摘要
Function one direction S-rough sets have dynamic characteristics and law characteristics. By using the function one direction S-rough sets, this article presents the concepts of the f-hiding law, F-hiding law, f-hiding law dependence and F-hiding law dependence. Based on the concepts above, this article proposes the hidingdependence theorem of f-hiding laws, the hiding-dependence theorem of F-hiding laws, the hiding-dependence separation theorem, the hiding dependence-discovery principle of unknown laws. Finally, the application of the hiding dependence of hiding laws in the discovery of system laws is given.
Function one direction S-rough sets have dynamic characteristics and law characteristics. By using the function one direction S-rough sets, this article presents the concepts of the f-hiding law, F-hiding law, f-hiding law dependence and F-hiding law dependence. Based on the concepts above, this article proposes the hidingdependence theorem of f-hiding laws, the hiding-dependence theorem of F-hiding laws, the hiding-dependence separation theorem, the hiding dependence-discovery principle of unknown laws. Finally, the application of the hiding dependence of hiding laws in the discovery of system laws is given.
基金
supported partly by the Natural Science Foundation of Shandong Province(Y2004A04)
Elementaryand Advanced Technology Foundation of Henan Province(082300410040)
作者简介
Zhou Houyong was born in 1965. He is an associate professor in Huanghuai University. His research interest is rough sets theory and its applications. E-mail： zhouhy86@yahoo.com.cnHuang Shunliang was born in 1977. He is a Ph.D. candidate for control theory and control engineering in Shandong University. His research interest is rough sets theory and its applications.Shi Kaiquan was born in 1945. Currently he is a professor in School of Mathematics and System Science, Shandong University. His research interest includes rough system theory and applications. He presented S-rough sets （Singular rough sets） in 2002, and function S-rough sets in 2005. E-mail： shikq@sdu.edu.cn
