Fuzzy approximation operators based on coverings

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4482 LNAI, Issue , 2007, Pages 55-62

  Li, Tongjun ^a,b   Ma, Jianmin ^b  

^a ZHEJIANG OCEAN UNIVERSITY   (China)

^b XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Crisp coverings; Fuzzy coverings; Fuzzy partitions; Fuzzy sets; Fuzzy covering based fuzzy rough approximation operators

Indexed keywords

APPROXIMATION ALGORITHMS; SET THEORY;

CRISP COVERINGS; FUZZY COVERINGS; FUZZY PARTITIONS;

FUZZY SYSTEMS;

EID: 38049042323     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-72530-5_6     Document Type: Conference Paper

References (18)

1. Bonikowski, Z., Bryniariski, E., Skardowska, V.W.: Extension and intensions in the rough set theory. Information Sciences 107 (1998) 149-167
2. Chakrabarty, K., Biawas, R., Nanda, S.: Fuzziness in rough sets. Fuzzy Sets and Systems 10 (2000) 247-251
3. De Cock, M., Cornelis, C., Kerre, E. E.: Fuzzy rough rets: Beyond the obvious. Proceedings of the 2004 IEEE International Conference on Fuzzy Systems 1 (2004) 103-108
4. Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets. International Journal of Gerneral Systems 17 (1990) 191-208
5. Feng, T., Mi, J.-S., Wu, W.-Z.: Covering-based generalized rough fuzzy sets. G. Wang et al. (Eds.): RSKT 2006, LNAI 4062, (2006) 208-215
6. Li, T-J.: Rough approximation operators in covering approximation spaces. S. Greco et al. (Eds.): RSCTC 2006, LNAI 4259, (2006) 174-182
7. Mi, J.-S., Zhang, W.-X.:An axiomatic characterization of a fuzzy generalization of rough sets. Information Science 160 (2004) 235-249
8. Morsi, N.N., Yakout, M.M.: Axiomtics of fuzzy rough sets. Fuzzy Sets and Systems 100 (1998) 327-342
9. Pawlak, Z.: Rough sets. International Journal of Computer and Information Science 11 (1982) 341-356
10. Pomykala, J.A.: Approximation operations in approximation space. Bulletin of the Polish Academy of Sciences: Mathematics 35 (1987) 653-662
11. Pomykala, J.A.: On definability in the nondeterministic information system. Bulletin of the Polish Academy of Sciences: Mathematics 36 (1988), 193-210
12. Slowinski, R., Vanderpooten, D.: A generalized definition of rough approximations based on similarity. IEEE Transactions on Knowledge and Data Engineering 12(2) (2000) 331-336
13. Wu, W.-Z., Zhang, W.-X.: Neighborhood operator systems and appoximations. Infomation Sciences 144 (2002) 201-217
14. Wu, W.-Z., Zhang, W.-X.: Constructive and axiomatic approaches of fuzzy approximation operators. Information Sciences 159 (2004) 233-254
15. Yao, Y.Y.: Constructive and algebraic methods of the theory of rough sets. Information Sciences 109 (1998) 21-47
16. Yao, Y.Y.: Relational interpretations of neighborhood operators and rough set approximation operators. Information Sciences 111 (1998) 239-259
17. Yao, Y.Y.: Rough sets, neighborhood systems, and granular computing. Proceedings of the 1999 IEEE Canadian Conference on Electrical and Computer Engineering, Edmonton, Canada, Meng, (ed.), IEEE press, (1999) 1553-1558
18. Zakowski, W.: Approximations in the space (U, II). Demenstratio Mathematica XVI (1983) 761-769