Generalized rough sets over fuzzy lattices

Information Sciences

Volumn 178, Issue 6, 2008, Pages 1651-1662

  Liu, Guilong ^a  

^a BEIJING LANGUAGE AND CULTURE UNIVERSITY   (China)

Author keywords

Approximation operators; Axioms; Fuzzy lattices; Generalized rough sets; Rough sets

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; ROUGH SET THEORY;

APPROXIMATION OPERATORS; AXIOMS; FUZZY LATTICES;

FUZZY LOGIC;

EID: 38349050365     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2007.11.010     Document Type: Article

References (40)

1. Banerjee M., and Pal S.K. Roughness of a fuzzy set. Information Sciences 93 (1996) 235-246
2. Chen D., Zhang W., Yeung D., and Tsang E.C.C. Rough approximations on a complete completely distributive lattice with applications to generalized rough sets. Information Sciences 176 (2006) 1829-1848
3. Cock M.D., Cornelis C., and Kerre E.E. Fuzzy rough sets: the forgotten step. IEEE Transactions on Fuzzy Systems 15 (2007) 121-130
4. Dubois D., and Prade H. Rough fuzzy sets and fuzzy rough sets. International Journal of General System 17 (1990) 191-208
5. Goguen J.A. L-fuzzy sets. Journal of Mathematical Analysis and Applications 18 (1967) 145-174
6. Jensen R., and Shen Q. Fuzzy rough sets assisted attribute selection. IEEE Transactions on Fuzzy Systems 15 (2007) 73-89
7. Lin T.Y., and Liu Q. Rough approximate operators: axiomatic rough set theory. In: Ziarko W. (Ed). Rough Sets, Fuzzy Sets and Knowledge Discovery (1994), Springer, Berlin 256-260
8. Liu G.L. The axiomatization of the rough set upper approximation operations. Fundamenta Informaticae 69 (2006) 331-342
9. Mi J.S., and Zhang W.X. An axiomatic characterization of a fuzzy generalization of rough sets. Information Sciences 160 1-4 (2004) 235-249
10. Morsi N.N., and Yakout M.M. Axiomatics for fuzzy rough sets. Fuzzy Sets and Systems 100 (1998) 327-342
11. Nanda S., and Majumdar S. Fuzzy rough sets. Fuzzy Sets and Systems 45 (1992) 157-160
12. Pal S., and Mitra P. Case generation using rough sets with fuzzy representation. IEEE Transactions on Knowledge and Data Engineering 16 3 (2004) 292C300
13. Pawlak Z. Rough sets. International Journal of Computer and Information Sciences 11 (1982) 341-356
14. Pawlak Z. Rough Sets - Theoretical Aspects of Reasoning about Data (1991), Kluwer Academic Publishers, Boston, MA
15. Pawlak Z., and Skowron A. Rudiments of rough sets. Information Sciences 177 1 (2007) 3-27
16. Pawlak Z., and Skowron A. Rough sets: some extensions. Information Sciences 177 1 (2007) 28-40
17. Pawlak Z., and Skowron A. Rough sets and boolean reasoning. Information Sciences 177 1 (2007) 41-73
18. In: Polkowski L., and Skowron A. (Eds). Rough sets in knowledge discovery 1. Methodology and applications. Studies in Fuzzy and Soft Computing vol. 18 (1998), Physica-Verlag, Heidelberg
19. In: Polkowski L., and Skowron A. (Eds). Rough sets in knowledge discovery 2. Applications, case studies and software systems. Studies in Fuzzy and Soft Computing vol. 19 (1998), Physica-Verlag, Heidelberg
20. Pei D. A generalized model of fuzzy rough sets. International Journal of General System 34 (2005) 603-613
21. Qi G., and Liu W. Rough operations on Boolean algebras. Information Sciences 173 (2005) 49-63
22. Radzikowska A.M., and Kerre E.E. Fuzzy rough sets based on residuated lattices. Transactions on Rough Sets, Lecture Notes in Computer Sciences 3135 (2004) 278-296
23. Radzikowska A.M., and Kerre E.E. A comparative study of fuzzy rough sets. Fuzzy Sets and Systems 126 (2001) 137-155
24. Slezak D., and Ziarko W. The investigation of the Bayesian rough set model. International Journal of Approximate Reasoning 40 (2005) 81-91
25. Slowinski R., and Vanderpooten D. A generalized definition of rough approximation based on similarity. IEEE Transactions on Knowledge and Data Engineering 12 (2000) 331-336
26. Wang G.J. Theory of L-fuzzy Topological Space (1988), Shaanxi Normal University Press, Xi'an (in Chinese)
27. Wu W.Z., Mi J.S., and Zhang W.X. Generalized fuzzy rough sets. Information Sciences 151 (2003) 263-282
28. Wu W.Z., and Zhang W.X. Constructive and axiomatic approaches of fuzzy approximation operators. Information Sciences 159 (2004) 233-254
29. Wu W.Z., Leung Y., and Zhang W.X. On generalized rough fuzzy approximation operators. Transactions on Rough sets, Lecture Notes in Computer Sciences 4100 (2006) 263-284
30. Yang X.P., and Li T.J. The minimization of axiom sets characterizing generalized approximation operators. Information Sciences 176 (2006) 887-899
31. Yao Y.Y. Constructive and algebraic methods of the theory of rough sets. Information Sciences 109 (1998) 21-47
32. Yao Y.Y. Two views of the theory of rough sets in finite universes. International Journal of Approximation Reasoning 15 (1996) 291-317
33. Yao Y.Y. Relational interpretations of neighborhood operators and rough set approximation operators. Information Sciences 111 (1998) 239-259
34. Yao Y. Neighborhood systems and approximate retrieval. Information Sciences 176 (2007) 3431-3452
35. Yao Y.Y., and Lin T.Y. Generalization of rough sets using modal logic. Intelligent Automation and Soft Computing, an International Journal 2 (1996) 103-120
36. Yeung D.S., Chen D., Tsang E.C.C., Lee J.W.T., and Wang X. On the generalization of fuzzy rough sets. IEEE Transaction on Fuzzy Systems 13 (2005) 343-361
37. Zhu W., and Wang F.Y. Reduction and axiomization of covering generalized rough sets. Information Sciences 152 (2003) 217-230
38. Zhu W. Topological approaches to covering rough sets. Information Sciences 177 (2007) 1499-1508
39. Zhu W., and Wang F.Y. On three types of covering rough sets. IEEE Transactions on Knowledge and Data Engineering 19 8 (2007) 1131-1144
40. Zhu W. Generalized rough sets based on relations. Information Sciences 177 22 (2007) 4997-5011