Rough set approximations in formal concept analysis and knowledge spaces

Authors:
Feifei Xu;Yiyu Yao;Duoqian Miao
Affiliations:
Department of Computer Science and Technology, Tongji University, Shanghai, P.R. China and Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada;Department of Computer Science, University of Regina, Regina, Saskatchewan, Canada;Department of Computer Science and Technology, Tongji University, Shanghai, P.R. China
Venue:
ISMIS'08 Proceedings of the 17th international conference on Foundations of intelligent systems
Year:
2008

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Abstract

This paper proposes a generalized definition of rough set approximations, based on a subsystem of subsets of a universe. The sub-system is not assumed to be closed under set complement, union and intersection. The lower or upper approximation is no longer one set but composed of several sets. As special cases, approximations in formal concept analysis and knowledge spaces are examined. The results provide a better understanding of rough set approximations.