A novel approach to roughness measure in fuzzy rough sets

Advances in Soft Computing

Volumn 40, Issue , 2007, Pages 775-780

  Zhang, Xiao Yan ^a   Xu, Wei Hua ^b  

^a GUANGDONG OCEAN UNIVERSITY   (China)

^b XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Level fuzzy set; Fuzzy rough set; Fuzzy set; Roughness measure; The lower and the upper approximation

Indexed keywords

EID: 58149240173     PISSN: 16153871     EISSN: 18600794     Source Type: Book Series    
DOI: 10.1007/978-3-540-71441-5_84     Document Type: Conference Paper

References (20)

1. Pawlak. Z. (1982) Rough Sets, International Journal of Computer Information Sciences 11:145-172
2. Pawlak. Z. (1991) Rough Sets-Theoretical Aspects to Reasoning about Data, Kluwer Academic Publisher, Boston
3. Yao. Y.Y. (1997) Combination of Rough and Fuzzy Sets Based on -Level Sets, Rough Sets and Data Mining: Analysis for Imprecise Data, Lin. T.Y. and Cercone, N. (Ed.), Kluwer Academic, Boston
4. Yao. Y.Y. (1996) Two Views of The Theory of Rough Sets in Finite Universes, International Journal of Approximation Reasoning 15:291-317
5. Yao. Y.Y., Lin. T.Y. (1996) Generalization of Rough Sets Using Modal Logic, Intelligent Automation and Soft Computing, An International Journal 2:103-120
6. Zhang. W.X., Wu.W.Z., Liang. J.Y., Li.D.Y. (2001) Theory and Method of rough sets. Science Press, Beijing
7. Zhang. W.X., Liang. Y., Wu. W.Z. (2003) Information Systems and Knowledge Discovery. Science Press, Beijing
8. Zadeh. L.A. (1965) Fuzzy Sets, Information and Control 8:338-353
9. Dubois. D., Prade. H. (1990) Rough Fuzzy Sets and fuzzy Rough Sets, International Journal of General Systems17:191-208
10. Cornelis. C., Cock, M.D. and Kerre. E.E. (2003) Intuitionistic Fuzzy Rough Sets: At the Crossroads of Imperfect Knowledge, Expert Systems 20:260-270
11. Radzikowska. A.M., Keere. E.E. (2002) A Comparative Study Rough Sets, Fuzzy Sets and Systems 126:137-156
12. Banerjee. M., Miltra. S., Pal. S.K. (1998) Rough fuzzy MLP: Knowledge encoding and classification, IEEE Trans. Neural Network 9:1203-1216
13. Chakrabarty. K., Biswas. R., Nanda. S. (2000) Fuzziness in Rough Sets, Fuzzy Set and Systems 110: 247-251
14. Mordeson. J.N. (2001) Rough Sets Theory Applied to (Fuzzy) Ideal Theory, Fuzzy Sets and Systems 121:315-324
15. Sarkar. M. (2002) Rough-fuzzy Functions in Classification, Fuzzy Sets and Systems 132:353-369
16. Baets. B.D., Kerre, E. (1994) The Cutting of Compositions, Fuzzy Sets and Systems 62:295-309
17. Radecki. Z. (1997) Level Fuzzy Sets, Journal of Cybernet 7:189-198
18. Rembrand. B.R.B., Zenner and Rita. M.M. DE Caluwe (1984) A New Approach to Information Retrieval Systems Using Fuzzy Expressions, Fuzzy Sets and Systems17:9-22
19. Liu. W.N., Yao. J.T., Yao. Y.Y. (2004) Rough Approximations under Level Fuzzy Sets, Lecture Notes in Artifical Intelligent 3066:78-83
20. Banerjee. M., Pal. S.K. (1996) Roughness of A Fuzzy Set, Information Sciences 1:235-264