Abstract
In this paper, we propose a numerical approach to the problem of merging of argumentation networks. The idea is to consider an augmented network containing the arguments and attacks of all networks to be merged and then associate a weight to each of its components based on how they are perceived by the agents associated with the local networks. The combined weighted network is then used to define a system of equations from which the overall strength of the arguments is calculated.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Ahuja, R.K., Magnanti, T.L., Orlin, J.B.: Network flows – Theory, algorithms and applications. Prentice-Hall (1993)
Amgoud, L., Kaci, S.: An argumentation framework for merging conflicting knowledge bases. Journal of Approximate Reasoning 45, 321–340 (2007)
Barringer, H., Gabbay, D.M., Woods, J.: Temporal Dynamics of Support and Attack Networks: From Argumentation to Zoology. In: Hutter, D., Stephan, W. (eds.) Mechanizing Mathematical Reasoning. LNCS (LNAI), vol. 2605, pp. 59–98. Springer, Heidelberg (2005)
Bench-Capon, T.J.M.: Persuasion in practical argument using value-based argumentation frameworks. Journal of Logic and Computation 13(3), 429–448 (2003)
Besnard, P., Hunter, A.: A logic-based theory of deductive arguments. Artificial Intelligence 128(1-2), 203–235 (2001)
Bistarelli, S., Santini, F.: A common computational framework for semiring-based argumentation systems. In: Proceedings of the 2010 conference on ECAI 2010: 19th European Conference on Artificial Intelligence, pp. 131–136. IOS Press, Amsterdam (2010)
Caminada, M., Gabbay, D.M.: A logical account of formal argumentation. Studia Logica 93(2-3), 109–145 (2009)
Cayrol, C., Lagasquie-Schiex, M.-C.: Graduality in argumentation. Journal of Artificial Intelligence Research 23, 245–297 (2005)
Cayrol, C., Lagasquie-Schiex, M.-C.: Merging argumentation systems with weighted argumentation systems: a preliminary study. Technical Report RR 2011-18 FR, IRIT (2011)
Chopra, S., Ghose, A., Meyer, T.: Social choice theory, belief merging, and strategy-proofness. Information Fusion 7(1), 61–79 (2006)
Coste-Marquis, S., Devred, C., Konieczny, S., Lagasquie-Schiex, M.-C., Marquis, P.: On the merging of Dung’s argumentation systems. Artificial Intelligence 171, 730–753 (2007)
Dung, P.M.: On the acceptability of arguments and its fundamental role in nonmonotonic reasoning, logic programming and n-person games. Artificial Intelligence 77, 321–357 (1995)
Dunne, P.E., Hunter, A., McBurney, P., Parsons, S., Wooldridge, M.: Weighted argument systems: Basic definitions, algorithms, and complexity results. Artificial Intelligence 175(2), 457–486 (2011)
Gabbay, D.M.: Introducing Equational Semantics for Argumentation Networks. In: Liu, W. (ed.) ECSQARU 2011. LNCS, vol. 6717, pp. 19–35. Springer, Heidelberg (2011)
Gabbay, D.M.: An equational approach to argumentation networks. Argumentation and Computation 3 (2012)
Gabbay, D.M., Pigozzi, G., Rodrigues, O.: Belief revision, belief merging and voting. In: Proceedings of the Seventh Conference on Logic and the Foundations of Games and Decision Theory (LOFT 2006), pp. 71–78. University of Liverpool (2006)
Konieczny, S., Pino-Pérez, R.: On the logic of merging. In: Proceedings of KR 1998, pp. 488–498. Morgan Kaufmann (1998)
Konieczny, S., Pino-Pérez, R.: Logic based merging. Journal of Philosophical Logic 40(2), 239–270 (2011)
Leite, J., Martins, J.: Social abstract argumentation. In: Proceedings of the 22nd International Joint Conference on Artificial Intelligence, pp. 2287–2292 (2011)
Pearl, J.: Fusion, propagation, and structuring in belief networks. Artificial Intelligence 29(3), 241–288 (1986)
Prakken, H.: An abstract framework for argumentation with structured arguments. Argument and Computation 1, 93–124 (2010)
Rahwan, I., Tohmé, F.: Collective argument evaluation as judgement aggregation. In: Proceedings of the 9th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2010, vol. 1, pp. 417–424. International Foundation for Autonomous Agents and Multiagent Systems, Richland (2010)
Wang, J., Luo, G., Wang, B.: Argumentation framework with weighted argument structure. In: 10th IEEE International Conference on Cognitive Informatics Cognitive Computing (ICCI*CC), pp. 385–391 (2011)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gabbay, D., Rodrigues, O. (2012). A Numerical Approach to the Merging of Argumentation Networks. In: Fisher, M., van der Torre, L., Dastani, M., Governatori, G. (eds) Computational Logic in Multi-Agent Systems. CLIMA 2012. Lecture Notes in Computer Science(), vol 7486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32897-8_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-32897-8_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32896-1
Online ISBN: 978-3-642-32897-8
eBook Packages: Computer ScienceComputer Science (R0)