Neighborhood Systems: Rough Set Approximations and Definability

Yu Ru Syau, En Bing Lin, Churn Jung Liau

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The notions of approximation and definability in classical rough set theory and their generalizations have received much attention. In this paper, we study such generalizations from the perspective of neighborhood systems. We introduce four different types of definability, called interior definability, closure definability, interior-closure (IC) definability, and weak IC definability respectively. We also point out the relationship between IC definability and other types of definability for some special kinds of neighborhood systems. Several examples are presented to illustrate the concepts introduced in this paper.

Original languageEnglish
Pages (from-to)429-450
Number of pages22
JournalFundamenta Informaticae
Issue number4
StatePublished - 2018


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