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Zbl 0949.68144
Yao, Y.Y.
Relational interpretations of neighborhood operators and rough set approximation operators. (English)
[J] Inf. Sci. 111, No.1-4, 239-259 (1998). ISSN 0020-0255

The author presents a generalization of the rough set approach by introducing neighborhood systems defined by binary relations. For each object of the universe of such a system a nonempty family of subsets of the universe is associated. Some relationships with modal logic are summarized. The neighborhood systems are then used to define and study the basic properties of set approximations.
[Andrzej Skowron (Warszawa)]
MSC 2000:
*68T37 Reasoning under uncertainty
03E72 Fuzzy sets (logic)
68T27 AI logics

Keywords: rough set; neighborhood systems

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