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2017 | OriginalPaper | Chapter

Multi-agent Belief Revision Using Multisets

Author : Konstantinos Georgatos

Published in: Logic, Rationality, and Interaction

Publisher: Springer Berlin Heidelberg

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Abstract

Revising a belief set K with a proposition a results in a theory that entails a. We consider the case of a multiset of beliefs, representing the beliefs of multiple agents, and define its revision with a multiset of desired beliefs the group of agents should have. We give graph theoretic semantics to this revision operation and we postulate two classes of distance-based revision operators. Further, we show that this multiset revision operation can express the merging of the beliefs of multiple agents.

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Literature
4.
go back to reference Fagin, R., Halpern, J.Y., Moses, Y., Vardi, M.Y.: Reasoning About Knowledge. MIT Press, Cambridge (1995)MATH Fagin, R., Halpern, J.Y., Moses, Y., Vardi, M.Y.: Reasoning About Knowledge. MIT Press, Cambridge (1995)MATH
6.
go back to reference Georgatos, K.: Belief update using graphs. In: Proceedings of the Twenty-First International Florida Artificial Intelligence Research Society Conference, pp. 649–654. AAAI Press (2008) Georgatos, K.: Belief update using graphs. In: Proceedings of the Twenty-First International Florida Artificial Intelligence Research Society Conference, pp. 649–654. AAAI Press (2008)
11.
go back to reference Konieczny, S., Lang, J., Marquis, P.: DA2 merging operators. Artif. Intell. 157(12), 49–79 (2004)CrossRefMATH Konieczny, S., Lang, J., Marquis, P.: DA2 merging operators. Artif. Intell. 157(12), 49–79 (2004)CrossRefMATH
12.
13.
14.
go back to reference Liberatore, P., Schaerf, M.: Arbitration (or how to merge knowledge bases). IEEE Trans. Knowl. Data Eng. 10(1), 76–90 (1998)CrossRef Liberatore, P., Schaerf, M.: Arbitration (or how to merge knowledge bases). IEEE Trans. Knowl. Data Eng. 10(1), 76–90 (1998)CrossRef
15.
go back to reference Poincaré, H.: La Valeur de la Science. Flammarion, Paris (1905)MATH Poincaré, H.: La Valeur de la Science. Flammarion, Paris (1905)MATH
16.
go back to reference Revesz, P.Z.: On the semantics of theory change: arbitration between old and new information. In: Proceedings of the Twelfth ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Databases, pp. 71–82 (1993) Revesz, P.Z.: On the semantics of theory change: arbitration between old and new information. In: Proceedings of the Twelfth ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Databases, pp. 71–82 (1993)
17.
go back to reference Schlechta, K.: Non-prioritized belief revision based on distances between models. Theoria 63(1–2), 34–53 (1997)MathSciNet Schlechta, K.: Non-prioritized belief revision based on distances between models. Theoria 63(1–2), 34–53 (1997)MathSciNet
18.
go back to reference Zeeman, E.C.: The topology of the brain and visual perception. In: Fort, M.K. (ed.) The Topology of 3-Manifolds, pp. 240–256. Prentice Hall, Englewood Cliffs (1962) Zeeman, E.C.: The topology of the brain and visual perception. In: Fort, M.K. (ed.) The Topology of 3-Manifolds, pp. 240–256. Prentice Hall, Englewood Cliffs (1962)
Metadata
Title
Multi-agent Belief Revision Using Multisets
Author
Konstantinos Georgatos
Copyright Year
2017
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-55665-8_32

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