Abstract
Problems of using elements of rough sets theory and rule induction to create efficient classifiers are discussed. In the last decade many researches attempted to increase a classification accuracy by combining several classifiers into integrated systems. The main aim of this paper is to summarize the author’s own experience with applying one of his rule induction algorithm, called MODLEM, in the framework of different combined classifiers, namely, the bagging, n 2–classifier and the combiner aggregation. We also discuss how rough approximations are applied in rule induction. The results of carried out experiments have shown that the MODLEM algorithm can be efficiently used within the framework of considered combined classifiers.
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References
Bazan, J.: A comparison of dynamic and non-dynamic rough set methods for extracting laws from decision tables. In: Polkowski, L., Skowron, A. (eds.) Rough Sets in Data Mining and Knowledge Discovery, vol. 1, pp. 321–365. Physica-Verlag, Heidelberg (1998)
Bazan, J., Nguyen, H.S., Skowron, A.: Rough sets methods in approximation of hierarchical concepts. In: Tsumoto, S., et al. (eds.) RSCTC 2004. LNCS (LNAI), vol. 3066, pp. 346–355. Springer, Heidelberg (2004)
Blake, C., Koegh, E., Mertz, C.J.: Repository of Machine Learning, University of California at Irvine (1999)
Breiman, L.: Bagging predictors. Machine Learning 24(2), 123–140 (1996)
Chan, P.K., Stolfo, S.: On the accuracy of meta-learning for scalable data mining. Journal of Intelligent Information Systems 8(1), 5–28 (1997)
Dietrich, T.G.: Ensemble methods in machine learning. In: Proc. of 1st Int. Workshop on Multiple Classifier Systems, pp. 1–15 (2000)
Friedman, J.: Another approach to polychotomous classification. Technical Report, Stanford University (1996)
Góra, G., Wojna, A.: RIONA: a new classification system combining rule induction and instance based learning. Fundamenta Informaticae 51(4), 369–390 (2002)
Greco, S., Matarazzo, B., Słowiński, R.: The use of rough sets and fuzzy sets in MCDM. In: Gal, T., Stewart, T., Hanne, T. (eds.) Advances in Multiple Criteria Decision Making, pp. 14.1-14.59. Kluwer, Dordrecht (1999)
Greco, S., et al.: Variable consistency model of dominance-based rough set approach. In: Ziarko, W., Yao, Y. (eds.) RSCTC 2000. LNCS (LNAI), vol. 2005, pp. 170–181. Springer, Heidelberg (2001)
Grzymala-Busse, J.W.: LERS - a system for learning from examples based on rough sets. In: Slowinski, R. (ed.) Intelligent Decision Support, pp. 3–18. Kluwer Academic Publishers, Dordrecht (1992)
Grzymala-Busse, J.W.: Managing uncertainty in machine learning from examples. In: Proc. 3rd Int. Symp. in Intelligent Systems, Wigry, Poland, pp. 70–84. IPI PAN Press (1994)
Grzymala-Busse, J.W., Zou, X.: Classification strategies using certain and possible rules. In: Polkowski, L., Skowron, A. (eds.) RSCTC 1998. LNCS (LNAI), vol. 1424, pp. 37–44. Springer, Heidelberg (1998)
Grzymala-Busse, J.W., Stefanowski, J.: Three approaches to numerical attribute discretization for rule induction. International Journal of Intelligent Systems 16(1), 29–38 (2001)
Grzymala-Busse, J.W., Stefanowski, J., Wilk, S.: A comparison of two approaches to data mining from imbalanced data. In: Negoita, M.G., Howlett, R.J., Jain, L.C. (eds.) KES 2004. LNCS (LNAI), vol. 3213, pp. 757–763. Springer, Heidelberg (2004)
Han, J., Kamber, M.: Data mining: Concepts and techniques. Morgan Kaufmann, San Francisco (2000)
Hastie, T., Tibshirani, R.: Classification by pairwise coupling. In: Jordan, M.I. (ed.) Advances in Neural Information Processing Systems 10 (NIPS-97), pp. 507–513. MIT Press, Cambridge (1998)
Jelonek, J., Stefanowski, J.: Experiments on solving multiclass learning problems by the n2-classifier. In: Nédellec, C., Rouveirol, C. (eds.) Machine Learning: ECML-98. LNCS, vol. 1398, pp. 172–177. Springer, Heidelberg (1998)
Klosgen, W., Żytkow, J.M. (eds.): Handbook of Data Mining and Knowledge Discovery. Oxford Press, New York (2002)
Komorowski, J., et al.: Rough Sets: tutorial. In: Pal, S.K., Skowron, A. (eds.) Rough Fuzzy Hybridization. A new trend in decision making, pp. 3–98. Springer, Singapore (1999)
Kuncheva, L., Whitaker, C.J.: Measures of diversity in classifier ensembles and their relationship with the ensemble accuracy. Machine Learning 51, 181–207 (2003)
Merz, C.: Using correspondence analysis to combine classifiers. Machine Learning 36(1/2), 33–58 (1999)
Mitchell, T.M.: Machine learning. McGraw-Hill, New York (1997)
Nguyen, S.H., Nguyen, T.T., Nguyen, H.S.: Rough sets approach to sunspot classification problem. In: Ślęzak, D., et al. (eds.) RSFDGrC 2005. LNCS (LNAI), vol. 3642, pp. 263–272. Springer, Heidelberg (2005)
