Set approximations in multi-level conceptual data

Authors:
Ming-Wen Shao;Hong-Zhi Yang;Shi-Qing Fan
Affiliations:
School of Information Technology, Jiangxi University of Finance & Economics, Nanchang, Jiangxi, P. R. China and Department of Automation, Tsinghua University, Beijing, P. R. China;Faculty of Science, Xi'an Jiaotong University, Xi'an, Shaan'xi, P. R. China;Faculty of Science, Xi'an Jiaotong University, Xi'an, Shaan'xi, P. R. China
Venue:
RSKT'07 Proceedings of the 2nd international conference on Rough sets and knowledge technology
Year:
2007

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Abstract

In this paper, two kinds of multi-level formal concepts are discussed. Based on the proposed Multi-level formal concepts, we present two pairs of rough set approximations within fuzzy formal contexts. By the proposed rough set approximations, we not only approximate a crisp set, but also approximate a fuzzy set with the multi-level concepts. We discuss the properties of the proposed two pairs of approximation operators in details.