Abstract
Association rules in data mining are considered from a point of view of conditional logic and rough sets. In our previous work, given an association rule in some fixed database, its corresponding Kripke model was formulated. Then, two difficulties in the formulation were pointed out: limitation of the form of association rules and limited formulation of the models themselves. To resolve the defects, Chellas’s conditional logic was introduced and thereby, the class of conditionals in conditional logic can be naturally regarded as containing the original association rules. In this paper, further, an extension of conditional logic is introduced for dealing with association rules with intermediate values of confidence based on the idea of fuzzy-measure-based graded modal logic.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Agrawal, R., Imielinski, T., Swami, A. (1993): Mining Association Rules between Sets of Items in Large Databases. Proc. ACM SIGMOD Conf. on Management of Data, 207–216
Agrawal, R., Mannila, H., Srikant, R., Toivonen, H., Verkamo, A.I. (1996): Fast Discovery of Association Rules. Advances in Knowledge Discovery and Data Mining, ed. U.M. Fayyad, G. Platetsky-Shapiro, P. Smyth, and R. Uthurusamy, AAAI Press/The MIT Press, 307–328
Aggarwal, C.C., Philip, S.Y. (1998): Online Generation of Association Rules. Proc. Int. Conf. on Data Engineering, 402–411
Chellas, B.F. (1980): Modal Logic: An Introduction. Cambridge Univ. Press, Cambridge
Lin, T.Y. (1998): Granular Computing on Binary Relation, I Data Mining and Neighborhood Systems, II Rough Set Representations and Belief Functions. L. Polkowski and A. Skowron (eds.), Rough Sets in Knowledge Discovery 1: Methodology and Applications, Physica-Verlag, Heidelberg, 107–121, 122-140
Murai, T., Miyakoshi, M., Shimbo, M. (1993): Measure-Based Semantics for Modal Logic. R. Lowen, M. Roubens (eds.), Fuzzy Logic: State of the Art, Kluwer, Dordrecht, 395–405
Murai, T., Miyakoshi, M., Shimbo, M. (1994): Soundness and Completeness Theorems between the Dempster-Shafer Theory and Logic of Belief. Proc. 3rd FUZZ-IEEE (WCCI), 855–858.
Murai, T., Miyakoshi, M., Shimbo, M. (1995) A Logical Foundation of Graded Modal Operators Defined by Fuzzy Measures. Proc. 4th FUZZ-IEEE/2nd IFES, 151–156.
Murai, T., Sato, Y. (2000): Association Rules from a Point of View of Modal Logic and Rough Sets. Proc. 4th AFSS, 427–432.
Pawlak, Z. (1991): Rough Sets: Theoretical Aspects of Reasoning about Data, Kluwer, Dordrecht
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Murai, T., Nakata, M., Sato, Y. (2001). A Note on Conditional Logic and Association Rules. In: Terano, T., Ohsawa, Y., Nishida, T., Namatame, A., Tsumoto, S., Washio, T. (eds) New Frontiers in Artificial Intelligence. JSAI 2001. Lecture Notes in Computer Science(), vol 2253. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45548-5_52
Download citation
DOI: https://doi.org/10.1007/3-540-45548-5_52
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43070-4
Online ISBN: 978-3-540-45548-6
eBook Packages: Springer Book Archive