Abstract
The hierarchical model reflects different awareness from different levels. Combining the property of certainty-uncertainty of set pair and the hierarchy of granularity, a new concept is proposed in this paper, that is granularity pair, which is the definition of granularity in set pair, connects the granular computing and the set pair analysis, pairs with object sets and attribute sets, owns the properties of dynamics, limits and similarity. And a similar hierarchical algorithm is designed about the similarity. The example shows that the algorithm is feasible.
Supported by the Natural Scientific Fund Project in Hebei Province (No.A2009000735), Scientific Technology Research and Development Plan Project of Tangshan(No.09130202C).
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References
Zhang, B., Zhang, L.: Problem Solving Theory and Application. Tsinghua University Press, Beijing (1990)
Liu, B., Tan, Y.: Application and fuzzy clustering analysis method based on SPA. Statistics and Decision (2006)
Ye, F.: Applications and research in the hierarchical fuzzy control based on granular computing of fuzzy sets. Guangdong University Master’s degree thesis (2008)
Homenda, W.: Optical music recognition: the case of granular computing, pp. 151–160. Granular computing Physica-Verlag GmbH, Germany (2001)
Zadeh, L.A.: Fuzzy Logic = Computing with Words. On Fuzzy Systems 2, 103–111 (1996)
Yao, Y.Y., Zhao, Y.: Attribute reduction in decision-theoretic rough set models. Information Sciences 178(17), 3356–3373
Li, H.X., Yao, Y.Y., Zhou, X.Z., Huang, B.: Two-Phase Rule Induction from Incomplete Data. In: Wang, G., Li, T., Grzymala-Busse, J.W., Miao, D., Skowron, A., Yao, Y. (eds.) RSKT 2008. LNCS (LNAI), vol. 5009, pp. 47–54. Springer, Heidelberg (2008)
Pawlak, Z.: Rough sets. Intl. Journal of Computer and Information Science. 11, 341–356 (1982)
Wang, G.Y., Zhang, Q.H.: Uncertainty of rough sets in different knowledge granularities. Chinese Journal of Computers 31(9), 1588–1598 (2008)
Liu, Q.: Rough Sets and Rough Reasoning. Science Press, Beijing (2001)
Zhang, L., Zhang, B.: Fuzzy quotient space theory (Fuzzy Granular Computing). Journal of Software 14(4), 770–776 (2003)
Zhang, B., Zhang, L.: Theory and applications of problem solving. Elsevier Science Publishers B.V, North-Holland (1992)
Zhao, K.: Set Pair Analysis and Its Application. Zhejiang Science Technology Press, Hangzhou (2000)
Bing, Z., Hongfang, W., et al.: Analysis of relation between flood peak and volume based on set pair. Journal of Sichuan University: Engineering Science Editon 39(3), 29–33 (2007)
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Liu, C., Feng, L. (2010). Research of Granularity Pair and Similar Hierarchical Algorithm. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Lecture Notes in Computer Science, vol 6377. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16167-4_48
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DOI: https://doi.org/10.1007/978-3-642-16167-4_48
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