Graded rough set model based on two universes and its properties

Knowledge-Based Systems

Volumn 33, Issue , 2012, Pages 65-72

  Liu, Caihui ^a,b   Miao, Duoqian ^a   Zhang, Nan ^a  

^a TONGJI UNIVERSITY   (China)

^b GANNAN NORMAL UNIVERSITY   (China)

Author keywords

Approximation operators; Grade; Relation matrix; Rough sets; Two universes of discourse

Indexed keywords

APPROXIMATION OPERATORS; GRADE; RELATION MATRIX; ROUGH SET; UNIVERSES OF DISCOURSE;

APPROXIMATION ALGORITHMS;

ROUGH SET THEORY;

EID: 84861643215     PISSN: 09507051     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.knosys.2012.02.012     Document Type: Article

References (44)

1. Z. Pawlak Rough sets International Journal of Computer and Information Science 11 1982 41 356
2. Z. Pawlak, and A. Skowron Rudiments of rough sets Information Sciences 177 1 2007 3 27
3. Q. Liu Rough Sets and Rough Reasoning 2001 Science Press Beijing
4. G.Y. Wang Rough Set Theory and Knowledge Acquisition 2001 Xi'an Jiaotong University Press Xi'an
5. L. Polkowski Rough sets: mathematical foundations Advances in Soft Computing 2002 Physica-Verlag Heidelberg
6. W.X. Zhang, W.Z. Wu, and J.Y. Liang Rough Set Theory and Methods 2003 Science Press Beijing
7. D.Q. Miao, and D.G. Li Rough Set Theory Algorithms and Applications 2008 Tsinghua University Press Beijing
8. Y.Y. Yao, S.K. Wong, and P. Lingras A decision-theoretic rough set model Z.W. Ras, M. Zemankova, M.L. Emrich, Methodologies for Intelligent Systems vol. 5 1990 North-Holland New York 17 24
9. Y.Y. Yao, Decision-theoretic rough set models, in: Proceedings of RSKT 2007, LNAI 4481, 2007, pp. 1-12.
10. Y.Y. Yao, and T.Y. Lin Generalization of rough sets using modal logic Intelligent Automation and Soft Computing 2 2 1996 103 120
11. 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 1997 Verlag Mainz Aachen 196 200
12. Y.Y. Yao Generalized rough set models L. Polkowski, A. Skowron, Rough Sets in Knowledge Discovery 1998 Physica-Verlag Heidelberg 286 318
13. D.W. Pei, and Z.B. Xu Transformation of rough set models Knowledge-Based Systems 20 2007 745 751
14. W. Zhu Generalized rough sets based on relations Information Sciences 177 22 2007 4997 5011
15. A. Skowron, and J. Stepanium Tolerance approximation spaces Fundamenta Informaticae 27 1996 245 253
16. R. Slowinski, and J. Stefanowski Rough-set reasoning about uncertain data Fundamenta Informaticae 27 1996 229 243
17. M. Kryszkiewicz Rough set approach to incomplete information systems Information Sciences 112 1998 39 49
18. W. Zakowski Axiomatization in the space (U,π) Demonstratio Mathematica XVI 1983 761 769
19. Z. Bonikowski, E. Bryniariski, and U.W. Skardowska Extension and intentions in the rough set theory Information Sciences 107 1998 149 167
20. W. Zhu, and F.Y. Wang Reduction and axiomatization of covering generalized rough sets Information Sciences 152 2003 17 230
21. D. Dubois, and H. Prade Rough fuzzy sets and fuzzy rough sets International Journal of General Systems 17 1990 191 209
22. W. Ziarko Variable precision rough set model Journal of Computer and System Science 46 1 1993 39 59
23. W. Ziarko Analysis of uncertain information in the framework of variable precision rough sets Foundations of Computing and Decision Sciences 18 1993 381 396
24. S.K. Wong, L.S.Wang, Y.Y. Yao, Interval structure: a framework for representing uncertain information, in: Proceeding of UAI'92, 1992, pp. 336-343.
25. W.Z. Wu, J.S. Mi, and W.X. Zhang Generalized fuzzy rough sets Information Sciences 15 2003 263 282
26. D.W. Pei, and Z.B. Xu Rough set models on two universes International Jounal of General Systems 33 5 2004 569 581
27. T.J. Li, and W.X. Zhang Rough fuzzy approximation on two univeses of discourse Information Sciences 118 2008 892 906
28. G.L. Liu Rough set theory based on two universal sets and its applications Knowledge-Based Systems 23 2 2010 110 115
29. R.X. Yan, J.G. Zheng, and J.L. Liu Research on the model of rough set over dual-universes Knowledge-Based Systems 23 8 2010 817 822
30. Y. Shen, and F. Wang Variable precision rough set model over two universes and its properties Soft Computing 15 3 2011 557 567
31. S. Tsumcto Automated extraction of medical expert system rules from clinical databases based on rough set theory Information Sciences 112 1998 67 84
32. T.R. Li, D. Ruan, and W. Geert A rough set based characteristic relation approach for dynamic attribute generalization in data mining Knowledge-Based Systems 20 5 2007 485 494
33. J.S. Mi, Y. Leung, and W.Z. Wu Approaches to attribute reduction in concept lattices induced by axialities Knowledge-Based Systems 23 6 2010 504 511
34. Y.H. Qian, J.Y. Liang, and D.Y. Li Approximation reduction in inconsistent incomplete decision tables Knowledge-Based Systems 23 5 2010 427 433
35. L. Feng, T.R. Li, and D. Ruan A vague-rough set approach for uncertain knowledge acquisition Knowledge-Based Systems 24 6 2011 837 843
36. H.Y. Zhang, W. X Zhang, and W.Z. Wu On characterization of generalized interval-valued fuzzy rough sets on two universes of discourse International Journal of Approximate Reasoning 51 2009 56 70
37. W.M. Ma, B.Z. Sun, On relationship between probabilistic rough set and Bayesian risk decision over two universes, International Journal of General Systems, doi:10.1080/03081079.2011.634067.
38. Q.H. Hu, J.F. Liu, and D.R. Yu Mixed feature selection based on granulation and approximation Knowledge-Based Systems 21 4 2008 294 304
39. J.F. Liu, Q.H. Hu, and D.R. Yu A comparative study on rough set based class imbalance learning Knowledge-Based Systems 21 8 2008 753 763
40. L.P. An, and L.Y. Tong Rough approximations based on intersection of indiscernibility, similarity and outranking relations Knowledge-Based Systems 23 6 2010 555 562
41. Y.M. Chen, D.Q. Miao, and R.Z. Wang A rough set approach to feature selection based on power set tree Knowledge-Based Systems 24 2 2011 275 281
42. Q. He, C.X. Wu, and D.G. Chen Fuzzy rough set based attribute reduction for information systems with fuzzy decisions Knowledge-Based Systems 24 5 2011 689 696
43. X.B. Yang, M. Zhang, and H.L. Dou Neighborhood systems-based rough sets in incomplete information system Knowledge-Based Systems 24 6 2011 858 867
44. B. Huang Graded dominance interval-based fuzzy objective information systems Knowledge-Based Systems 24 7 2011 1004 1012