An application of covering approximation spaces on network security

Computers and Mathematics with Applications

Volumn 60, Issue 5, 2010, Pages 1191-1199

  Ge, Xun ^a,b  

^a SOOCHOW UNIVERSITY   (China)

^b JIANGSU UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Covering approximation space; Network security; Rough set; Separation

Indexed keywords

APPROXIMATION ALGORITHMS; PATTERN RECOGNITION; RISK ASSESSMENT; ROUGH SET THEORY; SEPARATION; SET THEORY;

APPROXIMATION SPACES; LOGICAL METHODS; MATHEMATICAL METHOD; PAWLAK ROUGH SET; RESEARCH NETWORKS;

NETWORK SECURITY;

EID: 78049258235     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.05.043     Document Type: Article

References (32)

1. Z. Pawlak, Rough sets, International Journal of Computer and Information Sciences 11 (1982) 341-356.
2. J.P. Herbert, J. Yao, Criteria for choosing a rough set model, Computers and Mathematics with Applications 57 (2009) 908-918.
3. A. Jackson, Z. Pawlak, S. LeClair, Rough sets applied to the discovery of materials knowledge, Journal of Alloys and Compounds 279 (1998) 14-21. (Pubitemid 128412187)
4. M. Kryszkiewicz, Rough set approach to incomplete information systems, Information Sciences 112 (1998) 39-49. (Pubitemid 128649627)
5. M. Kryszkiewicz, Rule in incomplete information systems, Information Sciences 113 (1998) 271-292.
6. Y. Leung, W. Wu, W. Zhang, Knowledge acquisition in incomplete information systems: a rough set approach, European Journal of Operational Research 168 (2006) 164-180. (Pubitemid 40454556)
7. M. Liu, M. Shao, W. Zhang, C. Wu, Reduction method for concept lattices based on rough set theory and its application, Computers and Mathematics with Applications 53 (2007) 1390-1410.
8. Z. Pawlak, Rough Sets: Theoretical Aspects of Reasoning About Data, Kluwer Academic Publishers, Boston, 1991.
9. Z. Pawlak, Theorize with data using rough sets, in: Proceedings of the 26-th Annual International Computer Software and Applications Conference, 2002.
10. J. Peters, Z. Pawlak, A. Skowron, A rough set approach to measuring information granules, in: Proceedings of the 26-th Annual International Computer Software and Applications Conference, 2002.
11. Z. Pawlak, A. Skowron, Rough sets: some extensions, Information Sciences 177 (2007) 28-40.
12. Y. Yao, N. Zhong, Potential applications of granular computing in knowledge discovery and data mining, in: Proceedings of World Multiconference on Systemics, Cybernetics and Informatics, 1999, pp. 573-580.
13. W. Zhu, F. Wang, Covering based granular computing for conflict analysis, in: ISI 2006, in: LNCS, vol. 3975, 2006, pp. 566-571.
14. D. Zhu, G. Premkumar, X. Zhang, C. Chu, Data mining for network intrusion detection: a comparison of alternative methods, Decision Sciences 32 (2001) 635-660.
15. Z. Cai, X. Guan, P. Shao, Q. Peng, G. Sun, A rough set theory based method for anomaly intrusion detection in computer network systems, Expert Systems 20 (2003) 251-259.
16. I. Bae, H. Lee, K. Lee, Design and evaluation of a rough set-based anomaly detection scheme considering weighted feature values, Lecture Notes in Artificial Intelligence 4051 (2006) 483-489.
17. J. Yao, S. Zhao, L. Fan, An enhanced support vector machine model for intrusion detection, Lecture Notes in Artificial Intelligence 4062 (2006) 538-543.
18. Z. Bonikowski, E. Bryniarski, U. Wybraniec, Extensions and intentions in the rough set theory, Information Sciences 107 (1998) 149-167. (Pubitemid 128383778)
19. E. Lashin, A. Kozae, A. Khadra, T. Medhat, Rough set theory for topological spaces, International Journal of Approximate Reasoning 40 (2005) 35-43. (Pubitemid 40710217)
20. J.A. Pomykala, Approximation operations in approximation space, Bulletin of the Polish Academy of Sciences. Mathematics (9-10) (1987) 653-662.
21. K. Qin, Y. Gao, Z. Pei, On covering rough sets, in: RSKT 2007, in: LNAI, vol. 4481, 2007, pp. 34-41.
22. E.C.C. Tsang, D. Chen, D.S. Yeung, Approximations and reducts with covering generalized rough sets, Computers and Mathematics with Applications 56 (2008) 279-289.
23. Y. Yao, Two views of the theory of rough sets in finite universes, International Journal of Approximate Reasoning 15 (1996) 291-317.
24. Y. Yao, Constructive and algebraic methods of theory of rough sets, Information Sciences 109 (1998) 21-47.
25. Y. Yao, Relational interpretations of neighborhood operators and rough set approximation operators, Information Sciences 111 (1998) 239-259.
26. Y. Yao, On generalizing rough set theory, Lecture Notes in Artificial Intelligence 2639 (2003) 44-51.
27. W. Zakowski, Approximations in the space (U; ][), Demonstratio Mathematica 16 (1983) 761-769.
28. W. Zhu, Topological approaches to covering rough sets, Information Sciences 177 (2007) 1499-1508. (Pubitemid 46037660)
29. W. Zhu, F. Wang, Reduction and axiomization of covering generalized rough sets, Information Sciences 152 (2003) 217-230.
30. W. Zhu, F. Wang, On three types of covering rough sets, IEEE Transactions on Knowledge and Data Engineering 19 (2007) 1131-1144.
31. C.E. Aull, W.J. Thron, Separation axioms between T0 and T1, Indagationes Mathematicae 24 (1962) 26-37.
32. R. Engelking, General Topology, Heldermann, Berlin, 1989 (revised and completed edition).