Skip to main content

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 249))

Abstract

Mining association rules is a well known framework for extracting useful knowledge from databases. They represent a very particular kind of relation, that of co-occurrence between two sets of items. Modifying the usual definition of such rules we may find different kinds of information in the data. Exception rules are examples of rules dealing with unusual knowledge that might be of interest for the user and there exists some approaches for extracting them which employ a set of special association rules.

The goal of this paper is manyfold. First, we provide a deep analysis of the presented previous approaches. We study their advantages, drawbacks and their semantical aspects. Second, we present a new approach using the certainty factor for measuring the strength of exception rules. We also offer a unified formulation for exception rules through the GUHA formal model first presented in the middle sixties by Hájek et al. Third, we define the so called double rules as a new type of rules which in conjunction with exception rules will describe in more detail the relationship between two sets of items. Fourth, we provide an algorithm based on the previous formulation for mining exception and double rules with reasonably good performance and some interesting results.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Agrawal, R., Manilla, H., Sukent, R., Toivonen, A., Verkamo, A.: Fast discovery of Association rules, pp. 307–328. AAA Press (1996)

    Google Scholar 

  2. Berzal, F., Cubero, J., Marín, N., Gámez, M.: Anomalous association rules. In: IEEE Int. Conf. on Data Mining (2004)

    Google Scholar 

  3. Berzal, F., Delgado, M., Sánchez, D., Vila, M.: Measuring accuracy and interest of association rules: A new framework. Intelligent Data Analysis 6(3), 221–235 (2002)

    MATH  Google Scholar 

  4. Brachman, R., Levesque, H.: Knowledge Representation and Reasoning. Elsevier, Morgan Kaufmann publishers (2004)

    Google Scholar 

  5. Brewka, G.: Nonmonotonic Reasoning: Logical Foundations of Commonsense. University Press, Cambridge (1991)

    MATH  Google Scholar 

  6. Delgado, M., Marín, N., Sánchez, D., Vila, M.: Fuzzy association rules: General model and applications. IEEE Transactions on Fuzzy Systems 11(2), 214–225 (2003)

    Article  Google Scholar 

  7. Delgado, M., Ruiz, M., Sánchez, D.: A logic approach for exceptions and anomalies in association rules. Mathware & Soft Computing 15(3), 285–295 (2008)

    MATH  MathSciNet  Google Scholar 

  8. Delgado, M., Ruiz, M., Sánchez, D.: Studying interest measures for association rules through a logical model. Int. Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (2007) (submitted)

    Google Scholar 

  9. Duval, B., Salleb, A., Vrain, C.: On the discovery of exception rules: A survey. Studies in Computational Intelligence 43, 77–98 (2007)

    Article  Google Scholar 

  10. Hájek, P., Havel, I., Chytil, M.: The guha method of automatic hypotheses determination. Computing 1, 293–308 (1966)

    Article  MATH  Google Scholar 

  11. Hájek, P., Havránek, T.: Mechanising Hypothesis Formation-Mathematical Foundations for a General Theory. Springer, Heidelberg (1978)

    Google Scholar 

  12. Havránek, T.: Statistical quantifiers in observational calculi: An application in guha-methods. Theory and Decision 6, 213–230 (1974)

    Google Scholar 

  13. Holeňa, M.: Fuzzy hypotheses for guha implications. Fuzzy Sets and Systems 98, 101–125 (1998)

    Article  Google Scholar 

  14. Hussain, F., Liu, H., Suzuki, E., Lu, H.: Exception rule mining with a relative interestingness measure. In: Terano, T., Chen, A.L.P. (eds.) PAKDD 2000. LNCS, vol. 1805, pp. 86–97. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  15. Louie, E., Lin, T.: Finding association rules using fast bit computation: Machine-oriented modeling. In: Ohsuga, S., Raś, Z.W. (eds.) ISMIS 2000. LNCS (LNAI), vol. 1932, pp. 486–494. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  16. Ohshima, M., Zhong, N., Yao, Y., Liu, C.: Relational peculiarity-oriented mining. Data Mining and Knowledge Discovery 15(2), 249–273 (2007)

    Article  MathSciNet  Google Scholar 

  17. Rauch, J.: Logic of association rules. Applied Intelligence 22, 9–28 (2005)

    Article  MATH  Google Scholar 

  18. Rauch, J., Šimunek, M.: Mining for 4ft association rules. In: Morishita, S., Arikawa, S. (eds.) DS 2000. LNCS (LNAI), vol. 1967, pp. 268–272. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  19. Rauch, J., Šimunek, M.: An alternative approach to mining association rules. Studies in Computational Intelligence 6, 211–231 (2005)

    Google Scholar 

  20. Shortliffe, E., Buchanan, B.: A model of inexact reasoning in medicine. Mathematical Biosciences 23, 351–379 (1975)

    Article  MathSciNet  Google Scholar 

  21. Suzuki, E.: Discovering unexpected exceptions: A stochastic approach. In: Proceedings of the fourth international workshop on RSFD, pp. 225–232 (1996)

    Google Scholar 

  22. Suzuki, E.: Undirected discovery of interesting exception rules. Int. Jour. of Pattern Recognition and Artificial Intelligence 16(8), 1065–1086 (2002)

    Article  Google Scholar 

  23. Suzuki, E., Shimura, M.: Exceptional knowledge discovery in databases based on information theory. In: Proc. of the 2nd Int. Conf. on Knowledge Discovery and Data Mining, pp. 275–278 (1996)

    Google Scholar 

  24. Suzuki, E., Zytkow, J.: Unified algorithm for undirected discovery of exception rules. Int. Jour. of Intelligent Systems 20, 673–691 (2005)

    Article  MATH  Google Scholar 

  25. Zhong, N., Ohshima, M., Ohsuga, S.: Peculiarity oriented mining and its application for knowledge discovery in amino-acid data. In: Cheung, D., Williams, G.J., Li, Q. (eds.) PAKDD 2001. LNCS (LNAI), vol. 2035, pp. 260–269. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Delgado, M., Ruiz, M.D., Sánchez, D. (2010). Mining Exception Rules. In: Bouchon-Meunier, B., Magdalena, L., Ojeda-Aciego, M., Verdegay, JL., Yager, R.R. (eds) Foundations of Reasoning under Uncertainty. Studies in Fuzziness and Soft Computing, vol 249. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10728-3_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-10728-3_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10726-9

  • Online ISBN: 978-3-642-10728-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics