A New Subsystem-Based Definition of Generalized Rough Set Model
The generalization of Pawlak rough set model always attracts the attentions of the researchers in the rough set society. In this paper, we propose a new subsystem-based definition of generalized rough set model and disclose the corresponding properties. We also discuss the interrelationships between our definition and the existing ones, the outputs show that our definition is effective and reasonable.
KeywordsBinary relation Generalized rough set Lower and upper approximations \(\sigma \)-algebra
This work was supported by the China National Natural Science Foundation of Youth Science Foundation under Grant No.: 61305052, 61403329, the State Scholarship Fund of China (File No. 201409865003), the Key Technology Research and Development Program of Education Bureau of Jiangxi Province of China under Grant No.: GJJ14660, the Key Technology Research and Development Program of Jiangxi Province of China under Grant No.: 20142BBF60010, 20151BBF60071.
- 2.Yao, Y.Y.: Generalized rough set models. In: Polkowski, L., Skowron, A. (eds.) Rough Sets in Knowledge Discovery, pp. 286–318. Physica-Verlag, Heidelberg (1998)Google Scholar
- 3.Yao, Y.Y., Wong, S.K., Lingras, P.: A decision-theoretic rough setmodel. In: Ras, Z.W., Zemankova, M., Emrich, M.L. (eds.) Methodologies for Intelligent Systems, vol. 5, pp. 17–24. North-Holland, New York (1990)Google Scholar
- 15.Zhang, W.X., Wu, W.Z., Liang, J.Y., Li, D.Y.: Theory and Method of Rough Sets. Science Press, Beijing (2001). (in Chinese)Google Scholar
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