On multi-granulation covering rough sets

International Journal of Approximate Reasoning

Volumn 55, Issue 6, 2014, Pages 1404-1418

  Liu, Caihui ^a,b   Miao, Duoqian ^b   Qian, Jin ^c  

^a GANNAN NORMAL UNIVERSITY   (China)

^b TONGJI UNIVERSITY   (China)

^c JIANGSU UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Covering; Lower and upper approximations; Multi granulation; Reduct; Rough sets

Indexed keywords

APPROXIMATION ALGORITHMS; GRANULATION;

APPROXIMATION SPACES; COVERING; LOWER AND UPPER APPROXIMATIONS; MULTI-GRANULATION ROUGH SETS; MULTI-GRANULATIONS; REDUCT; UNIVERSE OF DISCOURSE; UPPER APPROXIMATION;

ROUGH SET THEORY;

EID: 84901761799     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2014.01.002     Document Type: Article

References (44)

1. Z. Pawlak Rough sets Int. J. Comput. Inf. Sci. 11 1982 341 356
2. Y.Y. Yao, and T.Y. Lin Graded rough set approximations based on nested neighborhood systems Proceedings of 5th European Congress on Intelligent Techniques and Soft Computing, vol. 1 1997 Aachen Verlag Mainz 196 200
3. Y.Y. Yao Perspectives of granular computing Proceedings of 2005 IEEE International Conference on Granular Computing, vol. 1 2005 85 90
4. Y.Y. Yao, and B. Yao Covering based rough set approximations Inf. Sci. 200 2012 91 107
5. W. Zakowski Approximations in the space (U, Π) Demonstr. Math. 16 1983 761 769
6. Z. Bonikowski, E. Bryniarski, and U.W. Skardowska Extension and intentions in the rough set theory Inf. Sci. 107 1998 149 167
7. E. Tsang, D. Cheng, J. Lee, and D. Yeung On the upper approximations of covering generalized rough sets Proceedings of the 3rd International Conference on Machine Learning and Cybernetics 2004 4200 4203
8. W. Zhu, and F.Y. Wang Reduction and axiomatization of covering generalized rough sets Inf. Sci. 152 2003 217 230
9. W. Zhu Generalized rough sets based on relations Inf. Sci. 177 22 2007 4997 5011
10. L.A. Zadeh Toward a theory of fuzzy information granulation and its centrality in human reasoning and fuzzy logic Fuzzy Sets Syst. 90 1997 111 127
11. Y.H. Qian, and J.Y. Liang Rough set method based on multi-granulations Proc. 5th IEEE International Conference on Cognitive Informatics Beijing, China, July 17-19 2006 297 304
12. Y.H. Qian, J.Y. Liang, Y.Y. Yao, and C.Y. Dang MGRS: A multi-granulation rough set Inf. Sci. 180 2010 949 970
13. Y.H. Qian, J.Y. Liang, and C.Y. Dang Incomplete multigranulation rough set IEEE Trans. Syst. Man Cybern., Part A 20 2010 420 430
14. Y.H. Qian, J.Y. Liang, W. Pedrycz, and C.Y. Dang Positive approximation: an accelerator for attribute reduction in rough set theory Artif. Intell. 174 2010 597 618
15. X.B. Yang, X.N. Song, Z.H. Chen, and J.Y. Yang On multigranulation rough sets in incomplete information system Int. J. Mach. Learn. Cybern. 3 2011 223 232
16. X.B. Yang, X.N. Song, H.L. Dou, and J.Y. Yang Multi-granulation rough set: from crisp to fuzzy case Ann. Fuzzy Math. Inform. 1 1 2011 55 70
17. X.B. Yang, Y.H. Qian, and J.Y. Yang Hierarchical structures on multigranulation spaces J. Comput. Sci. Technol. 27 6 2012 1169 1183
18. C.H. Liu, and D.Q. Miao Covering rough set model based on multi-granulations Proceedings of the Thirteenth International Conference on Rough Sets, Fuzzy Set, Data Mining and Granular Computing LNCS (LNAI) vol. 6743 2011 87 90
