Granular sets - Foundations and case study of tolerance spaces

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

Volumn 4482 LNAI, Issue , 2007, Pages 435-442

  Ślȩzak, Dominik ^a   Wasilewski, Piotr ^b  

^a INFOBRIGHT INC   (Canada)

^b UNIVERSITY OF WARSAW   (Poland)

Author keywords

Granular computing; Rough sets; Tolerance relations

Indexed keywords

APPROXIMATION ALGORITHMS; INFORMATION SYSTEMS; MATHEMATICAL OPERATORS;

APPROXIMATION SPACES; DEFINABILITY; GRANULAR COMPUTING; TOLERANCE RELATIONS;

ROUGH SET THEORY;

EID: 38049036341     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-72530-5_52     Document Type: Conference Paper

References (22)

1. Bargiela, A., Pedrycz W.: Granular Computing: An Introduction. Kluwer Academic Publishers (2002).
2. Bazan, J.G., Skowron, A., Ślȩzak, D., Wróblewski, J.: Searching for the Complex Decision Reducts: The Case Study of the Survival Analysis. In: Proc. of Foundations of Intelligent Systems, ISMIS'2003. Lecture Notes in Computer Science. 2871 (2003) 160-168.
3. Demri, S., Orlowska, E.: Incomplete Information: Structures, Inference, Complexity. Springer-Verlag (2002).
4. Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets, International Journal of General Systems. 17(2-3) (1990) 191-209.
5. Järvinen, J.: Knowledge representation and rough sets. Doctoral dissertation. University of Turku, Turku Center for Computer Science (1999).
6. Lin, T.Y.: Granular computing on binary relations I, II. In: L. Polkowski, A. Skowron, (Eds.), Rough Sets in Knowledge Discovery. Physica-Verlag (1998) 107-140.
7. Lin, T.Y.: A Roadmap from Rough Set Theory to Granular Computing. In: Proc. of Rough Sets and Knowledge Technology, RSKT'2006. Lectures Notes in Computer Science. 4062 (2006) 33-41.
8. Orlowska, E.: Logic for reasoning about knowledge. Zeitschrift fur Mathematische Logik und Grundlagen der Mathematik. 35 (1989) 559-568.
9. Orlowska, E.: Reasoning with incomplete information: rough set based information logics. In: V. Algar, S. Bergler, F. Q. Dong (Eds.), Incompleteness and Uncertainty in Information Systems Workshop. Springer-Verlag (1993) 16-33.
10. Pawlak, Z.: Information Systems - theoretical foundation. Information systems. 6 (1981) 205-218.
11. Pawlak, Z.: Rough sets. International Journal of Computing and Information Sciences. 18 (1982) 341-356.
12. Pawlak, Z.: Rough sets. Theoretical Aspects of Reasoning About Data. Kluwer Academic Publishers (1991).
13. Pawlak, Z.: Elementary rough set granules: toward a rough set processor. In: S. K. Pal, L. Polkowski, A. Skowron (Eds.), Rough-Neural Computing: Techniques for Computing with Words. Springer-Verlag (2003) 5-13.
14. Pawlak, Z.: Some Issues on Rough Sets. Transactions on Rough Sets, I, Journal Subline, Lectures Notes in Computer Science. 3100 (2004) 1-58.
15. Polkowski, L.: Rough Sets: Mathematical Foundations. Physica-Verlag (2002).
16. Skowron, A., Stepaniuk, J.: Tolerance approximation spaces. Fundamenta Informaticae. 27 (1996) 245-253.
17. Skowron, A., Stepaniuk, J.: Informational granules and rough-neural computing. In: S. K. Pal, L. Polkowski, A. Skowron (Eds.), Rough-Neural Computing: Techniques for Computing with Words. Springer-Verlag (2003) 43-84.
18. Skowron, A., Stepaniuk, J., Peters, J. F.: Towards discovery of relevant patterns from parametrized schemes of information granule construction. In: M. Inuiguchi, S. Hirano, S. Tsumoto (Eds.), Rough Set Theory and Granular Computing. Springer-Verlag (2003) 97-108.
19. Synak, P., Ślȩzak, D.: Templates in Relational Information Systems. In: Proc. of Rough Sets and Knowledge Technology, RSKT'2007. Lecture Notes in Artificial Intelligence 4481 (2007).
20. Wasilewski, P.: On selected similarity relations and their applications into cognitive science (in Polish). Unpublished doctoral dissertation, Jagiellonian University: Department of Logic, Cracow, Poland (2004).
21. Yao, Y.Y.: Information granulation and rough set approximation. International Journal of Intelligent Systems. 16(1) (2001) 87-104.
22. Yao, Y.Y.: A partition model of granular computing. Transactions on Rough Sets, I, Journal Subline, Lectures Notes in Computer Science. 3100 (2004) 232-253.