Skip to main content

Mining Both Positive and Negative Association Rules from Frequent and Infrequent Itemsets

  • Conference paper
Advanced Data Mining and Applications (ADMA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4632))

Included in the following conference series:

Abstract

A lot of new problems may occur when we simultaneously study positive and negative association rules (PNARs), i.e., the forms AB, A⇒¬B, ¬AB and ¬A⇒¬B. These problems include how to discover infrequent itemsets, how to generate PNARs correctly, how to solve the problem caused by a single minimum support and so on. Infrequent itemsets become very important because there are many valued negative association rules (NARs) in them. In our previous work, a MLMS model was proposed to discover simultaneously both frequent and infrequent itemsets by using multiple level minimum supports (MLMS) model. In this paper, a new measure VARCC which combines correlation coefficient and minimum confidence is proposed and a corresponding algorithm PNAR_MLMS is also proposed to generate PNARs correctly from the frequent and infrequent itemsets discovered by the MLMS model. The experimental results show that the measure and the algorithm are effective.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight 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., Imielinski, T., Swami, A.: Mining Association Rules between Sets of Items in Large Database. In: Proceedings of the 1993 ACM SIGMOD International Conference on Management of Data, pp. 207–216. ACM Press, New York (1993)

    Chapter  Google Scholar 

  2. Brin, S., Motwani, R., Silverstein, C.: Beyond Market: Generalizing Association Rules to Correlations. In: Processing of the ACM SIGMOD Conference, pp. 265–276. ACM Press, New York (1997)

    Google Scholar 

  3. Savasere, A., Omiecinski, E., Navathe, S.: Mining for Strong Negative Associations in a Large Database of Customer Transaction. In: Proceedings of the 1998 International Conference on Data Engineering, pp. 494–502 (1998)

    Google Scholar 

  4. Zhang, C., Zhang, S.: Association Rule Mining. LNCS (LNAI), vol. 2307. Springer, Heidelberg (2002)

    MATH  Google Scholar 

  5. Wu, X., Zhang, C., Zhang, S.: Mining both Positive and Negative Association Rules. In: Proceedings of the 19th International Conference on Machine Learning, pp. 658–665 (2002)

    Google Scholar 

  6. Wu, X., Zhang, C., Zhang, S.: Efficient Mining of Both Positive and Negative Association Rules. ACM Transactions on Information Systems 22, 381–405 (2004)

    Article  Google Scholar 

  7. Yuan, X., Buckles, B.P., Yuan, Z., Zhang, J.: Mining Negative Association Rules. In: Proceedings of The Seventh IEEE Symposium on Computers and Communications, pp. 623–629. IEEE Computer Society Press, Los Alamitos (2002)

    Google Scholar 

  8. Antonie, M.-L., Zaiane, O.: Mining Positive and Negative Association Rules: An Approach for Confined Rules. In: Boulicaut, J.-F., Esposito, F., Giannotti, F., Pedreschi, D. (eds.) PKDD 2004. LNCS (LNAI), vol. 3202, pp. 27–38. Springer, Heidelberg (2004)

    Google Scholar 

  9. Dong, X., Sun, F., Han, X., Hou, R.: Study of Positive and Negative Association Rules Based on Multi-confidence and Chi-Squared Test. In: Li, X., Zaïane, O.R., Li, Z. (eds.) ADMA 2006. LNCS (LNAI), vol. 4093, pp. 100–109. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  10. Sharma, L.K., Vyas, O.P., Tiwary, U.S., Vyas, R.: A Novel Approach of Multilevel Positive and Negative Association Rule Mining for Spatial Databases. In: Perner, P., Imiya, A. (eds.) MLDM 2005. LNCS (LNAI), vol. 3587, pp. 620–629. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  11. Gan, M., Zhang, M., Wang, S.: One Extended Form for Negative Association Rules and the Corresponding Mining Algorithm. In: Yeung, D.S., Liu, Z.-Q., Wang, X.-Z., Yan, H. (eds.) ICMLC 2005. LNCS (LNAI), vol. 3930, pp. 1716–1721. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  12. De Cock, M., Cornelis, C., Kerre, E.E.: Elicitation of Fuzzy Association Rules from Positive and Negative Examples. Fuzzy Sets and Systems. Fuzzy Sets in Knowledge Discovery, vol. 149(1), pp. 73–85. Elsevier, Amsterdam (2005)

    Google Scholar 

  13. Dong, X., Zheng, Z., Niu, Z., Jia, Q.: Mining Infrequent Itemsets based on Multiple Level Minimum Supports. In: ICICIC 2007. Proceedings of the Second International Conference on Innovative Computing, Information and Control, Kumamoto, Japan, September 2007 (to appear, 2007)

    Google Scholar 

  14. Liu, B., Hsu, W., Ma, Y.: Mining Association Rules with Multiple Minimum Supports. In: KDD 1999. Proceedings of the ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, San Diego, CA, August 15-18, 1999, pp. 337–341. ACM Press, New York (1999)

    Google Scholar 

  15. Cohen, J.: Statistical Power Analysis for the Behavioral Sciences, 2nd edn. Lawrence Erlbaum, New Jersey (1988)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Dong, X., Niu, Z., Shi, X., Zhang, X., Zhu, D. (2007). Mining Both Positive and Negative Association Rules from Frequent and Infrequent Itemsets. In: Alhajj, R., Gao, H., Li, J., Li, X., Zaïane, O.R. (eds) Advanced Data Mining and Applications. ADMA 2007. Lecture Notes in Computer Science(), vol 4632. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73871-8_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-73871-8_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73870-1

  • Online ISBN: 978-3-540-73871-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics