Abstract
Knowledge of an agent depends on the granulation procedure adopted by the agent. The knowledge granules may form a partition of the universe or a covering. In this paper dependency degrees of two knowledges have been considered in both the cases. A measure of consistency and inconsistency of knowledges are also discussed. This paper is a continuation of our earlier work [3].
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Bianucci, D., Cattaneo, G., Ciucci, D.: Entropies and co-entropies of coverings with application to incomplete information systems. Fundamenta Informaticae 75, 77–105 (2007)
Cattanio, G., Cucci, D.: Lattice Properties of Preclusive and Classical Rough Sets. Personal Collection
Chakraborty, M.K., Samanta, P.: Consistency-Degree Between Knowledges. In: Kryszkiewicz, M., et al. (eds.) RSEISP 2007. LNCS (LNAI), vol. 4585, pp. 133–141. Springer, Heidelberg (2007)
Klir, G.J., Yuan, B.: Fuzzy Sets And Fuzzy Logic: Theory and Applications. Prentice-Hall of India, Englewood Cliffs (1997)
Nguyen, N.T., Malowiecki, M.: Consistency Measures for Conflict Profiles. In: Peters, J.F., Skowron, A., Grzymała-Busse, J.W., Kostek, B.z., Świniarski, R.W., Szczuka, M.S. (eds.) Transactions on Rough Sets I. LNCS, vol. 3100, pp. 169–186. Springer, Heidelberg (2004)
Novotný, M., Pawlak, Z.: Partial Dependency of Attributes. Bull. Polish Acad. of Sci., Math. 36, 453–458 (1988)
Pawlak, Z.: Rough Sets. Internal Journal of Information and Computer Science 11, 341–356 (1982)
Pawlak, Z.: On Rough Dependency of Attributes in Information System. Bull. Polish Acad. of Sci., Math. 33, 551–559 (1985)
Pawlak, Z.: ROUGH SETS - Theoritical Aspects of Reasoning About Data. Kluwer Academic Publishers, Dordrecht (1991)
Pomykala, J.A.: Approximation, Similarity and Rough Constructions. ILLC Prepublication Series for Computation and Complexity Theory CT-93-07. University of Amsterdam
Qin, K., Gao, Y., Pei, Z.: On Covering Rough Sets. In: Yao, J.T., et al. (eds.) RSKT 2007. LNCS, vol. 4481, pp. 34–41. Springer, Heidelberg (2007)
Sakai, H., Okuma, A.: Basic Algorithm and Tools for Rough Non-deterministic Information Analysis. In: Peters, J.F., Skowron, A., Grzymała-Busse, J.W., Kostek, B.z., Świniarski, R.W., Szczuka, M.S. (eds.) Transactions on Rough Sets I. LNCS, vol. 3100, pp. 209–231. Springer, Heidelberg (2004)
Skowran, A., Stepaniuk, J.: Tolerance approximation spaces. Fundamenta Informaticae 27, 245–253 (1996)
Slezak, D., Wasilewski, P.: Granular Sets - Foundations and Case Study of Tolerance Spaces. In: An, A., et al. (eds.) RSFDGrC 2007. LNCS, vol. 4482, pp. 435–442. Springer, Heidelberg (2007)
Yao, Y.: Semantics of Fuzzy Sets in Rough Set Theory. In: Peters, J.F., et al. (eds.) Transactions on Rough Sets II. LNCS, vol. 3135, pp. 297–318. Springer, Heidelberg (2004)
Zakowski, W.: Approximation the space (u,π). Demonstratio Mathematica 16, 761–769 (1983)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Samanta, P., Chakraborty, M.K. (2008). On Extension of Dependency and Consistency Degrees of Two Knowledges Represented by Covering. In: Peters, J.F., Skowron, A., Rybiński, H. (eds) Transactions on Rough Sets IX. Lecture Notes in Computer Science, vol 5390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89876-4_19
Download citation
DOI: https://doi.org/10.1007/978-3-540-89876-4_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89875-7
Online ISBN: 978-3-540-89876-4
eBook Packages: Computer ScienceComputer Science (R0)