Characterizing Pawlak's approximation operators

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

Volumn 4400 LNCS, Issue PART 2, 2007, Pages 140-150

  Marek, Victor W ^a  

^a UNIVERSITY OF KENTUCKY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; MATHEMATICAL OPERATORS; ROUGH SET THEORY;

APPROXIMATION OPERATORS; NATURAL CHARACTERIZATION;

APPROXIMATION THEORY;

EID: 38149029121     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-71663-1_9     Document Type: Conference Paper

References (21)

1. Davey, B.A., and Priestley, H.A., Introduction to Lattices and Order, Cambridge University Press, 1992.
2. K. Doets, From Logic to Logic Programming, MIT Press, 1994.
3. I. Düntsch and E. Orlowska Beyond Modalities: Sufficiency and Mixed Algebras. Chapter 16 of [OS01], 2001.
4. W. Hodges, Model Theory. Cambridge University Press, 1993.
5. System for medical diagnoses ICD-9, http://pmiconline.com.
6. B. Jonsson A Survey of Boolean Algebras with Oprators. In: Algebras and Order, pages 239-284. Kluwer, 1991.
7. B. Jonsson and A. Tarski. Boolean Algebras with Operators. American Journal of Mathematics 73:891-939, 1951.
8. S. C. Kleene. Introduction to Metamathematics. North-Holland, 1967. Fifth reprint.
9. Liu, G-L., The axiomatization of the Rough Set Upper Approximation Operations, Fundamenta Informaticae 69:331-342, 2006.
10. W. Marek and Z. Pawlak. Information storage and retrieval systems, mathematical foundations, Theoretical Computer Science 1(4):331-354, 1976.
11. W. Marek and Z. Pawlak. Rough sets and information systems, Fundamenta Informaticae 7(1): 105-115, 1984.
12. V.W. Marek and M. Truszczyński. Contributions to the Theory of Rough Sets, Fundamenta Informaticae 39(4):389-409, 1999.
13. Ewa Orlowska and Andrzej Szalas. Relational Methods for Computer Science Applications. Selected Papers from 4th International Seminar on Relational Methods in Logic, Algebra and Computer Science (RelMiCS'98), Studies in Fuzziness and Soft Computing 65, Physica-Verlag/Springer, 2001.
14. Z. Pawlak. Rough Sets, International Journal of Computer and Information Sciences 11:341-356, 1982.
15. Pawlak, Z., Rough Sets - theoretical aspects of reasoning about data, Kluwer, 1991.
16. Rough Sets, a journal series of Springer Lecture Notes in Computer Science.
17. E. SanJuan and L. Iturrioz. Duality and informational representability of some information algebras, pages 233-247, in: Rough Sets in Knowledge Discovery, Methodology and Applications, L. Polkowski and A. Skowron, (eds). Physica-Verlag, 1998.
18. E. SanJuan and L. Iturrioz. An application of standard BAO theory to some abstract Information algebras. Chapter 12 of [OS01], 2001.
19. System of medical terminology SNOMED, http://www.snomed.org.
20. Y.-Y. Yao. Two views of the theory of rough sets in finite universes. International Journal of Approximate Reasoning 15:291-317, 1996.
21. Y.-Y. Yao and T.Y. Lin. Generalization of rough sets using modal logic, Intelligent Automation and Soft Computing 2:103-120, 1996.