FRSVMs: Fuzzy rough set based support vector machines

Fuzzy Sets and Systems

Volumn 161, Issue 4, 2010, Pages 596-607

  Chen, Degang ^a   He, Qiang ^b   Wang, Xizhao ^b  

^a NORTH CHINA ELECTRIC POWER UNIVERSITY   (China)

^b HEBEI UNIVERSITY   (China)

Author keywords

Fuzzy membership; Fuzzy relations; Fuzzy rough sets; Fuzzy transitive kernels; Support vector machines

Indexed keywords

BINARY CLASSIFICATION; FUZZY MEMBERSHIP; FUZZY RELATIONS; FUZZY-ROUGH SETS; LOWER APPROXIMATION; SOFT MARGINS; TRAINING SAMPLE;

FUZZY SETS; PERSONNEL TRAINING; SUPPORT VECTOR MACHINES; VECTORS;

ROUGH SET THEORY;

EID: 72149117641     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2009.04.007     Document Type: Article

References (24)

1. Chen D.G., He Q., and Wang X.Z. On linear separability of data sets in feature space. Neurocomputing 70 13-15 (2007) 2441-2448
2. Dubois D., and Prade H. Rough fuzzy sets and fuzzy rough sets. Int. J. Gen. Syst. 17 (1990) 191-209
3. Dubois D., and Prade H. In: Slowinski R. (Ed). Putting Rough Sets and Fuzzy Sets Together, Intelligent Decision support, Handbook of Applications and Advances of the Rough Sets theory (1992), Kluwer Academic Publishers, Drodrecht
4. Fernandez Salido J.M., and Murakami S. Set analysis of a general type of fuzzy data using transitive aggregations of fuzzy similarity relations. Fuzzy Sets and Systems 139 (2003) 635-660
5. Hassanien A. Fuzzy rough sets hybrid scheme for breast cancer detection. Image Vision Comput. 25 2 (2007) 172-183
6. Huang H.P., and Liu Y.H. Fuzzy support vector machines for pattern recognition and data mining. Int. J. Fuzzy Syst. 4 (2002) 826-835
7. Jensen R., and Shen Q. Fuzzy-rough attributes reduction with application to web categorization. Fuzzy Sets and Systems 141 (2004) 469-485
8. Lin C.F., and Wang S.D. Fuzzy support vector machine. IEEE Trans. Neural Networks 13 2 (2002) 464-471
9. Liu M., Chen D.G., Wu C., and Li H.X. Fuzzy reasoning based on a new fuzzy rough set and its application to scheduling problems. Comput. Math. Appl. 51 9-10 (2006) 1507-1518
10. Mi J.S., and Zhang W.X. An axiomatic characterization of a fuzzy generalization of rough sets. Inf. Sci. 160 1-4 (2004) 235-249
11. Moser B. On the T-transitivity of kernels. Fuzzy Sets and Systems 157 (2006) 1787-1796
12. Moser B. On representing and generating kernels by fuzzy equivalence relations. J. Mach. Learn. Res. 7 (2006) 2603-2620
13. Morsi N.N., and Yakout M.M. Axiomatics for fuzzy rough sets. Fuzzy Sets and Systems 100 (1998) 327-342
14. Pawlak Z. Rough Sets International. J. Comput. Inf. Sci. 11 5 (1982) 341-356
15. Radzikowska A.M., and Kerre E.E. A comparative study of fuzzy rough sets. Fuzzy Sets and Systems 126 (2002) 137-155
16. Sarkar M. Ruggedness measures of medical time series using fuzzy-rough sets and fractals. Pattern Recognition Lett. 27 5 (2006) 447-454
17. Scholkopf B., and Smola A.J. Learning with Kernels (2002), The MIT Press, Cambridge
18. Vapnik V.N. The Nature of Statistical Learning Theory (1995), Springer, New York
19. UCI Repository of Machine Learning Databases and Domain Theories, FTP address: 〈ftp://ftp.ics.uci.edu/pub/machine-learning-databases〉.
20. Wang Y.Q., Wang S.Y., and Lai K.K. A new fuzzy support vector machine to evaluate credit risk. IEEE Trans. Fuzzy Syst. 13 (2005) 820-831
21. Wu W.Z., Mi J.S., and Zhang W.X. Generalized fuzzy rough sets. Inf. Sci. 151 (2003) 263-282
22. Wu W.Z., and Zhang W.X. Constructive and axiomatic approaches of fuzzy approximation operators. Inf. Sci. 159 3-4 (2004) 233-254
23. Yueng D.S., Chen D.G., Tsang E.C.C., Lee J.W.T., and Wang X.Z. On the generalization of fuzzy rough sets. IEEE Trans. Fuzzy Syst. 13 (2005) 343-361
24. Zhang J.H., and Wang Y.Y. A rough margin based support vector machine. Inf. Sci. 178 (2008) 2204-2214