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Rough Sets and Other Mathematics: Ten Research Programs Read chapter Read first chapter

2015 | OriginalPaper | Chapter

A Probabilistic Approach to Information System and Rough Set Theory

Author : Md. Aquil Khan

Published in: Facets of Uncertainties and Applications

Publisher: Springer India

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Abstract

We propose a generalization of information systems which provides the probability of an object to take an attribute-value for an attribute. Notions of distinguishability relations and corresponding notions of approximations are proposed and studied in comparison with the existing one.

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previous chapter Approximation Dialectics of Proto-Transitive Rough Sets
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Literature
1.
Düntsch, I., Gediga, G., Orlowska, E.: Relational attribute systems II: reasoning with relations in information structures. In: J.F. Peters et al. (eds.) Transactions on Rough Sets VII, LNCS 4400, pp. 16–35. Springer-Verlag Berlin Heidelberg (2007)
2.
Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets. Int. J. Gen. Syst. 17, 191–200 (1990)CrossRef
3.
Komorowski, J., Pawlak, Z., Polkowski, L., Skowron, A.: Rough sets: a tutorial. In: Pal, S.K., Skowron, A. (eds.) Rough Fuzzy Hybridization: A New Trend in Decision-Making, pp. 3–98. Springer, Singapore (1999)
4.
5.
6.
Lin, T.Y., Yao, Y.Y.: Neighborhoods system: measure, probability and belief functions. In: Proceedings of the 4th International Workshop on Rough Sets and Fuzzy Sets and Machine Discovery, pp. 202–207. Nov 1996
7.
8.
Pawlak, Z.: Systemy Informacyjne. Podstawy Teoretyczne. Wydawnictwa Naukowo-Techniczne, Warszawa (1983)
9.
10.
Pawlak, Z.: Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991)MATH
11.
Pomykala, J.A.: Approximation, Similarity and Rough Constructions. ILLC Pre-publication Series for Computation and Complexity Theory CT-93-07. University of Amsderdam, Amsderdam (1993)
12.
Skowron, A., Stepaniuk, J.: Tolerance approximation spaces. Fundamenta Informaticae 27, 245–253 (1996)MathSciNetMATH
13.
Ślȩzak, D., Ziarko, W.: The investigation of the Bayesian rough set model. Int. J. Approx. Reason. 40, 81–91 (2005)MathSciNetCrossRef
14.
Stefanowski, J., Tsoukiàs, A.: On the extension of rough sets under incomplete information. In: Zhong, N., Skowron, A., Ohsuga, S. (eds.) RSFDGrC ’99: Proceedings of the 7th International Workshop on New Directions in Rough Sets. Data Mining, and Granular-Soft Computing, pp. 73–81. Springer, London, UK (1999)
15.
Vakarelov, D.: Modal logics for knowledge representation systems. Theor. Comput. Sci. 90, 433–456 (1991)MathSciNetMATH
16.
Yao, Y.Y.: Probabilistic rough set approximations. Int. J. Approx. Reason. 49(2), 255–271 (2008)CrossRef
17.
Metadata
Title
A Probabilistic Approach to Information System and Rough Set Theory
Author
Md. Aquil Khan
Copyright Year
2015
Publisher
Springer India
Book
Facets of Uncertainties and Applications

Print ISBN: 978-81-322-2300-9

Electronic ISBN: 978-81-322-2301-6

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-81-322-2301-6_9

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