Abstract
Most of clustering methods assume that each object must be assigned to exactly one cluster, however, overlapping clustering is more appropriate than crisp clustering in a variety of important applications such as the network structure analysis and biological information. This paper provides a three-way decisions approach for overlapping clustering based on the decision-theoretic rough set model, where each cluster is described by an interval set which is defined by a pair of sets called the lower and upper bounds, and the overlapping objects usually are distributed in the region between the lower and upper regions. Besides, a density-based clustering algorithm is proposed using the approach considering the advantages of the density-based clustering algorithms in finding the arbitrary shape clusters. The results of comparison experiments show that the three-way decisions approach is not only effective to overlapping clustering but also good at discovering the arbitrary shape clusters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Asharaf, S., Murty, M.N.: An adaptive rough fuzzy single pass algorithm for clustering large data sets. Pattern Recogn. 36(12), 3015–3018 (2003)
Aydin, N., Naït-Abdesselam, F., Pryyma, V., Turgut, D.: Overlapping clusters algorithm in ad hoc networks. In: 2010 IEEE Global Telecommunications Conference, pp. 1–5 (2010)
Chameleon data sets: http://glaros.dtc.umn.edu/gkhome/cluto/download
Chen, M., Miao, D.Q.: Interval set clustering. Expert Syst. Appl. 38, 2923–2932 (2011)
Duan, L., Xu, L.D., Guo, F., Lee, J., Yan, B.P.: A local-density based spatial clustering algorithm with noise. Inf. Syst. 32(7), 978–986 (2007)
Ester, M., Kriegel, H.P., Sander, J., Xu, X.W.: A density-based algorithm for discovering clusters in large spatial databases with noise. In: KDD (1996)
Fu, Q., Banerjee, A.: Multiplicative mixture models for overlapping clustering. In: IEEE International Conference on Data Mining, pp. 791–797 (2003)
Herbert, J.P., Yao, J.T.: Learning optimal parameters in decision-theoretic rough sets. In: Wen, P., Li, Y., Polkowski, L., Yao, Y., Tsumoto, S., Wang, G. (eds.) RSKT 2009. LNCS (LNAI), vol. 5589, pp. 610–617. Springer, Heidelberg (2009)
Lingras, P., Bhalchandra, P., Khamitkar, S., Mekewad, S., Rathod, R.: Crisp and soft clustering of mobile calls. In: Sombattheera, C., Agarwal, A., Udgata, S.K., Lavangnananda, K. (eds.) MIWAI 2011. LNCS (LNAI), vol. 7080, pp. 147–158. Springer, Heidelberg (2011)
Lingras, P., Yao, Y.Y.: Time complexity of rough clustering: GAs versus K-means. In: Alpigini, J.J., Peters, J.F., Skowron, A., Zhong, N. (eds.) RSCTC 2002. LNCS (LNAI), vol. 2475, pp. 263–270. Springer, Heidelberg (2002)
Liu, D., Yao, Y.Y., Li, T.R.: Three-way investment decisions with decision-theoretic rough sets. Int. J. Comput. Intell. Syst. 4(1), 66–74 (2011)
Ma, S., Wang, T.J., Tang, S.W., Yang, D.Q., Gao, J.: A fast clustering algorithm based on reference and density. J. Softw. 14(6), 1089–1095 (2003)
Obadi, G., Dráždilová, P., Hlaváček, L., Martinovič, J., Snášel, V.: A tolerance rough set based overlapping clustering for the DBLP data. In: IEEE/WIC/ACM International Conference on Web Intelligence and Intelligent Agent Technology, pp. 57–60 (2010)
Pawlak, Z.: Rough sets. Int. J. Comput. Inf. Sci. 11(5), 341–356 (1982)
Pawlak, Z.: Rough classification. Int. J. Man-Mach. Stud. 20(5), 469–483 (1984)
