Abstract
In this paper we propose a rough sets-based clustering method that takes simplicity of the resultant classification knowledge into account. The method uses a new measure called indiscernibility degree. Indiscernibility degree of two objects corresponds to the ratio of equivalence relations that commonly regard the two objects as indiscernible ones. If an equivalence relation has ability to discern the two objects that have high indiscernibility degree, it can be considered to give too fine classification to the objects. Such an equivalence relation is then modified to treat the two objects as indiscernible ones. Consequently, we obtain the clusters that can be described with simples set of classification rules.
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References
S. Tsumoto, “Automated Discovery of Positive and Negative Knowledge in Clinical Databases,” IEEE EMB Magazine, vol. 19, no.4, pp. 56–62, 2000.
S. Z. Selim and M. A. Ismail, “K-means-type Algorithns: A Generalized Convergence Theorem and Characterization of Local Optimality,” IEEE Trans. Pattern Anal. Mach. Intell., vol. 6, no. 1, pp. 81–87, 1984.
J. C. Bezdek, Pattern Recognition with Fuzzy Objective Function Algorithm, Plenum Press, New York, 1981.
M. R. Anderberg, Cluster Analysis for Applications, Academic Press, New York, 1973.
T. Zhang, R. Ramakrishnan, and M. Livny, “BIRCH: An Efficient Data Clustering Method for Very Large Databases,” in Proc. ACM SIGMOD Int. Conf. Manag. Data, pp. 103–114, 1996.
P. Cheeseman and J. Stutz, “Bayesian classification (AutoClass): Theory and results,” in U. Fayyad, G. Piatesky-Shapiro, P. Smyth, and R. Uthurusamy eds, Advances in Knowledge Discovery and Data Mining, pp. 153–180, AAAI Press, Menlo Park, 1996.
Z. Pawlak, Rough Sets, Theoretical Aspects of Reasoning about Data, Kluwer Academic Publishers, Dordrecht, 1991.
J. Neyman and E. L. Scott., “Statistical Approach to Problems of Cosmology,” Journal of the Royal Statistical Society, Series B20, 1–43, 1958.
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Hirano, S., Tsumoto, S. (2003). A Knowledge-Oriented Clustering Method Based on Indiscernibility Degree of Objects. In: Inuiguchi, M., Hirano, S., Tsumoto, S. (eds) Rough Set Theory and Granular Computing. Studies in Fuzziness and Soft Computing, vol 125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36473-3_15
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DOI: https://doi.org/10.1007/978-3-540-36473-3_15
Publisher Name: Springer, Berlin, Heidelberg
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