Neighborhood operator systems and approximations

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Neighborhood operator systems and approximations
This paper presents a framework for the study of generalizing the standard notion of equivalence relation in rough set approximation space with various categories of k-step neighborhood systems. Based on a binary relation on a finite universe, six families of binary relations are obtained, and the corresponding six classes of k-step neighborhood systems are derived. Extensions of Pawlak's rough set approximation operators based on such neighborhood systems are proposed. Properties of neighborhood operator systems and rough set approximation operators are investigated, and their connections are examined.
Wei-Zhi Wu, Wen-Xiu Zhang
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 2002
Where ISCI
Authors Wei-Zhi Wu, Wen-Xiu Zhang
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