Simon, Rahwan, Iyad (eds.) ArgMAS 2006. LNCS (LNAI), vol. 4766, pp. 54–73. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-75526-5_4
C. d. C. Pereira, A. Tettamanzi, and S. Villata. Changing One’s Mind: Erase or Rewind? In Proceedings of the 22nd International Joint Conference on Artificial Intelligence, IJCAI 2011, pages 164–171, 2011
Potyka, N.: Continuous dynamical systems for weighted bipolar argumentation. In: Principles of Knowledge Representation and Reasoning: Proceedings of the Sixteenth International Conference, KR 2018, pp. 148–157 (2018)
Prakken, H.: A study of accrual of arguments, with applications to evidential reasoning. Proceedings of the Tenth International Conference on Artificial Intelligence and Law, ICAIL 2005, 85–94 (2005)
Prakken, H.: Modelling accrual of arguments in ASPIC+. In: Proceedings of the Seventeenth International Conference on Artificial Intelligence and Law, ICAIL 2019, pp. 103–112 (2019)
Rago, A., Toni, F., Aurisicchio, M., Baroni, P.: Discontinuity-free decision support with quantitative argumentation debates. In: Principles of Knowledge Representation and Reasoning: Proceedings of the Fifteenth International Conference, KR 2016, pp. 63–73 (2016)
Verheij, B.: Accrual of arguments in defeasible argumentation, pp. 217–224. In Dutch/German Workshop on Nonmonotonic Reasoning. Proceedings of the Second Workshop, Delft University of Technology, Universiteit Utrecht (1995)
Yun, B., Vesic, S., Croitoru, M.: Ranking-based semantics for sets of attacking arguments. In: The Thirty-Fourth AAAI Conference on Artificial Intelligence, AAAI 2020, pp. 3033–3040 (2020)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Yun, B., Vesic, S. (2021). Gradual Semantics for Weighted Bipolar SETAFs. In: Vejnarová, J., Wilson, N. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2021. Lecture Notes in Computer Science(), vol 12897. Springer, Cham. https://doi.org/10.1007/978-3-030-86772-0_15
Download citation
DOI: https://doi.org/10.1007/978-3-030-86772-0_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-86771-3
Online ISBN: 978-3-030-86772-0
eBook Packages: Computer ScienceComputer Science (R0)