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Analysis of monotonicity properties of some rule interestingness measures

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EN
Abstrakty
EN
One of the crucial problems in the field of knowledge discovery is development of good interestingness measures for evaluation of the discovered patterns. In this paper, we consider quantitative, objective interestingness measures for "if..., then... " association rules. We focus on three popular interestingness measures, namely rule interest function of Piatetsky-Shapiro, gain measure of Fukuda et al., and dependency factor used by Pawlak. We verify whether they satisfy the valuable property M of monotonic dependency on the number of objects satisfying or not the premise or the conclusion of a rule, and property of hypothesis symmetry (HS). Moreover, analytically and through experiments we show an interesting relationship between those measures and two other commonly used measures of rule support and anti-support.
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Strony
9--25
Opis fizyczny
Bibliogr. 25 poz., wykr.
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autor
autor
Bibliografia
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  • BRZEZIŃSKA. I., GRECO, S. and SŁOWIŃSKI, R. (2007) Mining Pareto-optimal rules with respect to support and anti-support. Engineering Applications of Artificial Intelligence, 20 (5), 587-600.
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  • EELLS, E and FITELSON, B. (2002) Symmetries and assymmetries in evidential support. Philosophical Studies, 107 (2), 129-142.
  • FITELSON, B. (2001) Studies in Bayesian confirmation theory. Ph.D. Thesis, University of Wisconsin, Madison.
  • FUKUDA, T., MORIMOTO, Y., MORISHITA, S. and TOKUYAMA, T. (1996) Data Mining using Two-Dimensional Optimized Association Rules: Schemes, Algorithms, and Visualization. Proceedings of the 1996 ACM SIGMOD Int’l Conference on Management of Data. Montreal, Canada. ACM Press, New York, 13-23.
  • GRECO, S., PAWLAK, Z. and SŁOWIŃSKI, R. (2004) Can Bayesian confirmation measures be useful for rough set decision rules? Engineering Applications of Artificial Intelligence 17, 345-361.
  • HEMPEL, C.G. (1945) Studies in the logic of confirmation (I). Mind 54, 1-26.
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  • MORZY, T. and ZAKRZEWICZ, M. (2003) Data mining. In: J. Błażewicz, W. Kubiak, T. Morzy, M.E. Rusinkiewicz, eds., Handbook on Data Management in Information Systems. Springer-Verlag, 487-565.
  • PAWLAK, Z. (2004) Some issues on Rough Sets. Transactions on Rough Sets I. LNCS 3100, 1-58.
  • PIATETSKY-SHAPIRO, G. (1991) Discovery, analysis and presentation of strong rules. Knowledge Discovery in Databases. AAAI/MIT Press, 2, 29-248.
  • POPPER, K.R. (1959) The Logic of Scientific Discovery. Hutchinson, London.
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  • SŁOWIŃSKI, R., BRZEZIŃSKA, I. and GRECO, S. (2006) Application of Bayesian confirmation measures for mining rules from support-confidence Pareto-optimal set. Invited paper in: L. Rutkowski, R. Tadeusiewicz, L.A. Zadeh, J. Żurada, eds., Artificial Intelligence and Soft Computing. LNAI 4029, Springer-Verlag, Berlin, 1018-1026.
  • SŁOWIŃSKI, R., SZCZĘCH, I., URBANOWICZ, M. and GRECO, S. (2007) Mining association rules with respect to support and anti-support - experimental results. In: M. Kryszkiewicz, J.F. Peters, H. Rybiński, A. Skowron, eds., Rough Sets and Intelligent Systems Paradigms. LNAI 4585, Springer-Verlag, Berlin, 534-542.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0036-0023
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