19. C.H. Liu, and M.Z. Wang Covering fuzzy rough set based on multi-granulations Proceedings of International Conference on Uncertainty Reasoning and Knowledge Engineering, vol. 2 2011 146 149
20. G.P. Lin, Y.H. Qian, and J.J. Li NMGRS: Neighborhood-based multigranulation rough sets Int. J. Approx. Reason. 53 7 2012 1080 1093
21. W.H. Xu, Q.R. Wang, and X.T. Zhang Multi-granulation fuzzy rough set model on tolerance relations Proceedings of the Fourth International Workshop on Advanced Computational Intelligence Wuhan, Hubei, China, October 19-21 2006 357 364
22. W.H. Xu, W.X. Sun, X.Y. Zhang, and W.X. Zhang Multiple granulation rough set approach to ordered information systems Int. J. Gen. Syst. 41 5 2012 475 501
23. W.H. Xu, and W.X. Zhang Measuring roughness of generalized rough sets induced by a covering Fuzzy Sets Syst. 158 2007 2443 2455
24. W.H. Xu, Q.R. Wang, Multi-granulation fuzzy rough sets, J. Intell. Fuzzy Syst., http://dx.doi.org/10.3233/IFS-130818.
25. W.H. Xu, Q.R. Wang, and X.T. Zhang Multi-granulation rough sets based on tolerance relations Soft Comput. 17 7 2013 1241 1252
26. W.H. Xu, Q.R. Wang, and X.T. Zhang Multi-granulation fuzzy rough sets in a fuzzy tolerance approximation space Int. J. Fuzzy Syst. 13 4 2011 246 259
27. W.H. Xu, X.T. Zhang, and Q.R. Wang A Generalized Multi-Granulation Rough Set Approach Lecture Notes in Bioinformatics vol. 6840 2012 681 689
28. Y.H. She, and X.L. He On the structure of the multigranulation rough set model Knowl.-Based Syst. 36 2012 81 92
29. D.W. Pei, and Z.B. Xu Transformation of rough set models Knowl.-Based Syst. 20 2007 745 751
30. A. Skowron, and J. Stepaniuk Tolerance approximation spaces Fundam. Inform. 27 1996 245 253
31. R. Slowinski, and J. Stefanowski Rough-set reasoning about uncertain data Fundam. Inform. 27 1996 229 243
32. M. Kryszkiewicz Rough set approach to incomplete information systems Inf. Sci. 112 1998 39 49
33. D. Dubois, and H. Prade Rough fuzzy sets and fuzzy rough sets Int. J. Gen. Syst. 17 1990 191 209
34. W. Ziarko Variable precision rough set model J. Comput. Syst. Sci. 46 1 1993 39 59
35. W. Ziarko Analysis of uncertain information in the framework of variable precision rough sets Found. Comput. Decision Sci. 18 1993 381 396
36. J.A. Pomykala Approximation operations in approximation space Bull. Polish Acad. Sci. 35 9-10 1987 653 662
37. J. Mordeson Rough set theory applied to (fuzzy) ideal theory Fuzzy Sets Syst. 121 2001 315 324
38. G. Birkhoff Lattice Theory 1995 American Mathematics Society
39. J.Y. Liang, F. Wang, C.Y. Dang, and Y.H. Qian An efficient rough feature selection algorithm with a multi-granulation view Int. J. Approx. Reason. 53 6 2012 912 926
40. L.W. Ma On some types of neighborhood-related covering rough sets Int. J. Approx. Reason. 53 6 2012 901 911
41. P. Zhu, and Q.Y. Wen Entropy and co-entropy of a covering approximation space Int. J. Approx. Reason. 53 4 2012 528 540
42. P. Zhu Covering rough sets based on neighborhoods: an approach without using neighborhoods Int. J. Approx. Reason. 52 3 2011 461 472
43. G.P. Lin, J.Y. Liang, and Y.H. Qian Multigranulation rough sets: from partition to covering Inf. Sci. 241 2013 101 118
44. Y.H. Qian, H. Zhang, Y.L. Sang, and J.L. Liang Multigranulation decision-theoretic rough sets Int. J. Approx. Reason. 55 1 2014 225 237