Fuzzy rough set model for set-valued data

Fuzzy Sets and Systems

Volumn 229, Issue , 2013, Pages 54-68

  Dai, Jianhua ^a   Tian, Haowei ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Attribute reduction; Discernibility function; Discernibility matrix; Fuzzy rough set model; Set valued data

Indexed keywords

ATTRIBUTE REDUCTION; DISCERNIBILITY FUNCTION; DISCERNIBILITY MATRIX; FUZZY-ROUGH SETS; SET-VALUED DATUM;

INFORMATION SYSTEMS;

ROUGH SET THEORY;

EID: 84881476765     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2013.03.005     Document Type: Article

References (36)

1. D.G. Chen, S. Kwong, Q. He, and H. Wang Geometrical interpretation and applications of membership functions with fuzzy rough sets Fuzzy Sets Syst. 193 2012 122 135
2. I. Couso, and D. Dubois Rough sets, coverings and incomplete information Fund. Inf. 108 2011 223 247
3. J. Dai, W. Wang, Q. Xu, and H. Tian Uncertainty measurement for interval-valued decision systems based on extended conditional entropy Knowl. Based Syst. 27 2012 443 450
4. J. Dai, and Q. Xu Approximations and uncertainty measures in incomplete information systems Inf. Sci. 198 2012 62 80
5. J. Dai, and Q. Xu Attribute selection based on information gain ratio in fuzzy rough set theory with application to tumor classification Appl. Soft Comput. 13 2013 211 221
6. J. Dai, Q. Xu, and W. Wang A comparative study on strategies of rule induction for incomplete data based on rough set approach Int. J. Advancements Comput. Technol. 3 2011 176 183
7. J. Dai, Q. Xu, W. Wang, and H. Tian Conditional entropy for incomplete decision systems and its application in data mining Int. J. Gen. Syst. 41 2012 713 728
8. D. Dubois, and H. Prade Rough fuzzy sets and fuzzy rough sets Int. J. Gen. Syst. 17 1990 191 209
9. D. Dubois, and H. Prade Putting rough sets and fuzzy sets together Intelligent Decision Support 1992 203 232
10. D. Dubois, and H. Prade Gradualness, uncertainty and bipolarity making sense of fuzzy sets Fuzzy Sets Syst. 192 2012 3 24
11. A. Frank, A. Asuncion, UCI Machine Learning Repository, 〈 http://archive.ics.uci.edu/ml âŒ, 2010.
12. J.W. Grzymala-Busse, On the unknown attribute values in learning from examples, in: Lecture Notes in Computer Science, vol. 542, 1991, pp. 368-377.
13. J.W. Grzymala-Busse Data with missing attribute values generalization of indiscernibility relation and rule induction Trans. Rough Sets 1 2004 78 95
14. Y.Y. Guan, and H. Wang Set-valued information systems Inf. Sci. 176 2006 2507 2525
15. R. Jensen, and Q. Shen Fuzzy-rough attribute reduction with application to web categorization Fuzzy Sets Syst. 141 2004 469 485
16. M. Kryszkiewicz, Rough set approach to incomplete information systems, in: Proceedings of the Second Annual Joint Conference on Information Sciences, 1995, pp. 194-197.
17. M. Kryszkiewicz Rough set approach to incomplete information systems Inf. Sci. 112 1998 39 49
18. M. Kryszkiewicz Rules in incomplete information systems Inf. Sci. 113 1999 271 292
19. W.J. Lipski On semantic issues connected with incomplete information databases ACM Trans. Database Syst. 4 1979 269 296
20. W.J. Lipski On databases with incomplete information J. ACM 28 1981 41 70
21. P. Maji Fuzzy-rough supervised attribute clustering algorithm and classification of microarray data IEEE Trans. Syst. Man Cybern. Part B Cybern. 41 2011 222 233
22. P. Maji, S.K. Pal (Eds.), Rough-Fuzzy Pattern Recognition: Application in Bioinformatics and Medical Imaging, Wiley, IEEE Computer Society Press, 2012.
23. E. Orlowska Logic of nondeterministic information Studia Logica Int. J. Symbolic Logic 44 1985 91 100
24. E. Orlowska, and Z. Pawlak Representation of non-deterministic information Theor. Comput. Sci. 29 1984 27 39
25. S.K. Pal Computational Theory Perception (CTP), rough-fuzzy uncertainty analysis and mining in bioinformatics and web intelligence a unified framework Trans. Rough Sets 11 2010 106 129
26. S.K. Pal, and J.F. Peters Rough Fuzzy Image Analysis Foundations and Methodologies 2010 Chapman & Hall, CRC Boca Raton, FL
27. S.K. Pal, and A. Skowron Rough-Fuzzy Hybridization A New Trend in Decision Making 1999 Springer Verlag Singapore
28. Z. Pawlak Rough Sets Theoretical Aspects of Reasoning about Data 1991 Kluwer Academic Publishers Dordrecht, Boston
29. Z. Pawlak, and A. Skowron Rudiments of rough sets Inf. Sci. 177 2007 3 27
30. Y.H. Qian, C. Dang, J.Y. Liang, and D. Tang Set-valued ordered information systems Inf. Sci. 179 2009 2809 2832
31. Q. Shen, and R. Jensen Selecting informative features with fuzzy-rough sets and its application for complex systems monitoring Pattern Recognition 37 2004 1351 1363
32. A. Skowron Extracting laws from decision tables a rough set approach Comput. Intell. 11 1995 371 388
33. Y.F. Wang Mining stock price using fuzzy rough set system Expert Syst. Appl. 24 2003 13 23
34. Y.Y. Yao Information granulation and rough set approximation Int. J. Intelligent Syst. 16 2001 87 104
35. Y.Y. Yao, N. Noroozi, A unified framework for set-based computations, in: Proceedings of the 3rd International Workshop on Rough Sets and Soft Computing, 1994, pp. 10-12.
36. L. Zadeh Fuzzy sets Inf. Control 8 1965 338 353