Abstract
Singular rough sets (for short S-rough sets)have three forms: one direction S-rough sets, dual of one direction S-rough sets and two direction S-rough sets. Dynamic, hereditary, mnemonic and hiding properties are the basic characteristics of S-rough sets. By employing two direction S-rough sets, the concepts of \((f,\overline{f})\)-hiding knowledge, -hiding knowledge, hiding degree and hiding dependence degree are given. Then the hiding theorem and the hiding dependence theorem of hiding knowledge are proposed. Finally, an application of hiding knowledge to profit analysis of economy system is presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Shi, K.Q.: S-rough sets and its applications in diagnosis-recognition for disease. In: IEEE Proceedings of the First International Conference on Machine Learning and Cybernetics, vol. (1), pp. 50–54 (2002)
Shi, K.Q., Cui, Y.Q.: S-rough sets and its general structure. Journal of Shandong University (natural science) (6), 471–474 (2002) (in Chinese)
Shi, K.Q., Cui, Y.Q.: F-decomposition and \(\overline F\)-reduction of S-rough sets. An International Journal Advances in Systems Science and Applications (4), 487–499 (2004)
Shi, K.Q., Cui, Y.Q.: One direction S-rough decision and its decision model. In: IEEE Proceedings of the International Conference on Machine Leaning and Cybernetics, vol. (3), pp. 1073–1078 (2004)
Shi, K.Q.: S-rough Sets and Knowledge Separation. Journal of Systems Engineering and Electronics (2), 401–410 (2005)
Shi, K.Q., Chang, T.C.: One direction S-rough sets. International Journal of Fuzzy Mathematics (2), 319–334 (2005)
Shi, K.Q.: Two direction S-rough sets. International Journal of Fuzzy Mathematics (2), 335–349 (2005)
Lu, C.J., Shi, K.Q.: Knowledge filter and its dependent reasoning discovery. International Journal of Fuzzy Mathematics (3), 502–510 (2005)
Shi, K.Q., Cui, Y.Q.: Decomposition and reduction of S-rough sets. Journal of Systems Engineering and Electronics (2), 646–651 (2005) (in chinese)
Wang, H.Q., Liu, Y.L., Shi, K.Q.: Memory Knowledge and its memory mining. An International Journal Advances in Systems Sciences and Applications (4), 546–553 (2005)
Shi, K.Q.: S-rough sets and new material discovery-recognition. Journal of Systems Engineering and Electronics (3), 383–388 (2006)
Shi, K.Q., Cui, Y.Q.: S-rough sets and rough decision, pp. 39–54. Science Press, Beijing (2006)
Pawlak, Z.: Rough sets. International Journal of Computer and Information Science (11), 341–356 (1982)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Fu, Hy., Shi, Kq., Zhang, Cy. (2009). S-Rough Sets and -Knowledge Hiding-Discovery.
In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_74
Download citation
DOI: https://doi.org/10.1007/978-3-540-88914-4_74
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88913-7
Online ISBN: 978-3-540-88914-4
eBook Packages: EngineeringEngineering (R0)