Abstract
In this paper, we introduce two interpretations of rough sets: rough sets as distinction among positive, negative and boundary regions and rough sets as approximations by means of elementary sets. It is shown that definitions, properties and definabilities are different by the interpretations of rough sets under a similarity relation. We apply those two kinds of rough sets to the extraction of if-then rules from an information table. We demonstrate the differences of the extracted if-then rules by the rough set interpretations.
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© 2003 Springer-Verlag Berlin Heidelberg
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Inuiguchi, M., Tanino, T. (2003). Two Directions toward Generalization of Rough Sets. In: Inuiguchi, M., Hirano, S., Tsumoto, S. (eds) Rough Set Theory and Granular Computing. Studies in Fuzziness and Soft Computing, vol 125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36473-3_5
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DOI: https://doi.org/10.1007/978-3-540-36473-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05614-7
Online ISBN: 978-3-540-36473-3
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