Skip to main content

Global Quality Measures for Fuzzy Association Rule Bases

  • Conference paper
  • First Online:
Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Abstract

Association rules and fuzzy association rules are vastly studied topics. Various measures for quantifying a quality of a (fuzzy) association rule were proposed in the past. In this article, we survey existing and propose some new quality measures for the whole rule bases of fuzzy association rules.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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

References

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

    Book  MATH  Google Scholar 

  2. Hájek, P., Holeňa, M., Rauch, J.: The guha method and its meaning for data mining. J. Comput. Syst. Sci. 76(1), 34–48 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  3. Rauch, J.: Observational Calculi and Association Rules, vol. 469. Springer, Heidelberg (2012)

    MATH  Google Scholar 

  4. Agrawal, R., Imieliński, T., Swami, A.: Mining association rules between sets of items in large databases. In: Proceedings of the 1993 ACM SIGMOD International Conference on Management of Data, pp. 207–216 (1993)

    Google Scholar 

  5. Ralbovský, M.: Fuzzy GUHA. Ph.D. thesis, University of Economics, Prague (2009)

    Google Scholar 

  6. Yager, R.R.: A new approach to the summarization of data. Inf. Sci. 28(1), 69–86 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  7. Kacprzyk, J., Yager, R.R., Zadrożny, S.: A fuzzy logic based approach to linguistic summaries of databases. Int. J. Appl. Math. Comput. Sci. 10(4), 813–834 (2000)

    MATH  Google Scholar 

  8. Wilbik, A., Keller, J.M.: A distance metric for a space of linguistic summaries. Fuzzy Sets Syst. 208, 79–94 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  9. Holeňa, M.: Measures of ruleset quality for general rules extraction methods. Int. J. Approximate Reasoning 50(6), 867–879 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  10. Gacto, M.J., Alcalá, R., Herrera, F.: Interpretability of linguistic fuzzy rule-based systems: an overview of interpretability measures. Inf. Sci. 181(20), 4340–4360 (2011)

    Article  Google Scholar 

  11. Agrawal, R., Srikant, R.: Fast algorithms for mining association rules in large databases. In: Proceedings of the 20th International Conference on Very Large Data Bases, VLDB 1994, pp. 487–499. Morgan Kaufmann Publishers Inc., San Francisco (1994)

    Google Scholar 

  12. Geng, L., Hamilton, H.J.: Interestingness measures for data mining: a survey. ACM Comput. Surv. (CSUR) 38(3), 9 (2006)

    Article  Google Scholar 

  13. Burda, M.: Lift Measure for Fuzzy Association Rules, pp. 249–260. Springer International Publishing, Cham (2015)

    MATH  Google Scholar 

  14. Burda, M.: Interest measures for fuzzy association rules based on expectations of independence. Adv. Fuzzy Syst. 2014, 2 (2014)

    MathSciNet  Google Scholar 

  15. Han, J.: Data Mining: Concepts and Techniques. Morgan Kaufmann Publishers Inc., San Francisco (2005)

    Google Scholar 

  16. Li, H., Dick, S.: A similarity measure for fuzzy rulebases based on linguistic gradients. Inf. Sci. 176(20), 2960–2987 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  17. Burda, M., Štěpnička, M.: Reduction of fuzzy rule bases driven by the coverage of training data. In: Proceedings of the 16th World Congress of the International Fuzzy Systems Association and 9th Conference of the European Society for Fuzzy Logic and Technology, IFSA-EUSFLAT (2015)

    Google Scholar 

  18. Rusnok, P.: Probabilistic coverage of linguistic if-then rules. In: IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), pp. 798–803. IEEE (2016)

    Google Scholar 

Download references

Acknowledgment

This work was supported by the NPU II project LQ1602 IT4Innovations excellence in science.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pavel Rusnok .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Cite this paper

Rusnok, P., Burda, M. (2018). Global Quality Measures for Fuzzy Association Rule Bases. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 643. Springer, Cham. https://doi.org/10.1007/978-3-319-66827-7_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-66827-7_24

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66826-0

  • Online ISBN: 978-3-319-66827-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics