Extended tolerance relation to define a new rough set model in incomplete information systems

Authors:
Do Van Nguyen;Koichi Yamada;Muneyuki Unehara
Affiliations:
Department of Management and Information Systems Engineering, Nagaoka University of Technology, Nagaoka, Japan;Department of Management and Information Systems Engineering, Nagaoka University of Technology, Nagaoka, Japan;Department of Management and Information Systems Engineering, Nagaoka University of Technology, Nagaoka, Japan
Venue:
Advances in Fuzzy Systems
Year:
2013

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Abstract

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.