Abstract
Originally, strong association rules were defined as those that have sufficiently high values of two parameters: support and confidence. However, it has been shown in the literature that in general neither of these two measures is capable of determining (in)dependence between rules’ constituents correctly. Thus, usage of other measures for rule evaluation is also under research. In this paper, we formulate a generic notion of a canonical measure and show important examples of canonical measures. For association rules satisfying any set of criteria based on canonical measures, we offer their concise lossless representation in the form of so called representative rule templates. Also, we derive a number of properties of this representation.
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References
Agrawal, R., Imielinski, T., Swami, A.N.: Mining association rules between sets of items in large databases. In: ACM SIGMOD International Conference on Management of Data, pp. 207–216 (1993)
Bastide, Y., Pasquier, N., Taouil, R., Stumme, G., Lakhal, L.: Mining minimal non-redundant association rules using frequent closed itemsets. In: Lloyd, J., et al. (eds.) CL 2000. LNCS (LNAI), vol. 1861, pp. 972–986. Springer, Heidelberg (2000). https://doi.org/10.1007/3-540-44957-4_65
Brin, S., Motwani, R., Ullman, J.D., Tsur, S.: Dynamic itemset counting and implication rules for market basket data. In: ACM SIGMOD 1997 International Conference on Management of Data, pp. 255–264 (1997)
Hamrouni, T., Yahia, S.B., Nguifo, E.M.: Succinct minimal generators: theoretical foundations and applications. Int. J. Found. Comput. Sci. 19(2), 271–296 (2008)
Hilderman, R.J., Hamilton, H.J.: Evaluation of interestingness measures for ranking discovered knowledge. In: Cheung, D., Williams, G.J., Li, Q. (eds.) PAKDD 2001. LNCS (LNAI), vol. 2035, pp. 247–259. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-45357-1_28
Kryszkiewicz, M.: Closed set based discovery of representative association rules. In: Hoffmann, F., Hand, D.J., Adams, N., Fisher, D., Guimaraes, G. (eds.) IDA 2001. LNCS, vol. 2189, pp. 350–359. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-44816-0_35
Kryszkiewicz, M.: Concise representations of frequent patterns and association rules. Prace Naukowe Politechniki Warszawskiej. Elektronika 142, 5–207 (2002)
Kryszkiewicz, M.: Concise representations of association rules. In: Hand, D.J., Adams, N.M., Bolton, R.J. (eds.) Pattern Detection and Discovery. LNCS (LNAI), vol. 2447, pp. 92–109. Springer, Heidelberg (2002). https://doi.org/10.1007/3-540-45728-3_8
Kryszkiewicz, M.: Dependence factor for association rules. In: Nguyen, N.T., Trawiński, B., Kosala, R. (eds.) ACIIDS 2015. LNCS (LNAI), vol. 9012, pp. 135–145. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-15705-4_14
Kryszkiewicz, M.: Dependence factor as a rule evaluation measure. In: Matwin, S., Mielniczuk, J. (eds.) Challenges in Computational Statistics and Data Mining. SCI, vol. 605, pp. 205–223. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-18781-5_12
Kryszkiewicz, M.: A lossless representation for association rules satisfying multiple evaluation criteria. In: Nguyen, N.T., Trawiński, B., Fujita, H., Hong, T.-P. (eds.) ACIIDS 2016. LNCS (LNAI), vol. 9622, pp. 147–158. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-49390-8_14
Kryszkiewicz, M.: ACBC-adequate association and decision rules versus key generators and rough sets approximations. Fundam. Inform. 148(1–2), 65–85 (2016)
Lavrač, N., Flach, P., Zupan, B.: Rule evaluation measures: a unifying view. In: Džeroski, S., Flach, P. (eds.) ILP 1999. LNCS (LNAI), vol. 1634, pp. 174–185. Springer, Heidelberg (1999). https://doi.org/10.1007/3-540-48751-4_17
Lenca, P., Meyer, P., Vaillant, B., Lallich, S.: On selecting interestingness measures for association rules: user oriented description and multiple criteria decision aid. Eur. J. Oper. Res. 184, 610–626 (2008). Elsevier
Piatetsky-Shapiro, G.: Discovery, analysis, and presentation of strong rules. In: Knowledge Discovery in Databases, pp. 229–248, AAAI/MIT Press (1991)
Sheikh, L.M., Tanveer, B., Hamdani, S.M.A.: Interesting measures for mining association rules. In: Proceedings of INMIC 2004. IEEE (2004)
Shortliffe, E., Buchanan, B.: A model of inexact reasoning in medicine. Math. Biosci. 23, 351–379 (1975)
Suzuki, E.: Interestingness measures - limits, desiderata, and recent results. In: Lenca, P., Lallich, S. (eds.) QIMIE/PAKDD 2009 (2009)
Stumme, G., Taouil, R., Bastide, Y., Pasquier, N., Lakhal, L.: Intelligent structuring and reducing of association rules with formal concept analysis. In: Baader, F., Brewka, G., Eiter, T. (eds.) KI 2001. LNCS (LNAI), vol. 2174, pp. 335–350. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-45422-5_24
Zaki, M.J.: Generating non-redundant association rules. In: 6th ACM SIGKDD (2000)
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Kryszkiewicz, M. (2018). Representative Rule Templates for Association Rules Satisfying Multiple Canonical Evaluation Criteria. In: Nguyen, N., Hoang, D., Hong, TP., Pham, H., Trawiński, B. (eds) Intelligent Information and Database Systems. ACIIDS 2018. Lecture Notes in Computer Science(), vol 10751. Springer, Cham. https://doi.org/10.1007/978-3-319-75417-8_52
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