Attributes reduction using fuzzy rough sets

IEEE Transactions on Fuzzy Systems

Volumn 16, Issue 5, 2008, Pages 1130-1141

  Tsang, Eric C C ^a   Chen, Degang ^b   Yeung, Daniel S ^a   Wang, Xi Zhao ^c   Lee, John W T ^a  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b NORTH CHINA ELECTRIC POWER UNIVERSITY   (China)

^c HEBEI UNIVERSITY   (China)

Author keywords

Attributes reduction; Fuzzy rough sets; Rough sets

Indexed keywords

FUZZY SETS; MATHEMATICAL OPERATORS; SET THEORY;

APPROXIMATION OPERATORS; ATTRIBUTES REDUCTION; ATTRIBUTES REDUCTIONS; DISCERNIBILITY MATRIXES; FORMAL CONCEPTS; FUZZY ROUGH SETS; MATHEMATICAL FOUNDATIONS; ROUGH SETS; SET UPS;

ROUGH SET THEORY;

EID: 54349129618     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2006.889960     Document Type: Article

References (25)

1. Z. Pawlak, "Rough sets," Int. J. Comput. Inform. Sci., vol. 11, no. 5, pp. 341-356, 1982.
2. A. Skowron and L. Polkowski, Rough Sets in Knowledge Discovery. Berlin, Germany: Springer-Verlag, 1998, vol. 1,2.
3. R. Slowinski, Ed., Intelligent Decision Support: Handbook of Applications and Advances of the Rough Sets Theory. Boston, MA: Kluwer, 1992.
4. W. P. Ziarko, Ed., Rough Sets, Fuzzy Sets and Knowledge Discovery. London, U.K.: Springer-Verlag, 1994, Workshop in Computing.
5. R. Jensen and Q. Shen, "Fuzzy-rough attributes reduction with application to web categorization," Fuzzy Sets Syst., vol. 141, pp. 469-485, Feb. 2004.
6. D. S. Yueng, C. Degang, E. C. C. Tsang, J. W. T. Lee, and W. Xizhao, "On the generalization of fuzzy rough sets," IEEE Trans. Fuzzy Syst., vol. 13, no. 3, pp. 343-361, Jun. 2005.
7. A. Skowron and C. Rauszer, "The discernibility matrices and functions in information systems," in Intelligent Decision Support, Handbook of Applications and Advances of the Rough Sets Theory, R. Slowinski, Ed. Norwell, MA: Kluwer, 1992.
8. J. M. F. Salido and S. Murakami, "Rough set analysis of a general type of fuzzy data using transitive aggregations of fuzzy similarity relations," Fuzzy Sets Syst., vol. 139, pp. 635-660, Nov. 2003.
9. D. Dubois and H. Prade, "Rough fuzzy sets and fuzzy rough sets," Int. J. Gen. Syst., vol. 17, no. 2-3, pp. 191-209, 1990.
10. D. Dubois and H. Prade, Putting Rough Sets and Fuzzy Sets Together, Intelligent Decision Support, Handbook of Applications and Advances of the Rough Sets Theory, R. Slowinski, Ed. Norwell, MA: Kluwer, 1992.
11. W.-Z. Wu and W.-X. Zhang, "Constructive and axiomatic approaches of fuzzy approximation operators," Inform. Sci., vol. 159, no. 3-4, pp. 233-254, Feb. 2004.
12. W.-Z. Wu, J.-S. Mi, and W.-X. Zhang, "Generalized fuzzy rough sets," Inform. Sci., vol. 151, pp. 263-282, May 2003.
13. N. N. Morsi and M. M. Yakout, "Axiomatics for fuzzy rough sets," Fuzzy Sets Syst., vol. 100, pp. 327-342, Nov. 1998.
14. J.-S. Mi and W.-X. Zhang, "An axiomatic characterization of a fuzzy generalization of rough sets," Inform. Sci., vol. 160, no. 1-4, pp. 235-249, Mar. 2004.
15. A. M. Radzikowska and E. E. Kerre, "A comparative study of fuzzy rough sets," Fuzzy Sets Syst., vol. 126, pp. 137-155, Mar. 2002.
16. R. B. Bhatt and M. Gopal, "On fuzzy rough sets approach to feature selection," Pattern Recogn. Lett., vol. 26, no. 7, pp. 965-975, May 2005.
17. [Online]. Available: http://www.ics.uci.edu/~mlearn/MLRepository. html
18. Y. Yuan and M. J. Shaw, "Introduction of fuzzy decision tree," Fuzzy Sets Syst., vol. 69, pp. 125-139, Jan. 1995.
19. B. Kosko, "Fuzzy entropy and conditioning," Inform. Sci., vol. 40, no. 2, pp. 165-174, Dec. 1986.
20. S. Greco, M. Inuiguchi, and R. Slowinski, "A new proposal for fuzzy rough approximations and gradual decision rule representation," Trans. Rough Sets, pp. 319-342, 2004.
21. G. Cattaneo, "Fuzzy extension of rough sets theory," RSCTC'98, LNAI 1424, pp. 275-282, 1998.
22. W. Ziarko, "Variable precision rough set model," J. Comput. Syst. Sci., vol. 46, pp. 39-59, Feb. 1993.
23. Y. Y. Yao, "Combination of rough and fuzzy sets based on 301-321.
24. H. S. Nguyen, "Discretization problem for rough sets methods," in RSCTS98, LNAI 1424, 1998, pp. 545-552.
25. H. S. Nguyen and A. Skowron, "Quantization of real value attributes," in Proc. 2nd Annu. Joint Conf. Inform. Sci., Wrightsville Beach, NC, 1995, pp. 34-37.