Abstract
Clustering is defining an equivalence relation between the samples in nature, and two samples are equivalent if they belong to one class. The rough and fine of the granularity reflect the similarity threshold in clustering. In this paper, the disadvantage of granular analysis in clustering based on the theory quotient space, which can’t solve the problem when there are intersections between classes, is pointed out, and the theory of fuzzy tolerance quotient space is introduced, and granular analysis in clustering based on the theory of fuzzy tolerance quotient space is presented. The results of the experiment about clustering radio communication signals show the efficiency of the algorithm.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ji-Gui, S., Jie, L., Lian-Yu, Z.: Clustering Algorithms Research. Journal of Software 19(1), 48–61 (2008)
Guo-Yin, W., Qing-Hua, Z., Jun, H.: An Overview of Granular Computing. CAAI Transactions on Intelligent Systems 2(6), 8–26 (2007)
Jie, C., Ying-Chun, Z., Yan-Ping, Z., Ling, Z.: Analysis and Application of Clustering Based on Information Granularity. Journal of Image and Graphics 12(1), 87–91 (2007)
Ming, H.: Analytical Method of Rough Clustering Based on Granulation. Computer Engineering 34(8), 203–204 (2008)
Lun-Wen, W.: Study of Granular Analysis in Clustering. Computer Engineering and Applications, 29–31 (2006)(5)
Ling, Z., Bo, Z.: Theory of Problem Solving and Its Application—Theory and Application of Granular Computation Based on Quotient Space, pp. 1–188. Tsinghua University Press, Beijing (2007)(3)
Dasa, M., Chakraborty, M.K., Ghoshal, T.K.: Fuzzy tolerance relation, fuzzy tolerance space and basis. Fuzzy Sets and Systems 97, 361–369 (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, L., Wang, L., Wu, Z. (2010). Granular Analysis in Clustering Based on the Theory of Fuzzy Tolerance Quotient Space. In: Yu, J., Greco, S., Lingras, P., Wang, G., Skowron, A. (eds) Rough Set and Knowledge Technology. RSKT 2010. Lecture Notes in Computer Science(), vol 6401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16248-0_100
Download citation
DOI: https://doi.org/10.1007/978-3-642-16248-0_100
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16247-3
Online ISBN: 978-3-642-16248-0
eBook Packages: Computer ScienceComputer Science (R0)