Abstract
In this paper we investigate a technique for fusing approximate knowledge obtained from distributed, heterogeneous information sources. We use a generalization of rough sets and relations [14], which depends on allowing arbitrary similarity relations. The starting point of this research is [2], where a framework for knowledge fusion in multi-agent systems is introduced. Agent’s individual perceptual capabilities are represented by similarity relations, further aggregated to express joint capabilities of teams. This aggregation, allowing a shift from individual to social level, has been formalized by means of dynamic logic. The approach of [2] uses the full propositional dynamic logic, not guaranteeing the tractability of reasoning. Therefore the results of [11, 12, 13] are adapted to provide a technical engine for tractable approximate database querying restricted to a Horn fragment of serial PDL. We also show that the obtained formalism is quite powerful in applications.
Supported by the MNiSW grants N N206 399134 and N N206 399334.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Demri, S.P., Orłowska, E.S.: Incomplete Information: Structure, Inference, Complexity. In: Monographs in Theoretical Computer Science. An EATCS Series. Springer, Heidelberg (2002)
Doherty, P., Dunin-Kȩplicz, B., Szałas, A.: Dynamics of approximate information fusion. In: Kryszkiewicz, M., Peters, J.F., Rybiński, H., Skowron, A. (eds.) RSEISP 2007. LNCS (LNAI), vol. 4585, pp. 668–677. Springer, Heidelberg (2007)
Doherty, P., Łukaszewicz, W., Skowron, A., Szałas, A.: Knowledge Representation Techniques. A Rough Set Approach. Studies in Fuziness and Soft Computing, vol. 202. Springer, Heidelberg (2006)
Doherty, P., Łukaszewicz, W., Szałas, A.: Communication between agents with heterogeneous perceptual capabilities. Journal of Information Fusion 8(1), 56–69 (2007)
Doherty, P., Szałas, A.: On the correspondence between approximations and similarity. In: Tsumoto, S., Słowiński, R., Komorowski, J., Grzymała-Busse, J.W. (eds.) RSCTC 2004. LNCS (LNAI), vol. 3066, pp. 143–152. Springer, Heidelberg (2004)
Dunin-Kȩplicz, B., Szałas, A.: Towards approximate BGI systems. In: Burkhard, H.-D., Lindemann, G., Verbrugge, R., Varga, L.Z. (eds.) CEEMAS 2007. LNCS (LNAI), vol. 4696, pp. 277–287. Springer, Heidelberg (2007)
Dunin-Kȩplicz, B., Verbrugge, R.: Collective intentions. Fundamenta Informaticae 51(3), 271–295 (2002)
Dunin-Kȩplicz, B., Verbrugge, R.: A tuning machine for cooperative problem solving. Fundamenta Informaticae 63, 283–307 (2004)
Harel, D., Kozen, D., Tiuryn, J.: Dynamic Logic. MIT Press, Cambridge (2000)
Maluszyński, J., Szałas, A., Vitória, A.: Paraconsistent logic programs with four-valued rough sets. In: Chan, C.-C., Grzymala-Busse, J.W., Ziarko, W.P. (eds.) RSCTC 2008. LNCS (LNAI), vol. 5306, pp. 41–51. Springer, Heidelberg (2008)
Nguyen, L.A.: On the deterministic Horn fragment of test-free PDL. In: Hodkinson, I., Venema, Y. (eds.) Advances in Modal Logic, vol. 6, pp. 373–392. King’s College Publications (2006)
Nguyen, L.A.: Weakening Horn knowledge bases in regular description logics to have PTIME data complexity. In: Ghilardi, S., Sattler, U., Sofronie-Stokkermans, V., Tiwari, A. (eds.) Proceedings of ADDCT 2007, pp. 32–47 (2007)
Nguyen, L.A.: Constructing finite least Kripke models for positive logic programs in serial regular grammar logics. Logic Journal of the IGPL 16(2), 175–193 (2008)
Pawlak, Z.: Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dunin-Kȩplicz, B., Nguyen, L.A., Szałas, A. (2009). Fusing Approximate Knowledge from Distributed Sources. In: Papadopoulos, G.A., Badica, C. (eds) Intelligent Distributed Computing III. Studies in Computational Intelligence, vol 237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03214-1_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-03214-1_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03213-4
Online ISBN: 978-3-642-03214-1
eBook Packages: EngineeringEngineering (R0)