Extended Tolerance Relation to Define a New Rough Set Model in Incomplete Information Systems

This paper discusses and proposes a rough set model for an incomplete information system, which defines an extended tolerance relation using frequency of attribute values in such a system. It first discusses some rough set extensions in incomplete information systems. Next, “probability of matching...

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Bibliographic Details
Main Authors: Do Van Nguyen, Koichi Yamada, Muneyuki Unehara
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2013/372091
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Summary:This paper discusses and proposes a rough set model for an incomplete information system, which defines an extended tolerance relation using frequency of attribute values in such a system. It first discusses some rough set extensions in incomplete information systems. Next, “probability of matching” is defined from data in information systems and then measures the degree of tolerance. Consequently, a rough set model is developed using a tolerance relation defined with a threshold. The paper discusses the mathematical properties of the newly developed rough set model and also introduces a method to derive reducts and the core.
ISSN:1687-7101
1687-711X