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2018 | OriginalPaper | Chapter

Complexity of Rule Sets Induced by Characteristic Sets and Generalized Maximal Consistent Blocks

Authors : Patrick G. Clark, Cheng Gao, Jerzy W. Grzymala-Busse, Teresa Mroczek, Rafal Niemiec

Published in: Artificial Intelligence and Soft Computing

Publisher: Springer International Publishing

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Abstract

We study mining incomplete data sets with two interpretations of missing attribute values, lost values and “do not care” conditions. For data mining we use characteristic sets and generalized maximal consistent blocks. Additionally, we use three types of probabilistic approximations, lower, middle and upper, so altogether we apply six approaches to data mining. Since it was shown that an error rate, associated with such data mining is not universally smaller for any approach, we decided to compare complexity of induced rule sets. Therefore, our objective is to compare six approaches to mining incomplete data sets in terms of complexity of induced rule sets. We conclude that there are statistically significant differences between these approaches.

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Literature
1.
go back to reference Clark, P.G., Gao, C., Grzymala-Busse, J.W., Mroczek, T.: Characteristic sets and generalized maximal consistent blocks in mining incomplete data. In: Polkowski, L., Yao, Y., Artiemjew, P., Ciucci, D., Liu, D., Ślęzak, D., Zielosko, B. (eds.) IJCRS 2017. LNCS (LNAI), vol. 10313, pp. 477–486. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-60837-2_39CrossRef Clark, P.G., Gao, C., Grzymala-Busse, J.W., Mroczek, T.: Characteristic sets and generalized maximal consistent blocks in mining incomplete data. In: Polkowski, L., Yao, Y., Artiemjew, P., Ciucci, D., Liu, D., Ślęzak, D., Zielosko, B. (eds.) IJCRS 2017. LNCS (LNAI), vol. 10313, pp. 477–486. Springer, Cham (2017). https://​doi.​org/​10.​1007/​978-3-319-60837-2_​39CrossRef
2.
go back to reference Clark, P.G., Grzymala-Busse, J.W.: Experiments on probabilistic approximations. In: Proceedings of the 2011 IEEE International Conference on Granular Computing, pp. 144–149 (2011) Clark, P.G., Grzymala-Busse, J.W.: Experiments on probabilistic approximations. In: Proceedings of the 2011 IEEE International Conference on Granular Computing, pp. 144–149 (2011)
3.
go back to reference Clark, P.G., Grzymala-Busse, J.W.: Experiments using three probabilistic approximations for rule induction from incomplete data sets. In: Proceeedings of the MCCSIS 2012, IADIS European Conference on Data Mining ECDM 2012, pp. 72–78 (2012) Clark, P.G., Grzymala-Busse, J.W.: Experiments using three probabilistic approximations for rule induction from incomplete data sets. In: Proceeedings of the MCCSIS 2012, IADIS European Conference on Data Mining ECDM 2012, pp. 72–78 (2012)
4.
go back to reference Grzymala-Busse, J.W.: LERS–a system for learning from examples based on rough sets. In: Slowinski, R. (ed.) Intelligent Decision Support. Handbook of Applications and Advances of the Rough Set Theory, pp. 3–18. Kluwer Academic Publishers, Dordrecht (1992)CrossRef Grzymala-Busse, J.W.: LERS–a system for learning from examples based on rough sets. In: Slowinski, R. (ed.) Intelligent Decision Support. Handbook of Applications and Advances of the Rough Set Theory, pp. 3–18. Kluwer Academic Publishers, Dordrecht (1992)CrossRef
5.
go back to reference Grzymala-Busse, J.W.: A new version of the rule induction system LERS. Fundam. Inform. 31, 27–39 (1997)MATH Grzymala-Busse, J.W.: A new version of the rule induction system LERS. Fundam. Inform. 31, 27–39 (1997)MATH
6.
