Roughness bounds in set-oriented rough set operations

IEEE International Conference on Fuzzy Systems

Volumn , Issue , 2006, Pages 385-392

  Yingjie, Yang ^b   John, Robert ^a,b  

^a IEEE   (United Kingdom)

^b DE MONTFORT UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

OPERAND'S ROUGHNESSES; ROUGH SET OPERATIONS; ROUGHNESS BOUNDS;

BOUNDARY CONDITIONS; FUZZY SETS; MATHEMATICAL OPERATORS;

ROUGH SET THEORY;

EID: 34250729658     PISSN: 10987584     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZY.2006.1681741     Document Type: Conference Paper

References (24)

1. M. Banerjee and S. K. Pal. Roughness of a fuzzy set. Information Sciences, 93:235-246, 1996.
2. S. Bodjanova. Alpha-bounds of fuzzy numbers. Information Sciences, 152:237-266, 2003.
3. D. Dubois and H. Prade. Rough sets and fuzzy rough sets. International journal of general systems, 17(191-209), 1990.
4. D. Dubois and H. Prade. Fuzzy relation equations and causal reasoning. Fuzzy sets and systems, 75:119-134, 1995.
5. D. Dubois, H. Prade, F. Esteva, P. Garcia, and L. Godo. A logical approach to interpolation based on similarity relations. International Journal of Approximate Reasoning, 17:1-36, 1997.
6. T. B. Iwinski. Algebraic approach to rough sets. Bulletin of the polish Academy of Science and mathematics, 35:673-683, 1987.
7. R. Jensen and Q. Shen. Fuzzyrough attribute reduction with application to web categorization. Fuzzy sets and systems, 141:469-485, 2004.
8. J. Komorowski, J. Z. Pawlak, L. Polkowski, and A. Skowron. Rough sets: a tutorial. In S. K. Pal and A. Skowron, editors, Rough fuzzy hybridization: a new trend in decision-making. Springer, Singapore, 1999.
9. A. Mousavi and P. Jabedar-Maralani. Double-faced rough sets and rough communication. Information Science, 148:41-53, 2002.
10. S. Nanda and S. Majumdar. Fuzzy rough sets. Fuzzy sets and systems, 45:157-160, 1992.
11. A. Obtulowicz. Rough sets and heyting algebra valued sets. Bull. Polish Acad. Sci. Math., 35:667-671, 1987.
12. Z. Pawlak. Rough sets. International Journal of Computer and Information Sciences, 11(5):341-356, 1982.
13. Z. Pawlak. Rough sets: theoretical aspects of reasoning about data. Kluwer Academic Publishers, Dordrecht, 1991.
14. Z. Pawlak. Rough sets and intelligent data analysis. Information Science, 147:1-12, 2002.
15. A. Radzikowska and E. Kerre. A comparative study of fuzzy rough sets. Fuzzy sets and systems, 126:137-155, 2002.
16. J. F. Salido and S. Murakami. Rough set analysis of a general type of fuzzy data using transitive aggregations of fuzzy similarity relations. Fuzzy sets and systems, 139:515-542, 2003.
17. A. Wiweger. On topological rough sets. Bull. Polish Acad. Sci. Math., 37:89-93, 1989.
18. W. Wu, J. Mi, and W. Zhang. Generalized fuzzy rough sets. Fuzzy sets and systems, 151:263-282, 2003.
19. U. Wybraniec-Skardowska. On generalization of approximation space. Bulletin of the polish Academy of Science and mathematics, 37:51-61, 1989.
20. Y. Y. Yao. Two views of the theory of rough sets in finite universe. International journal of approximate reasoning, 15(4):291-317, 1996.
21. Y. Y. Yao. Combination of rough and fuzzy sets based on alpha level sets. In T. Y. Lin and N. Cercone, editors, Rough sets and data mining: anbalysis for imprecise data, pages 301-321. Kluwer Academic, Boston, MA, 1997.
22. Y. Y. Yao, X. Li, T. Y. Lin, and Q. Liu. Representation and classification of rough set models. In T. Y. Lin and A. M. Wildberger, editors, Soft Computing, pages 44-47. Society for Computer Simulation, San Diego, 1995.
23. W. Zakowski. Approximations in the space (u, π). Demonstratio Math., XVI:761-769, 1983.
24. H. Zhang, H. Liang, and D. Liu. Two new operators in rough set theory with applications to fuzzy sets. Information Sciences, 166:147-165, 2004.