Variable Precision Rough Set Model in Information Tables with Missing Values
Yoshifumi Kusunoki and Masahiro Inuiguchi
Department of Systems Innovation, Graduate School of Engineering Sciences, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japan
In this paper, we study rough set models in information tables with missing values. The variable precision rough set model proposed by Ziarko tolerates misclassification error using a membership function in complete information tables. We generalize the variable precision rough set in information tables with missing values. Because of incompleteness, the membership degree of each objects becomes an interval value. We define six different approximate regions using the lower and upper bounds of membership functions. The properties of the proposed rough set model are investigated. Moreover we show that the proposed model is a generalization of rough set models based on similarity relations.
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