Generalized fuzzy rough sets

Information Sciences

Volumn 151, Issue SUPPL, 2003, Pages 263-282

  Wu, Wei Zhi ^a,b   Mi, Ju Sheng ^a   Zhang, Wen Xiu ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b ZHEJIANG OCEAN UNIVERSITY   (China)

Author keywords

Approximation operators; Fuzzy relations; Fuzzy rough sets; Rough sets

Indexed keywords

APPROXIMATION THEORY; FUZZY SETS; MATHEMATICAL OPERATORS;

APPROXIMATION OPERATORS;

ROUGH SET THEORY;

EID: 0037403099     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-0255(02)00379-1     Document Type: Article

References (31)

1. Bodjanova S. Approximation of a fuzzy concepts in decision making. Fuzzy Sets and Systems. 85:1997;23-29.
2. Chakrabarty K., Biswas R., Nanda S. Fuzziness in rough sets. Fuzzy Sets and Systems. 110:2000;247-251.
3. Dubois D., Prade H. Rough fuzzy sets and fuzzy rough sets. International Journal of General Systems. 17:1990;191-208.
4. Dubois D., Prade H. Twofold fuzzy sets and rough sets - some issues in knowledge representation. Fuzzy Sets and Systems. 23:1987;3-18.
5. Jagielska I., Matthews C., Whitfort T. An investigation into the application of neural networks, fuzzy logic, genetic algorithms, and rough sets to automated knowledge acquisition for classification problems. Neurocomputing. 24:1999;37-54.
6. Kryszkiewicz M. Rough set approach to incomplete information systems. Information Sciences. 112:1998;39-49.
7. Kuncheva L.I. Fuzzy rough sets: Application to feature selection. Fuzzy Sets and Systems. 51:1992;147-153.
8. T.Y. Lin, Neighborhood systems and relational database, Proceeding of CSC'88, 1988.
9. T.Y. Lin, Neighborhood systems - application to qualitative fuzzy and rough sets, in: P.P. Wang (Ed.), Advances in Machine Intelligence and Soft-Computing, Department of Electrical Engineering, Duke University, Durham, NC, USA, 1997, pp. 132-155.
10. Lin T.Y., Liu Q. Rough approximate operators: axiomatic rough set theory. Ziarko W. Rough Sets, Fuzzy Sets and Knowledge Discovery. 1994;256-260 Springer, Berlin.
11. T.Y. Lin, Q. Lin, K.J. Huang, W. Chen, Rough sets, neighborhood systems and application, in: Z.W. Ras, M. Zemankova, M.L. Emrichm (Eds.), Methodologies for Intelligent Systems, Proceedings of the Fifth International Symposium on Methodologies of Intelligent Systems, Knoxville, Tennessee, 25-27 October 1990, North-Holland, New York, pp. 130-141.
12. T.Y. Lin, Y. Y. Yao, Mining soft rules using rough sets and neighborhoods, in: Proceedings of the Symposium on Modelling, Analysis and Simulation, Computational Engineering in Systems Applications (CESA'96), IMASCS Multiconference, Lille, France, 9-12 July 1996, pp. 1095-1100.
13. Morsi N.N., Yakout M.M. Axiomatics for fuzzy rough sets. Fuzzy Sets and Systems. 100:1998;327-342.
14. Nakamura A., Gao J.M. On a KTB-modal fuzzy logic. Fuzzy Sets and Systems. 45:1992;327-334.
15. Nanda S., Majumda S. Fuzzy rough sets. Fuzzy Sets and Systems. 45:1992;157-160.
16. Nguyen H.T. Some mathematical structures for computational information. Information Sciences. 128:2000;67-89.
17. Pal S.K. Roughness of a fuzzy set. Information Sciences. 93:1996;235-246.
18. Pawlak Z. Rough sets. International Journal of Computer and Information Science. 11:1982;341-356.
19. Pawlak Z. Rough Sets: Theoretical Aspects of Reasoning About Data. 1991;Kluwer Academic Publishers, Boston.
20. Pomykala J.A. Approximation operations in approximation space. Bulletin of the Polish Academy of sciences: Mathematics. 35:1987;653-662.
21. Quafafou M. α-RST: a generalization of rough set theory Information Sciences. 124:2000;301-316.
22. R. Slowinski, D. Vanderpooten, Similarity relation as a basis for rough approximations, in: P.P. Wang (Ed.), Advances in Machine Intelligence and Soft-Computing, Department of Electrical Engineering, Duke University, Durham, NC. USA, 1997, pp. 17-33.
23. Tsumoto S. Automated extraction of medical expert system rules from clinical databases based on rough set thoery. Information Sciences. 112:1998;67-84.
24. Wasilewska A. Conditional knowledge representation systems - model for an implementation. Bulletin of the Polish Academy of Sciences: Mathematics. 37:1989;63-69.
25. Wybraniec-Skardowska U. On a generalization of approximation space. Bulletin of the Polish Academy of Sciences: Mathematics. 37:1989;51-61.
26. Yao Y.Y., Lin T.Y. Generalization of rough sets using modal logic. Intelligent Automation and Soft Computing, an International Journal. 2:1996;103-120.
27. Yao Y.Y. Constructive and algebraic methods of the theory of rough sets. Journal of Information Sciences. 109:1998;21-47.
28. Yao Y.Y. Generalized rough set model. Polkowski L., Skowron A. Rough Sets in Knowledge Discovery 1. Methodology and Applications. 1998;286-318 Physica-Verlag, Heidelberg.
29. Yao Y.Y. Relational interpretations of neighborhood operators and rough set approximation operators. Information Sciences. 111:1998;239-259.
30. Yao Y.Y. Combination of rough and fuzzy sets based on. α-level sets Lin T.Y., Cercone N. Rough Sets and Data Mining: Analysis for Imprecise Data. 1997;301-321 Kluwer Academic Publishers, Boston.
31. Ziarko W. Variable precision rough set model. Journal of Computer and System Sciences. 46:1993;39-59.