Generalized fuzzy rough sets by conditional probability relations

International Journal of Pattern Recognition and Artificial Intelligence

Volumn 16, Issue 7, 2002, Pages 865-881

  Intan, Rolly ^a,b   Mukaidono, Masao ^a  

^a MEIJI UNIVERSITY   (Japan)

^b PETRA CHRISTIAN UNIVERSITY   (Indonesia)

Author keywords

Covering of the universe; Fuzzy conditional probability relation; Interval value fuzzy sets; Rough sets; Weak fuzzy similarity relation

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; FUZZY SETS; INFORMATION SCIENCE; PROBABILITY;

CONDITIONAL PROBABILITY RELATIONS;

ROUGH SET THEORY;

EID: 0036866280     PISSN: 02180014     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218001402002039     Document Type: Article

References (17)

1. D. Dubois and H. Prade, "Rough fuzzy sets and fuzzy rough sets," Int. J. Gen. Syst. 17, 2 & 3 (1990) 191-209.
2. R. Intan and M. Mukaidono, "Conditional probability relations in fuzzy relational database," Proc. RSCTC-00, 2000, pp. 213-222.
3. R. Intan, M. Mukaidono and Y.Y. Yao, "Generalization of rough sets with α-coverings of the universe induced by conditional probability relations," Proc. RSTGC-01, 2001, pp. 173-176.
4. R. Intan and M. Mukaidono, "Fuzzy functional dependency and its application to approximate querying," Proc. IDEAS-00, 2000, pp. 47-54.
5. R. Intan and M. Mukaidono, "Generalization of rough membership function based on α-coverings of the universe," Proc. AFSS-02, Lecture Notes on Aritificial Intelligence, Vol. 2275, Springer-Verlag, 2002, pp. 129-135.
6. M. Inuiguchi and T. Tanino, "On rough sets under generalized equivalence relations," Proc. Int. Workshop on Rough Sets and Granular Computing, 2001, pp. 167-171.
7. G.J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice Hall, NJ, 1995.
8. J. Komorowski, Z. Pawlak, L. Polkowski and A. Skowron, "Rough sets: a tutorial," Rough Fuzzy Hybridization - A New Trend in Decision Making, eds. S.N. Pal and A. Skowron, Springer-Verlag, 1999, pp. 3-98.
9. Z. Pawlak, "Rough sets," Int. J. Comput. Inform. Sci. 11 (1982) 341-356.
10. Z. Pawlak and A. Skowron, "Rough membership functions," Fuzzy Logic for the Management of Uncertainty, eds. L.A. Zadeh and J. Kacprzyk, Wiley, NY, 1994, pp. 251-271.
11. R. Slowinski and D. Vanderpooten, "A generalized definition of rough approximations based on similarity," IEEE Trans. Knowl. Data Engin. 12, 2 (2000) 331-335.
12. I.B. Turksen, "Upper and lower memberships in CWW," Proc. FUZZ-IEEE, Vol. 2, 2001.
13. A. Tversky, "Features of similarity," Psychol. Rev. 84, 4 (1977) 327-353.
14. Y.Y. Yao and J.P. Zhang, "Interpreting fuzzy membership functions in the theory of rough sets," Proc. RSCTC-00, 2000, pp. 50-57.
15. Y.Y. Yao, "Two view of the theory of rough sets in finite universe," Int. J. Approx. Reas. 15 (1996) 291-317.
16. Y.Y. Yao, "A comparative study of fuzzy sets and rough sets," Int. J. Inform. Sci. 109 (1998) 227-242.
17. L.A. Zadeh, "Similarity relations and fuzzy orderings," Inform. Sci. 3, 2 (1970) 177-200.