A Comprehensive Study on Reducts in Dominance-Based Rough Set Approach

Authors:
Yoshifumi Kusunoki;Masahiro Inuiguchi
Affiliations:
Graduate School of Engineering Science, Osaka University, Osaka, Japan 560-8531;Graduate School of Engineering Science, Osaka University, Osaka, Japan 560-8531
Venue:
MDAI '08 Sabadell Proceedings of the 5th International Conference on Modeling Decisions for Artificial Intelligence
Year:
2008

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Abstract

In this paper, we propose new reducts in the dominance-based rough set approach. The relations with previous ones are clarified. Moreover, a comprehensive enumeration method of all kinds of reducts is proposed. We show that all kinds of reducts are enumerated based on two discernibility matrices associated with generalized decisions.