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Mining Frequent Gradual Itemsets from Large Databases

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Advances in Intelligent Data Analysis VIII (IDA 2009)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 5772))

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Abstract

Mining gradual rules plays a crucial role in many real world applications where huge volumes of complex numerical data must be handled, e.g., biological databases, survey databases, data streams or sensor readings. Gradual rules highlight complex order correlations of the form “The more/less X, then the more/less Y”. Such rules have been studied since the early 70’s, mostly in the fuzzy logic domain, where the main efforts have been focused on how to model and use such rules. However, mining gradual rules remains challenging because of the exponential combination space to explore. In this paper, we tackle the particular problem of handling huge volumes by proposing scalable methods. First, we formally define gradual association rules and we propose an original lattice-based approach. The GRITE algorithm is proposed for extracting gradual itemsets in an efficient manner. An experimental study on large-scale synthetic and real datasets is performed, showing the efficiency and interest of our approach.

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References

  1. Srikant, R., Agrawal, R.: Mining Quantitative Association Rules in Large Relational Tables. In: Proceedings of the 1996 ACM SIGMOD International Conference on Management of Data, pp. 1–12 (1996)

    Google Scholar 

  2. Hüllermeier, E.: Association rules for expressing gradual dependencies. In: Elomaa, T., Mannila, H., Toivonen, H. (eds.) PKDD 2002. LNCS (LNAI), vol. 2431, pp. 200–211. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  3. Berzal, F., Cubero, J.C., Sanchez, D., Vila, M.A., Serrano, J.M.: An alternative approach to discover gradual dependencies. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (IJUFKS) 15(5), 559–570 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  4. Dubois, D., Prade, H.: Gradual elements in a fuzzy set. Soft Comput. 12(2), 165–175 (2008)

    Article  MATH  Google Scholar 

  5. Galichet, S., Dubois, D., Prade, H.: Imprecise specification of ill-known functions using gradual rules. International Journal of Approximate Reasoning 35, 205–222 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  6. Dubois, D., Prade, H.: Gradual inference rules in approximate reasoning. Information Sciences 61(1-2), 103–122 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  7. Jones, H., Dubois, D., Guillaume, S., Charnomordic, B.: A practical inference method with several implicative gradual rules and a fuzzy input: one and two dimensions. In: Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007, IEEE International, pp. 1–6 (2007)

    Google Scholar 

  8. Bosc, P., Pivert, O., Ughetto, L.: On data summaries based on gradual rules. In: Proceedings of the 6th International Conference on Computational Intelligence, Theory and Applications, pp. 512–521. Springer, Heidelberg (1999)

    Google Scholar 

  9. Hüllermeier, E.: Implication-based fuzzy association rules. In: Siebes, A., De Raedt, L. (eds.) PKDD 2001. LNCS (LNAI), vol. 2168, pp. 241–252. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  10. Fiot, C., Masseglia, F., Laurent, A., Teisseire, M.: Gradual trends in fuzzy sequential patterns. In: 12th International Conference on Information Processing and Management of Uncertainty in Knowledge-based Systems (2008)

    Google Scholar 

  11. Agrawal, R., Srikant, R.: Fast Algorithms for Mining Association Rules. In: 20th International Conference on Very Large Data Bases (VLDB 1994), pp. 487–499 (1994)

    Google Scholar 

  12. Ayres, J., Flannick, J., Gehrke, J., Yiu, T.: Sequential pattern mining using a bitmap representation. In: KDD 2002: Proceedings of the eighth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 429–435. ACM, New York (2002)

    Google Scholar 

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Di-Jorio, L., Laurent, A., Teisseire, M. (2009). Mining Frequent Gradual Itemsets from Large Databases. In: Adams, N.M., Robardet, C., Siebes, A., Boulicaut, JF. (eds) Advances in Intelligent Data Analysis VIII. IDA 2009. Lecture Notes in Computer Science, vol 5772. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03915-7_26

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  • DOI: https://doi.org/10.1007/978-3-642-03915-7_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03914-0

  • Online ISBN: 978-3-642-03915-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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