Abstract
In this article we propose a two-step classification method. At the first step it constructs a tolerance relation from the data, and at second step it uses correlation clustering to construct the base sets, which are used at the classification of the objects. Besides the exposition of the theoretical background we also show this method in action: we present the details of the classification of the well-known iris data set. Moreover we frame some open question due this kind of classification.
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Aszalós, L., Mihálydeák, T.: Rough clustering generated by correlation clustering. In: Ciucci, D., Inuiguchi, M., Yao, Y., Ślęzak, D., Wang, G. (eds.) RSFDGrC 2013. LNCS, vol. 8170, pp. 315–324. Springer, Heidelberg (2013)
Bansal, N., Blum, A., Chawla, S.: Correlation clustering. Machine Learning 56(1-3), 89–113 (2004)
Becker, H.: A survey of correlation clustering. Advanced Topics in Computational Learning Theory, pp. 1–10 (2005)
Fisher, R.A.: The use of multiple measurements in taxonomic problems. Annals of Eugenics 7(7), 179–188 (1936)
Jain, A.K.: Data clustering: 50 years beyond k-means. Pattern Recognition Letters 31(8), 651–666 (2010), http://linkinghub.elsevier.com/retrieve/pii/S0167865509002323
Kumar, P., Krishna, P.R., Bapi, R.S., De, S.K.: Rough clustering of sequential data. Data & Knowledge Engineering 63(2), 183–199 (2007), http://linkinghub.elsevier.com/retrieve/pii/S0169023X07000055
Lingras, P., Peters, G.: Applying rough set concepts to clustering. In: Peters, G., Lingras, P., Ślęzak, D., Yao, Y. (eds.) Rough Sets: Selected Methods and Applications in Management and Engineering, pp. 23–37. Springer, London (2012), http://www.springerlink.com/index/10.1007/978-1-4471-2760-4_2
Minton, S., Johnston, M.D., Philips, A.B., Laird, P.: Minimizing conflicts: a heuristic repair method for constraint satisfaction and scheduling problems. Artificial Intelligence 58(1), 161–205 (1992)
Mitra, S., Pedrycz, W., Barman, B.: Shadowed c-means: Integrating fuzzy and rough clustering. Pattern Recognition 43(4), 1282–1291 (2010), http://linkinghub.elsevier.com/retrieve/pii/S0031320309003732
Néda, Z., Sumi, R., Ercsey-Ravasz, M., Varga, M., Molnár, B., Cseh, G.: Correlation clustering on networks. Journal of Physics A: Mathematical and Theoretical 42(34), 345003 (2009), http://www.journalogy.net/Publication/18892707/correlation-clustering-on-networks
Parmar, D., Wu, T., Blackhurst, J.: MMR: an algorithm for clustering categorical data using rough set theory. Data & Knowledge Engineering 63(3), 879–893 (2007), http://linkinghub.elsevier.com/retrieve/pii/S0169023X07001012
Pawlak, Z.: Rough classification. International Journal of Man-Machine Studies 20(5), 469–483 (1984)
Pawlak, Z., Skowron, A.: Rough sets and boolean reasoning. Information Sciences 177(1), 41–73 (2007)
Peters, G., Weber, R., Nowatzke, R.: Dynamic rough clustering and its applications. Applied Soft Computing 12(10), 3193–3207 (2012), http://linkinghub.elsevier.com/retrieve/pii/S1568494612002517
Shen, Q., Chouchoulas, A.: A rough-fuzzy approach for generating classification rules. Pattern Recognition 35(11), 2425–2438 (2002)
Tsai, Y.C., Cheng, C.H., Chang, J.R.: Entropy-based fuzzy rough classification approach for extracting classification rules. Expert Systems with Applications 31(2), 436–443 (2006)
Yang, L., Yang, L.: Study of a cluster algorithm based on rough sets theory. In: Proceedings of the Sixth International Conference on Intelligent Systems Design and Applications, ISDA 2006, vol. 1, pp. 492–496. IEEE Computer Society, Washington, DC (2006), http://dx.doi.org/10.1109/ISDA.2006.253
Zimek, A.: Correlation clustering. ACM SIGKDD Explorations Newsletter 11(1), 53–54 (2009)
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Aszalós, L., Mihálydeák, T. (2014). Rough Classification Based on Correlation Clustering. In: Miao, D., Pedrycz, W., Ślȩzak, D., Peters, G., Hu, Q., Wang, R. (eds) Rough Sets and Knowledge Technology. RSKT 2014. Lecture Notes in Computer Science(), vol 8818. Springer, Cham. https://doi.org/10.1007/978-3-319-11740-9_37
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DOI: https://doi.org/10.1007/978-3-319-11740-9_37
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11739-3
Online ISBN: 978-3-319-11740-9
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