变异粗集与它的过滤特性

Variation rough set and its filter characters

利用变异粗集的概念,提出了变异粗集粒度、过滤度的概念,讨论了变异粗集(X-(α),X-(α))与Z.Pawlak粗集(R-(X),R-(X))的粒度、过滤度的关系特征,给出了变异粗集粒度、过滤度的单调性定理.本文的讨论是对变异粗集理论的丰富与发展.

By using concept of variation rough set, this paper presents the concepts of granulation degree and filter degree of variation rough set, the granulation characters between variation rough set and Z. Pawlak rough set are discussed . We also analyze the filter characters between variation rough set and Z. Pawlak rough set. In the end, we give the monotonicity theorems of granulation degree and filter degree about variation rough set.