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Algorithm for Finding Zero Factor Free Rules

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Man–Machine Interactions 4

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 391))

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Abstract

Class detection rules are mostly used for classifying new objects. Another possible usage is to describe a set of objects (a class) by the rules. Determinacy Analysis (DA) is a knowledge mining method with such purpose. Sets of rules are used to answer the questions “Who are they (objects of the class)?”, “How can we describe them?”. Rules found by different DA methods tend to contain some redundant information called zero factors. In this paper we show how zero factors are related to closed sets and minimal generators. We propose a new algorithm that extracts zero-factor-free rules and zero factors themselves, based on finding generators. Knowing zero factors gives to the analyst important additional knowledge for understanding the essence of the described set of objects (a class).

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References

  1. Bastide, Y., Pasquier, N., Taouil, R., Stumme, G., Lakhal, L.: Mining minimal non-redundant association rules using frequent closed itemsets. In: Lloyd, J., Dahl, V., Furbach, U., Kerber, M., Lau, K.K., Palamidessi, C., Pereira, L., Sagiv, Y., Stuckey, P. (eds.) Computational Logic—CL 2000, LNCS, vol. 1861, pp. 972–986. Springer, Berlin (2000)

    Google Scholar 

  2. Bastide, Y., Taouil, R., Pasquier, N., Stumme, G., Lakhal, L.: Mining frequent patterns with counting inference. SIGKDD Explor. Newsl. 2(2), 66–75 (2000)

    Article  Google Scholar 

  3. Chesnokov, S.: Determination-analysis of social-economic data in dialogical regime (Preprint). All-Union Institute for Systems Research, Moscow (1980)

    Google Scholar 

  4. Chesnokov, S.: Determinacy analysis of social-economic data. Nauka, Moscow, Russia (1982)

    Google Scholar 

  5. Chesnokov, S.: Determinacy analysis of socio-economic data. Illustrative materials to lectures. Lecture 2: Rules. Lecture 3: Systems of rules (2002), lomonosov Moscow State University, Faculty of Economics, Moscow, unpublished (in Russian)

    Google Scholar 

  6. Jõgiste, L.: Prototyping of Zero-factor based DA. Master’s thesis, Tallinn University of Technology (2014)

    Google Scholar 

  7. Lind, G., Kuusik, R.: New developments for determinacy analysis: diclique-based approach. WSEAS Trans. Inf. Sci. Appl. 5(10), 1458–1469 (2008)

    Google Scholar 

  8. Lind, G., Kuusik, R.: Some problems in determinacy analysis approaches development. In: DMIN 2008, pp. 102–108. Las Vegas, Nevada (2008)

    Google Scholar 

  9. Pasquier, N., Bastide, Y., Taouil, R., Lakhal, L.: Pruning closed itemset lattices for association rules. In: BDA 1998, pp. 177–196. Hammamet, Tunisie (1998)

    Google Scholar 

  10. Quinlan, J.R.: Learning efficient classification procedures and their application to chess end games. In: Michalski, R., Carbonell, J., Mitchell, T. (eds.) Machine learning. An Artificial Intelligence Approach, pp. 463–482. Springer, Berlin (1984)

    Google Scholar 

  11. Quinlan, J.R.: Induction of decision trees. Mach. Learn. 1(1), 81–106 (1986)

    Google Scholar 

  12. UCI: Machine Learning Repository. http://archive.ics.uci.edu/ml/datasets/Nursery

  13. Zaki, M.J., Hsiao, C.J.: CHARM: an efficient algorithm for closed itemset mining. SIAM 2002, 457–473 (2002)

    Google Scholar 

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Correspondence to Grete Lind .

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Lind, G., Kuusik, R. (2016). Algorithm for Finding Zero Factor Free Rules. In: Gruca, A., Brachman, A., Kozielski, S., Czachórski, T. (eds) Man–Machine Interactions 4. Advances in Intelligent Systems and Computing, vol 391. Springer, Cham. https://doi.org/10.1007/978-3-319-23437-3_36

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  • DOI: https://doi.org/10.1007/978-3-319-23437-3_36

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23436-6

  • Online ISBN: 978-3-319-23437-3

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