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An Experimental Comparison of Three Probabilistic Approximations Used for Rule Induction

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Języki publikacji
EN
Abstrakty
EN
In this paper we present results of experiments on 166 incomplete data sets using three probabilistic approximations: lower, middle, and upper. Two interpretations of missing attribute values were used: lost and “do not care” conditions. Our main objective was to select the best combination of an approximation and a missing attribute interpretation. We conclude that the best approach depends on the data set. The additional objective of our research was to study the average number of distinct probabilities associated with characteristic sets for all concepts of the data set. This number is much larger for data sets with “do not care” conditions than with data sets with lost values. Therefore, for data sets with “do not care” conditions the number of probabilistic approximations is also larger.
Wydawca
Rocznik
Strony
177--191
Opis fizyczny
Bibliogr. 20 poz., tab., wykr.
Twórcy
autor
  • Department of Electrical Engineering and Computer Science, University of Kansas, Lawrence, KS 66045, USA.
  • Department of Electrical Engineering and Computer Science, University of Kansas, Lawrence, KS 66045, USA
  • Institute of Computer Science, Polish Academy of Sciences, 01-237 Warsaw, Poland
Bibliografia
  • [1] Clark, P. G., Grzymala-Busse, J. W.: Experiments on probabilistic approximations, Proceedings of the 2011 IEEE International Conference on Granular Computing, 2011.
  • [2] Clark, P. G., Grzymala-Busse, J. W.: Experiments on rule induction from incomplete data using three probabilistic approximations, Proceedings of the 2012 IEEE International Conference on Granular Computing, 2012.
  • [3] Clark, P. G., Grzymala-Busse, J. W.: Experiments using three probabilistic approximations for rule induction from incomplete data sets, Proceeedings of the MCCSIS 2012, IADIS European Conference on Data Mining ECDM 2012, 2012.
  • [4] Grzymala-Busse, J. W.: On the unknown attribute values in learning from examples, Proceedings of the ISMIS-91, 6th International Symposium on Methodologies for Intelligent Systems, 1991.
  • [5] Grzymala-Busse, J. W.: LERS—A system for learning from examples based on rough sets, in: Intelligent Decision Support. Handbook of Applications and Advances of the Rough Set Theory (R. Slowinski, Ed.), Kluwer Academic Publishers, Dordrecht, Boston, London, 1992, 3-18.
  • [6] Grzymala-Busse, J. W.: MLEM2: A new algorithm for rule induction from imperfect data, Proceedings of the 9th International Conference on Information Processing and Management of Uncertainty in Knowledge- Based Systems, 2002.
  • [7] Grzymala-Busse, J. W.: Rough set strategies to data with missing attribute values, Workshop Notes, Foundations and New Directions of Data Mining, in conjunction with the 3-rd International Conference on Data Mining, 2003.
  • [8] Grzymala-Busse, J. W.: Generalized parameterized approximations, Proceedings of the RSKT 2011, the 6-th International Conference on Rough Sets and Knowledge Technology, 2011.
  • [9] Grzymala-Busse, J. W., Rzasa, W.: Definability and other properties of approximations for generalized in- discernibility relations, Transactions on Rough Sets, 11, 2010, 14-39.
  • [10] Grzymala-Busse, J. W., Wang, A. Y.: Modified algorithms LEM1 and LEM2 for rule induction from data with missing attribute values, Proceedings of the Fifth International Workshop on Rough Sets and Soft Computing (RSSC’97) at the Third Joint Conference on Information Sciences (JCIS’97), 1997.
  • [11] Kryszkiewicz, M.: Rules in incomplete information systems, Information Sciences, 113(3-4), 1999, 271292.
  • [12] Lin, T. Y.: Neighborhood systems and approximation in database and knowledge base systems, Proceedings of the ISMIS-89, the Fourth International Symposium on Methodologies of Intelligent Systems, 1989.
  • [13] Pawlak, Z.: Rough sets, International Journal of Computer and Information Sciences, 11, 1982, 341-356.
  • [14] Pawlak, Z., Skowron, A.: Rough sets: Some extensions, Information Sciences, 177, 2007, 28-40.
  • [15] Pawlak, Z., Wong, S. K. M., Ziarko, W.: Rough sets: probabilistic versus deterministic approach, International Journal of Man-Machine Studies, 29, 1988, 81-95.
  • [16] Stefanowski, J., Tsoukias, A.: Incomplete information tables and rough classification, Computational Intelligence, 17(3), 2001, 545-566.
  • [17] Wong, S. K. M., Ziarko, W.: INFER-An adaptive decision support system based on the probabilistic approximate classification, Proceedings of the 6-th International Workshop on Expert Systems and their Applications, 1986.
  • [18] Yao, Y. Y.: Relational interpretations of neighborhood operators and rough set approximation operators, Information Sciences, 111, 1998, 239-259.
  • [19] Yao, Y. Y.: Probabilistic rough set approximations, International Journal of Approximate Reasoning, 49, 2008,255-271.
  • [20] Ziarko, W.: Variable precision rough set model, Journal of Computer and System Sciences, 46(1), 1993, 39-59.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-8699b7b8-f76f-4103-9952-0a4a292f9ac0
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