Attribute characters of formal contexts under homomorphisms

2008 IEEE International Conference on Granular Computing, GRC 2008

Volumn , Issue , 2008, Pages 724-729

  Yang, Hong Zhi ^a   Shao, Ming Wen ^b  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b JIANGXI UNIVERSITY OF FINANCE AND ECONOMICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

SET THEORY;

FORMAL CONCEPTS; FORMAL CONTEXTS; POWERFUL TOOLS;

FUNCTIONS;

EID: 57949107115     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/GRC.2008.4664756     Document Type: Conference Paper

References (20)

1. R.Wille, Restructuring lattice theory: an approach based on hierarchies of concepts, in: Ordered Sets, Rival, I.(Ed.), Reidel, Dordrecht-Boston, 1982, pp.445-470.
2. G.Gediga, R.Wille, Formal Concept Analysis, Mathematic Foundations, Springer, Berlin, 1999.
3. A. Burusco, R. Fuentes-Gonzalez, Concept lattices defined from implication operators, Fuzzy Sets and systems, 114 (3)(2000) 431-436.
4. R. Belohlavek, Concept lattice and order in fuzzy logic, Annals of pure and Apll.Logic, 128 (1-3) (2004) 277-298.
5. G. Georgescu, A. Popescu, Non-dual fuzzy connections, Archive for Mathematic Logic, 43 (8) (2004) 1009-1039.
6. A. Jaoua, S. Elloumi, Galois connection, formal concepts and Galois lattice in real relations: application in a real classifier, The Journal of Systems and Software 60 (2002) 149-163.
7. M.W.Shao, M.Liu, W.X.Zhang, The Approximation Operators in Fuzzy Formal Concept Analysis. Fuzzy Set and Systems, 158 (2007) 2627-2640.
8. J.S.Deogun, J.Saqer, Monotone concepts for formal concept analysis, Discrete Applied Mathematics 144 (2004) 70-78.
9. C.Carpineto, G.Romano, A lattice conceptual clustering system and its application to browsing retrieval, Mach. Learning 10 (1996) 95-122.
10. R.Godin, R.Missaoi, An incremental concept formation approach for learning from databases, Theoret. Comput. Sci, 133 (1994) 387-419 (special issues on Formal Methods in Databases and Software Engineering).
11. S.K.Harms, J.S.Deogum, Sequential association rule mining with time lags, J. Intell. Inform. Systems 22(1) (2004) 7-22.
12. M.Faid, R.Missaoi, R.Godin, Mining complex structures using context concatenation in formal concept analysis, International KRUSE Symposium, August 11-13, Vancouver, BC, 1997.
13. S.K.Harms, J.S.Deogum, Sequential association rule mining with time lags, J. Intell. Inform. Systems 22(1) (2004) 7-22.
14. S. Elloumi, J. Jaam, A. Hasnah, A. Jaoua, I. Nafkha, A multi-level conceptual data reduction approach based on the Lukasiewicz implication, Information Sciences, 163 (2004) 253-262.
15. W.X Zhang, L.Wei, J.J Qi, Attribute reduction theory and approach to concept lattice, SCIENCE IN CHINA, 48(6) (2005) 713-726.
16. D. Chen, C. Wang and Q. Hu, A new approach to attribute reduction of consistent and inconsistent covering decision systems with covering rough sets, Information Sciences, 177 (2007) 3500-3518.
17. J.A.Starzyk, D.E. Nelson and K. Sturtz, A mathematical foundation for improved reduct generation in information systems, Knowledge and Information Systems, 2 (2000) 131-146.
18. G.Y. Wang, Rough reduction in algebra view and information view, International Journal of Intelligent Systems 18 (2003) 679-688.
19. W.X.Zhang, J.S. Mi, W.Z. Wu, Approaches to knowledge reductions in inconsistent systems, International Journal of Intelligent Systems, 21 (2003) 989-1000.
20. Q. Hu, Z. Xie and D. Yu, Hybrid attribute reduction based on a novel fuzzy-rough model and information granulation, Pattern Recognition, 40 (2007) 3509-3521.