Abstract
The article investigates probabilistic dependencies in hierarchies of probabilistic decision tables learned from data. They are expressed by the probabilistic generalization of the Pawlak’s measure of the dependency between attributes and the certainty gain measure.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Pawlak, Z.: Rough Sets. Theoretical Aspects of Reasoning About Data. Kluwer, Dordrecht (1991)
Ziarko, W.: Variable precision rough sets model. Journal of Computer and Systems Sciences 46(1), 39–59 (1993)
Pawlak, Z., Wong, S.K.M., Ziarko, W.: Rough sets: probabilistic versus deterministic approach. Intl. Journal of Man-Machine Studies 29, 81–95 (1988)
Greco, S., Matarazzo, B., Slowinski, R.: Rough membership and Bayesian confirmation measures for parametrized rough sets. In: Ślęzak, D., Wang, G., Szczuka, M., Düntsch, I., Yao, Y. (eds.) RSFDGrC 2005. LNCS (LNAI), vol. 3641, pp. 314–324. Springer, Heidelberg (2005)
Yao, Y.: Probabilistic approaches to rough sets. Expert Systems 20(5), 287–291 (2003)
Slezak, D., Ziarko, W.: The investigation of the Bayesian rough set model. International Journal of Approximate Reasoning, Elsevier 40, 81–91 (2005)
Ziarko, W.: Set approximation quality measures in the variable precision rough set model. Soft Computing Systems, pp. 442–452. IOS Press, Amsterdam (2001)
Ziarko, W.: Probabilistic rough sets. In: Ślęzak, D., Wang, G., Szczuka, M., Düntsch, I., Yao, Y. (eds.) RSFDGrC 2005. LNCS (LNAI), vol. 3641, pp. 283–293. Springer, Heidelberg (2005)
Hu, F., Wang, G., Huang, H., Wu, Y.: Incremental attribute reduction based on elementary sets. In: Ślęzak, D., Wang, G., Szczuka, M., Düntsch, I., Yao, Y. (eds.) RSFDGrC 2005. LNCS (LNAI), vol. 3641, pp. 185–193. Springer, Heidelberg (2005)
Ziarko, W.: Acquisition of hierarchy-structured probabilistic decision tables and rules from data. In: Proc. of IEEE Intl. Conf. on Fuzzy Systems, Honolulu, pp. 779–784 (2002)
Jubilee, M.: Analyzing Stock Market Using Rough Set Approach. M.Sc. thesis, University of Regina (in progress)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ziarko, W. (2006). Partition Dependencies in Hierarchies of Probabilistic Decision Tables. In: Wang, GY., Peters, J.F., Skowron, A., Yao, Y. (eds) Rough Sets and Knowledge Technology. RSKT 2006. Lecture Notes in Computer Science(), vol 4062. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11795131_7
Download citation
DOI: https://doi.org/10.1007/11795131_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-36297-5
Online ISBN: 978-3-540-36299-9
eBook Packages: Computer ScienceComputer Science (R0)