Pawlak, Z.: Rough sets. Int. J. Computer and Information Sci. 11, 341–356 (1982)
Pawlak, Z.: Rough sets. Theoretical aspects of reasoning about data. Kluwer Academic Publishers, Dordrecht (1991)
Pawlak, Z., et al.: Rough sets. Communications of the ACM 38(11), 89–95 (1995)
Skowron, A.: Boolean reasoning for decision rules generation. In: Komorowski, J., Raś, Z.W. (eds.) ISMIS 1993. LNCS, vol. 689, pp. 295–305. Springer, Heidelberg (1993)
Skowron, A., Rauszer, C.: The discernibility matrices and functions in information systems. In: Slowinski, R. (ed.) Intelligent Decision Support. Handbook of Applications and Advances of Rough Set Theory, pp. 331–362. Kluwer Academic Publishers, Dordrecht (1992)
Slezak, D.: Approximate entropy reducts. Fundamenta Informaticae 53(3/4), 365–387 (2002)
Slowinski, R., Greco, S.: Inducing Robust Decision Rules from Rough Approximations of a Preference Relation. In: Rutkowski, L., et al. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 118–132. Springer, Heidelberg (2004)
Stefanowski, J.: Classification support based on the rough sets. Foundations of Computing and Decision Sciences 18(3-4), 371–380 (1993)
Stefanowski, J.: Using valued closeness relation in classification support of new objects. In: Lin, T.Y., Wildberger, A.M. (eds.) Soft computing: rough sets, fuzzy logic, neural networks uncertainty management, knowledge discovery, pp. 324–327. Simulation Councils Inc., San Diego (1995)
Stefanowski, J.: On rough set based approaches to induction of decision rules. In: Polkowski, L., Skowron, A. (eds.) Rough Sets in Data Mining and Knowledge Discovery, vol. 1, pp. 500–529. Physica-Verlag, Heidelberg (1998)
Stefanowski, J.: The rough set based rule induction technique for classification problems. In: Proceedings of 6th European Conference on Intelligent Techniques and Soft Computing, EUFIT 98, Aachen, 7-10 Sep. 1998, pp. 109–113 (1998)
Stefanowski, J.: Multiple and hybrid classifiers. In: Polkowski, L. (ed.) Formal Methods and Intelligent Techniques in Control, Decision Making, Multimedia and Robotics, Post-Proceedings of 2nd Int. Conference, Warszawa, pp. 174–188 (2001)
Stefanowski, J.: Algorithims of rule induction for knowledge discovery (In Polish), Habilitation Thesis published as Series Rozprawy no. 361, Poznan Univeristy of Technology Press, Poznan (2001)
Stefanowski, J.: The bagging and n2-classifiers based on rules induced by MODLEM. In: Tsumoto, S., et al. (eds.) RSCTC 2004. LNCS (LNAI), vol. 3066, pp. 488–497. Springer, Heidelberg (2004)
Stefanowski, J.: An experimental study of methods combining multiple classifiers - diversified both by feature selection and bootstrap sampling. In: Atanassov, K.T., et al. (eds.) Issues in the Representation and Processing of Uncertain and Imprecise Information, pp. 337–354. Akademicka Oficyna Wydawnicza EXIT, Warszawa (2005)
Stefanowski, J., Kaczmarek, M.: Integrating attribute selection to improve accuracy of bagging classifiers. In: Proc. of the AI-METH 2004. Recent Developments in Artificial Intelligence Methods, Gliwice, pp. 263–268 (2004)
Stefanowski, J., Nowaczyk, S.: On using rule induction in multiple classifiers with a combiner aggregation strategy. In: Proc. of the 5th Int. Conference on Intelligent Systems Design and Applications - ISDA 2005, pp. 432–437. IEEE Press, Los Alamitos (2005)
Stefanowski, J., Vanderpooten, D.: Induction of decision rules in classification and discovery-oriented perspectives. International Journal of Intelligent Systems 16(1), 13–28 (2001)
Stefanowski, J., Wilk, S.: Evaluating business credit risk by means of approach integrating decision rules and case based learning. International Journal of Intelligent Systems in Accounting, Finance and Management 10, 97–114 (2001)
Szczuka, M.: Refining classifiers with neural networks. International Journal of Intelligent Systems 16(1), 39–56 (2001)
Valentini, G., Masuli, F.: Ensambles of learning machines. In: Marinaro, M., Tagliaferri, R. (eds.) Neural Nets. LNCS, vol. 2486, pp. 3–19. Springer, Heidelberg (2002)
Wang, H., et al.: Hyperrelations in version space. International Journal of Approximate Reasoning 23, 111–136 (2000)
Ziarko, W.: Variable precision rough sets model. Journal of Computer and Systems Sciences 46(1), 39–59 (1993)
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Stefanowski, J. (2007). On Combined Classifiers, Rule Induction and Rough Sets. In: Peters, J.F., Skowron, A., Düntsch, I., Grzymała-Busse, J., Orłowska, E., Polkowski, L. (eds) Transactions on Rough Sets VI. Lecture Notes in Computer Science, vol 4374. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71200-8_18
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DOI: https://doi.org/10.1007/978-3-540-71200-8_18
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