Abstract
The paper presents a novel view of the Dempster—Shafer belief function as a measure of diversity in relational data bases. The Dempster rule of evidence combination corresponds to the join operator of the relational database theory. This rough-set based interpretation is qualitative in nature and can represent a number of belief function operators.
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
International Journal of Approximate Reasoning. Special issues on MTE, 1990:4 and 1992:6.
Kłopotek M.A., Wierzchoń S.T.: Basic Formal Properties of A Relational Model of The Mathematical Theory of Evidence. Submitted to the Journal Demonstratio Mathematica.
Shafer G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton, 1976
Shafer G.: Allocation of probability, Ann. Probab. 7(5) (1979), 827–839
Skowron A., Grzymała-Busse J.W.: From rough set theory to evidence theory. [in:] Yager R.R., Kasprzyk J. and Fedrizzi M., eds, Advances in the Dempster—Shafer Theory of Evidence. J. Wiley, New York (1994), 193–236.
Smets Ph.: Resolving misunderstandings about belief functions, International Journal of Approximate Reasoning 1992:6:321–344.
Vang A.: SQL and Relational Databases. Microtrend Books, Slawson Communications Inc., 1991.
Yao Y.Y., Lingras P.J.: Interpretations of belief functions in the Theory of Rough Sets. Information Sciences 104(1998) 1–2, 81–106.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kłopotek, M.A., Wierzchoń, S.T. (1998). A New Qualitative Rough-Set Approach to Modeling Belief Functions. In: Polkowski, L., Skowron, A. (eds) Rough Sets and Current Trends in Computing. RSCTC 1998. Lecture Notes in Computer Science(), vol 1424. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69115-4_47
Download citation
DOI: https://doi.org/10.1007/3-540-69115-4_47
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-64655-6
Online ISBN: 978-3-540-69115-0
eBook Packages: Springer Book Archive