Membership evaluation and feature selection for fuzzy support vector machine based on fuzzy rough sets

Soft Computing

Volumn 15, Issue 6, 2011, Pages 1105-1114

  He, Qiang ^a   Wu, Congxin ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Feature selection; Fuzzy membership; Fuzzy rough sets; Fuzzy support vector machines

Indexed keywords

ATTRIBUTE REDUCTION; DATA SETS; DECISION CLASS; FEATURE SELECTION; FUZZY MEMBERSHIP; FUZZY ROUGH SET THEORY; FUZZY SUPPORT VECTOR MACHINES; FUZZY-ROUGH SETS; GAUSSIANS; TRAINING SAMPLE;

FEATURE EXTRACTION; FUZZY SET THEORY; GEARS; SUPPORT VECTOR MACHINES;

ROUGH SET THEORY;

EID: 79956195274     PISSN: 14327643     EISSN: 14337479     Source Type: Journal    
DOI: 10.1007/s00500-010-0577-z     Document Type: Article

References (27)

1. Chen D, He Q, Wang X (2007) On linear separability of data sets in feature space. Neurocomputing 70(13-15): 2441-2448.
2. Dubois D, Prade H (1990) Rough fuzzy sets and fuzzy rough sets. Int J Gen Syst 17: 191-209.
3. Dubois D, Prade H (1992) Putting rough sets and fuzzy sets together. In: Slowinski R (ed) Intelligent decision support, handbook of applications and advances of the rough sets theory. Kluwer, Dordrecht.
4. Fernandez S, Murakami S (2003) Rough set analysis of a general type of fuzzy data using transitive aggregations of fuzzy similarity relations. Fuzzy Sets Syst 139: 635-660.
5. Hassanien A (2007) Fuzzy rough sets hybrid scheme for breast cancer detection. Image Vis Comput 25(2): 172-183.
6. He Z (1983) Fuzzy mathematics and its applications. Tianjing Science Press, Tianjing.
7. Hu Q, Yu D, Xie Z, Liu J (2006) Fuzzy probabilistic approximation spaces and their information measures. IEEE Trans Fuzzy Syst 14(2): 191-201.
8. Hu Q, Xie Z, Yu D (2007) Hybrid attribute reduction based on a novel fuzzy-rough model and information granulation. Pattern Recogn 40: 3509-3521.
9. Huang H, Liu Y (2002) Fuzzy support vector machines for pattern recognition and data mining. Int J Fuzzy Syst 4: 826-835.
10. Jensen R, Shen Q (2004) Fuzzy-rough attributes reduction with application to web categorization. Fuzzy Sets Syst 141: 469-485.
11. Lin C, Wang S (2003) Fuzzy support vector machine. IEEE Trans Neural Netw 13(2): 464-471.
12. Liu S, Du Z (2007) An improved fuzzy support vector machine method. CAAI Trans Intell Syst 2(3): 30-33.
13. Liu M, Chen D, Wu C, Li H (2006) Fuzzy reasoning based on a new fuzzy rough set and its application to scheduling problems. Comput Math Appl 51(9-10): 1507-1518.
14. Mi J, Zhang W (2004) An axiomatic characterization of a fuzzy generalization of rough sets. Inf Sci 160(1-4): 235-249.
15. Morsi N, Yakout M (1998) Axiomatics for fuzzy rough sets. Fuzzy Sets Syst 100: 327-342.
16. Moser B (2006a) On the T-transitivity of kernels. Fuzzy Sets Syst 157: 1787-1796.
17. Moser B (2006b) On representing and generating kernels by fuzzy equivalence relations. J Mach Learn Res 7: 2603-2620.
18. Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11(5): 341-356.
19. Radzikowska A, Kerre E (2002) A comparative study of fuzzy rough sets. Fuzzy Sets Syst 126: 137-155.
20. Sarkar M (2006) Ruggedness measures of medical time series using fuzzy-rough sets and fractals. Pattern Recogn Lett 27(5): 447-454.
21. Scholkopf B, Smola A (2002) Learning with kernels. The MIT Press, London.
22. Vapnik V (1995) The nature of statistical learning theory. Springer, New York.
23. Wang X, Yang J (2006) Richard Jensen and Xiaojun Liu, rough set feature selection and rule induction for prediction of malignancy degree in brain glioma. Comput Methods Programs Biomed 83(2): 147-156.
24. Wang Y, Wang S, Lai K (2005) A new fuzzy support vector machine to evaluate credit risk. IEEE Trans Fuzzy Syst 13: 820-831.
25. Wu W, Zhang W (2004) Constructive and axiomatic approaches of fuzzy approximation operators. Inf Sci 159(3-4): 233-254.
26. Wu W, Mi J, Zhang W (2003) Generalized fuzzy rough sets. Inf Sci 151: 263-282.
27. Yueng D, Chen D, Tsang EL et al (2005) On the generalization of fuzzy rough systems. IEEE Trans Fuzzy Syst 13: 343-361.