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Relational interpretations of neighborhood operators and rough set approximation operators. (English) Zbl 0949.68144
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.

##### MSC:
 68T37 Reasoning under uncertainty 03E72 Fuzzy set theory 68T27 Logic in artificial intelligence
##### Keywords:
rough set; neighborhood systems
Full Text:
##### References:
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