Abstract
Mining association rules is an important problem in Knowledge Extraction (KE). This paper proposes an efficient method for mining simultaneously informative positive and negative association rules, using a new selective pair support-\(M_{GK}\). For this, we define four new bases of positive and negative association rules, based on Galois connection semantics. These bases are characterized by frequent closed itemsets, maximal frequent itemsets, and their generator itemsets; it consists of the non-redundant exact and approximate association rules having minimal premise and maximal conclusion, i.e. the informative association rules. We introduce Nonred algorithm allowing to generate these bases and all valid informative association rules. Results experiments carried out on reference datasets show the usefulness of this approach.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
Notes
- 1.
An association of the form \(X\rightarrow \overline{Y}\), \(\overline{X}\rightarrow Y\) and \(\overline{X}\rightarrow \overline{Y}\), where \(\overline{I}=\lnot I={\mathcal I}\backslash I\).
- 2.
- 3.
References
Agrawal, R., Srikant, R.: Fast algorithms for mining association rules. In: Proceedings of 20th VLDB Conference, Santiago Chile, pp. 487–499 (1994)
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
Bemarisika, P.: Extraction de règles d’association selon le couple support-\(M_{GK}\): Graphes implicatifs et Applications en didactique des mathématiques. Ph.D. thesis, Université d’Antananarivo (Madagasar) (2016)
Bemarisika, P., Ramanantsoa, H., Totohasina, A.: An efficient approach for extraction positive and negative association rules from big data. In: Proceedings of International Cross Domain Conference for Machine Learning & Knowledge Extraction (CD-MAKE 2018), pp. 79–97 (2018)
Durand, N., Quafafou, M.: Approximation of frequent itemset border by computing approximate minimal hypergraph transversals. In: Bellatreche, L., Mohania, M.K. (eds.) DaWaK 2014. LNCS, vol. 8646, pp. 357–368. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-10160-6_32
Diatta, J., Feno, D.R., Totohasina, A.: Galois lattices and bases for M\(_{GK}\)-valid association rules. In: Yahia, S.B., Nguifo, E.M., Belohlavek, R. (eds.) CLA 2006. LNCS (LNAI), vol. 4923, pp. 186–197. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-78921-5_12
Ganter, B., Wille, R.: Formal Concept Analysis. Springer, Heidelberg (1999). https://doi.org/10.1007/978-3-642-59830-2
Giacomo, K., Alexandre B.: Average size of implicational bases. In: Ignatov, D.I., Nourine, L. (eds.) CLA 2018, pp. 37–45 (2018)
Guigues, J.L., Duquenne, V.: Familles minimales d’implications informatives résultant d’un tableau de donnés binaires. Maths et Sci. Humaines 95, 5–18 (1986)
Guillaume, S.: Traitement des données volumineuses. Mesures et algorithmes d’extraction des règles d’association et règles ordinales. Ph.D. thesis, Universté de Nantes (France) (2000)
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
Latiri, C., Haddad, H., Hamrouni, T.: Towards an effective automatic query expansion process using an association rule mining approach. J. Intell. Inf. Syst. 39, 209–247 (2012). https://doi.org/10.1007/s10844-011-0189-9
Lerman, I.C.: Classification et analyse ordinale des données. Dunod (1981)
Mannila, H., Toivonen, H.: Levelwise search and borders of theories in knowledge discovery. Data Min. Knowl. Disc. 1, 241–258 (1997)
Pasquier, N.: Extraction de Bases pour les Règles d’Association à partir des Itemsets Fermés Fréquents. CNRS (2000)
Totohasina, A., Ralambondrainy, H.: ION, a pertinent new measure for mining information from many types of data. In: IEEE, SITIS, pp. 202–207 (2005)
Totohasina, A., Feno, D.R.: De la qualité de règles d’association: Etude comparative des mesures \(M_{GK}\) et Confiance. In: CARI (2008)
Wu, X., Zhang, C., Zhang, S.: Efficient mining of both positive and negative association rules. ACM Trans. Inf. Syst. 3, 381–405 (2004)
Zaki, M.J.: Mining non-redundant association rules. Data Min. Knowl. Disc. 9, 223–248 (2004). Proc. of KDDM
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 IFIP International Federation for Information Processing
About this paper
Cite this paper
Bemarisika, P., Totohasina, A. (2020). An Efficient Method for Mining Informative Association Rules in Knowledge Extraction. In: Holzinger, A., Kieseberg, P., Tjoa, A., Weippl, E. (eds) Machine Learning and Knowledge Extraction. CD-MAKE 2020. Lecture Notes in Computer Science(), vol 12279. Springer, Cham. https://doi.org/10.1007/978-3-030-57321-8_13
Download citation
DOI: https://doi.org/10.1007/978-3-030-57321-8_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-57320-1
Online ISBN: 978-3-030-57321-8
eBook Packages: Computer ScienceComputer Science (R0)