Abstract
Several gradual semantics for abstract and bipolar argumentation have been proposed in the literature, ascribing to each argument a value taken from a scale, i.e. an ordered set. These values somewhat match the arguments’ dialectical status and provide an indication of their dialectical strength, in the context of the given argumentation framework. These research efforts have been complemented by formulations of several properties that these gradual semantics may satisfy. More recently a synthesis of many literature properties into more general groupings based on parametric definitions has been proposed. In this paper we show how this generalised parametric formulation enables the identification of new properties not previously considered in the literature and discuss their usefulness to capture alternative requirements coming from different application contexts.
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
References
Amgoud, L., Ben-Naim, J.: Axiomatic foundations of acceptability semantics. In: Principles of Knowledge Representation and Reasoning (KR): Proceedings of the Fifteenth International Conference, pp. 2–11 (2016). http://www.aaai.org/ocs/index.php/KR/KR16/paper/view/12855
Amgoud, L., Ben-Naim, J.: Evaluation of arguments from support relations: axioms and semantics. In: Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence (IJCAI), pp. 900–906 (2016)
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), pp. 56–62 (2017). https://doi.org/10.24963/ijcai.2017/9
Amgoud, L., Cayrol, C., Lagasquie-Schiex, M., Livet, P.: On bipolarity in argumentation frameworks. Int. J. Intell. Syst. 23(10), 1062–1093 (2008)
Baroni, P., Comini, G., Rago, A., Toni, F.: Abstract games of argumentation strategy and game-theoretical argument strength. In: An, B., Bazzan, A., Leite, J., Villata, S., van der Torre, L. (eds.) PRIMA 2017. LNCS (LNAI), vol. 10621, pp. 403–419. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-69131-2_24
Baroni, P., Rago, A., Toni, F.: How many properties do we need for gradual argumentation? In: Proceedings of the Thirty-Second AAAI Conference on Artificial Intelligence, pp. 1736–1743 (2018)
Baroni, P., Romano, M., Toni, F., Aurisicchio, M., Bertanza, G.: Automatic evaluation of design alternatives with quantitative argumentation. Argum. Comput. 6(1), 24–49 (2015). https://doi.org/10.1080/19462166.2014.1001791
Cocarascu, O., Toni, F.: Detecting deceptive reviews using argumentation. In: Proceedings of the 1st International Workshop on AI for Privacy and Security, PrAISe@ECAI 2016, The Hague, Netherlands, 29–30 August, pp. 9:1–9:8 (2016). http://doi.acm.org/10.1145/2970030.2970031
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), 321–358 (1995). https://doi.org/10.1016/0004-3702(94)00041-X
Gabbay, D.M.: Equational approach to argumentation networks. Argum. Comput. 3(2–3), 87–142 (2012). https://doi.org/10.1080/19462166.2012.704398
Leite, J., Martins, J.: Social abstract argumentation. In: Proceedings of the 22nd International Joint Conference on Artificial Intelligence (IJCAI), pp. 2287–2292 (2011). http://ijcai.org/papers11/Papers/IJCAI11-381.pdf
Matt, P.-A., Toni, F.: A game-theoretic measure of argument strength for abstract argumentation. In: Hölldobler, S., Lutz, C., Wansing, H. (eds.) JELIA 2008. LNCS (LNAI), vol. 5293, pp. 285–297. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-87803-2_24
Rago, A., Toni, F.: Quantitative argumentation debates with votes for opinion polling. In: An, B., Bazzan, A., Leite, J., Villata, S., van der Torre, L. (eds.) PRIMA 2017. LNCS (LNAI), vol. 10621, pp. 369–385. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-69131-2_22
Rago, A., Toni, F., Aurisicchio, M., Baroni, P.: Discontinuity-free decision support with quantitative argumentation debates. In: Principles of Knowledge Representation and Reasoning (KR): Proceedings of the Fifteenth International Conference, pp. 63–73 (2016). http://www.aaai.org/ocs/index.php/KR/KR16/paper/view/12874
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Rago, A., Baroni, P., Toni, F. (2018). On Instantiating Generalised Properties of Gradual Argumentation Frameworks. In: Ciucci, D., Pasi, G., Vantaggi, B. (eds) Scalable Uncertainty Management. SUM 2018. Lecture Notes in Computer Science(), vol 11142. Springer, Cham. https://doi.org/10.1007/978-3-030-00461-3_17
Download citation
DOI: https://doi.org/10.1007/978-3-030-00461-3_17
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00460-6
Online ISBN: 978-3-030-00461-3
eBook Packages: Computer ScienceComputer Science (R0)