go back to reference Grzymala-Busse, J.W.: MLEM2: a new algorithm for rule induction from imperfect data. In: Proceedings of the 9th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, pp. 243–250 (2002) Grzymala-Busse, J.W.: MLEM2: a new algorithm for rule induction from imperfect data. In: Proceedings of the 9th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, pp. 243–250 (2002)
7.
go back to reference Grzymala-Busse, J.W.: Rough set strategies to data with missing attribute values. In: Notes of the Workshop on Foundations and New Directions of Data Mining, in Conjunction with the Third International Conference on Data Mining, pp. 56–63 (2003) Grzymala-Busse, J.W.: Rough set strategies to data with missing attribute values. In: Notes of the Workshop on Foundations and New Directions of Data Mining, in Conjunction with the Third International Conference on Data Mining, pp. 56–63 (2003)
9.
go back to reference Grzymala-Busse, J.W., Ziarko, W.: Data mining based on rough sets. In: Wang, J. (ed.) Data Mining: Opportunities and Challenges, pp. 142–173. Idea Group Publishing, Hershey (2003)CrossRef Grzymala-Busse, J.W., Ziarko, W.: Data mining based on rough sets. In: Wang, J. (ed.) Data Mining: Opportunities and Challenges, pp. 142–173. Idea Group Publishing, Hershey (2003)CrossRef
10.
go back to reference Leung, Y., Li, D.: Maximal consistent block technique for rule acquisition in incomplete information systems. Inf. Sci. 153, 85–106 (2003)MathSciNetCrossRef Leung, Y., Li, D.: Maximal consistent block technique for rule acquisition in incomplete information systems. Inf. Sci. 153, 85–106 (2003)MathSciNetCrossRef
11.
go back to reference Leung, Y., Wu, W., Zhang, W.: Knowledge acquisition in incomplete information systems: a rough set approach. Eur. J. Oper. Res. 168, 164–180 (2006)MathSciNetCrossRef Leung, Y., Wu, W., Zhang, W.: Knowledge acquisition in incomplete information systems: a rough set approach. Eur. J. Oper. Res. 168, 164–180 (2006)MathSciNetCrossRef
13.
go back to reference Pawlak, Z., Wong, S.K.M., Ziarko, W.: Rough sets: probabilistic versus deterministic approach. Int. J. Man Mach. Stud. 29, 81–95 (1988)CrossRef Pawlak, Z., Wong, S.K.M., Ziarko, W.: Rough sets: probabilistic versus deterministic approach. Int. J. Man Mach. Stud. 29, 81–95 (1988)CrossRef
14.
go back to reference Ślȩzak, D., Ziarko, W.: The investigation of the bayesian rough set model. Int. J. Approx. Reason. 40, 81–91 (2005)MathSciNetCrossRef Ślȩzak, D., Ziarko, W.: The investigation of the bayesian rough set model. Int. J. Approx. Reason. 40, 81–91 (2005)MathSciNetCrossRef
15.
go back to reference Wong, S.K.M., Ziarko, W.: INFER–an adaptive decision support system based on the probabilistic approximate classification. In: Proceedings of the 6-th International Workshop on Expert Systems and their Applications, pp. 713–726 (1986) Wong, S.K.M., Ziarko, W.: INFER–an adaptive decision support system based on the probabilistic approximate classification. In: Proceedings of the 6-th International Workshop on Expert Systems and their Applications, pp. 713–726 (1986)
16.
go back to reference Yao, Y.Y.: Probabilistic rough set approximations. Int. J. Approx. Reason. 49, 255–271 (2008)CrossRef Yao, Y.Y.: Probabilistic rough set approximations. Int. J. Approx. Reason. 49, 255–271 (2008)CrossRef
17.
go back to reference Yao, Y.Y., Wong, S.K.M.: A decision theoretic framework for approximate concepts. Int. J. Man Mach. Stud. 37, 793–809 (1992)CrossRef Yao, Y.Y., Wong, S.K.M.: A decision theoretic framework for approximate concepts. Int. J. Man Mach. Stud. 37, 793–809 (1992)CrossRef
Metadata
Title
Complexity of Rule Sets Induced by Characteristic Sets and Generalized Maximal Consistent Blocks
Authors
Patrick G. Clark
Cheng Gao
Jerzy W. Grzymala-Busse
Teresa Mroczek
Rafal Niemiec
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-91262-2_27

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