Abstract
In this paper, a new framework called information granule matrix is suggested to illustrate a given granule sample for showing its information structure. The new framework does not any extra condition but the observations. An information granule matrix can be turned into a fuzzy relation matrix for fuzzy inference. The concept of information granule matrix is firstly formulated. Then information granule matrix is shown by a simple example and discussed from the meaning of mechanism. To display the advantage of the new framework, it is compared with some existed methods. We also use our suggested framework to illustrate the relationship between earthquake magnitude M and isoseismal area S. The result shows that the new model is better than both Linear Regression and BP Network.
Project Supported by National Natural Science Foundation of China, No. 40371002.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Gori, M., Tesi, A.: On the Problem of Local Minima in Back-propagation. IEEE Transactions on Pattern Analysis and Machine Intelligence 14, 76–86 (1992)
Kosko, B.: Fuzzy Engineering. Prentice-Hall, Upper Saddle River (1997)
Ruan, D., Huang, C.: Fuzzy Sets and Fuzzy Information Granulation Theory — Key Selected by Zadeh, L.A. Beijing Normal University Press, Beijing (2000)
Huang, C., Xue, Y.: Some Concepts and Methods of Information Granule Diffusion. In: Hu, X., Liu, Q., Skowron, A., Lin, T.Y., Yager, R.R., Zhang, B. (eds.) Proceedings of the 2005 IEEE International Conference on Granular Computing, vol. I, pp. 28–33 (2005)
Huang, C.F., Moraga, C.: A Diffusion-neural-network for Learning From Small Samples. International Journal of Approximate Reasoning 35, 137–161 (2004)
Huang, C., Shi, Y.: Towards Efficient Fuzzy Information Processing — Using the Principle of Information Diffusion. Physica-Verlag (Springer), Heidelberg (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Xue, Y., Huang, C. (2006). Theory and Practice on Information Granule Matrix. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_36
Download citation
DOI: https://doi.org/10.1007/11881599_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45916-3
Online ISBN: 978-3-540-45917-0
eBook Packages: Computer ScienceComputer Science (R0)