Approximation operator based on neighborhood systems. (English) Zbl 1423.68517
Summary: In this paper, we propose a new covering-based set in which the lower and the upper approximation operations are defined by neighborhood systems. We systematically discuss this new type of covering-based set in two steps. First, we study the basic properties of this covering-based set, such as normality, contraction, and monotone properties. Second, we discuss the relationship between the new type of covering-based set and the other ten proposed sets.
MSC:
| 68T37 | Reasoning under uncertainty in the context of artificial intelligence |
Keywords:
rough sets; covering approximation space; neighborhood system; approximation operation; partitionReferences:
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