Ren, Y., Liu, X.D., Liu, W.Q.: DBCAMM: a novel density based clustering algorithm via using the Mahalanobis metric. Appl. Soft Comput. 12(5), 1542–1554 (2010)
Sander, J., Ester, M., Kriegel, H.P., Xu, X.W.: Density-based clustering in spatial databases: the algorithm GDBSCAN and its applications. Data Min. Knowl. Disc. 2(2), 169–194 (1998)
Subramaniam, S., Palpanas, T., Papadopoulos, D., Kalogeraki, V., Gunopulos, D.: Online outlier detection in sensor data using non-parametric models. In: Proceedings of the 32nd International Conference on Very Large Data Bases, pp. 187–198 (2006)
Takaki, M.: A extraction method of overlapping cluster based on network structure analysis. In: IEEE/WIC/ACM International Conferences on Web Intelligence and Intelligent Agent Technology, pp. 212–217 (2007)
Tsai, C.-F., Liu, C.-W.: KIDBSCAN: a new efficient data clustering algorithm. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 702–711. Springer, Heidelberg (2006)
Weller, A.C.: Editorial Peer Review: Its Strengths & Weaknesses. Information Today Inc., Medford (2001)
Wu, X.H., Zhou, J.J.: Possibilistic fuzzy c-means clustering model using kernel methods. In: Proceeding of the 2005 International Conference on Computational Intelligence for Modelling, Control and Automation, and International Conference on Intelligent Agents, Web Technologies and Internet Commerce (CIMCA-IAWTIC’05), vol. 2, pp. 465–470 (2005)
Yao, Y.Y.: Three-way decisions with probabilistic rough sets. Inf. Sci. 180(3), 341–353 (2010)
Yao, Y.Y.: The superiority of three-way decisions in probabilistic rough set models. Inf. Sci. 181(6), 1080–1096 (2011)
Yao, Y.Y., Lingras, P., Wang, R.Z., Miao, D.Q.: Interval set cluster analysis: a re-formulation. In: Sakai, H., Chakraborty, M.K., Hassanien, A.E., Ślęzak, D., Zhu, W. (eds.) RSFDGrC 2009. LNCS (LNAI), vol. 5908, pp. 398–405. Springer, Heidelberg (2009)
Yao, Y.Y., Wong, S.K.M.: A decision theoretic framework for approximating concepts. Int. J. Man-Mach. Stud. 37(6), 793–809 (1992)
Yousri, N.A., Kamel, M.S., Ismail, M.A.: A possibilistic density based clustering for discovering clusters of arbitrary shapes and densities in high dimensional data. In: Huang, T., Zeng, Z., Li, C., Leung, C.S. (eds.) ICONIP 2012, Part III. LNCS, vol. 7665, pp. 577–584. Springer, Heidelberg (2012)
Yu, H., Luo, H.: A novel possibilistic fuzzy leader clustering algorithm. Int. J. Hybrid Intell. Syst. 8(1), 31–40 (2011)
Zhou, B., Yao, Y.Y., Luo, J.G.: A three-way decision approach to email spam filtering. In: Farzindar, A., Kešelj, V. (eds.) Canadian AI 2010. LNCS (LNAI), vol. 6085, pp. 28–39. Springer, Heidelberg (2010)
Lusseau, D., Newman, M.E.J.: Identifying the role that animals play in their social networks. Proc. R. Soc. Lond. Ser. B Biol. Sci. 271(Suppl 6), S477–S481 (2004)
Acknowledgments
This work was supported in part by the China NSFC grant (No.61379114 & No.61272060).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Yu, H., Wang, Y., Jiao, P. (2014). A Three-Way Decisions Approach to “”Density-Based Overlapping Clustering. In: Peters, J.F., Skowron, A., Li, T., Yang, Y., Yao, J., Nguyen, H.S. (eds) Transactions on Rough Sets XVIII. Lecture Notes in Computer Science(), vol 8449. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44680-5_6
Download citation
DOI: https://doi.org/10.1007/978-3-662-44680-5_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-44679-9
Online ISBN: 978-3-662-44680-5
eBook Packages: Computer ScienceComputer Science (R0)