粗集、S-粗集、函数S-粗集及其关系定理

S-Rough Sets, Function S-Rough Sets and their Relation Theorem

针对Pawlak粗集理论的现况,着重介绍了S-粗集、函数S-粗集的定义、两种结构及对偶形式,详细讨论了S-粗集与Pawlak粗集之间的关系,函数S-粗集与S-粗集、Pawlak粗集之间的关系。最后给出了S-粗集理论的可应用领域。

The authors briefly analyze the present situation of Pawlak Rough sets, and emphatically introduce the definitions of S-rough sets and Function S-rough sets, two mathematical structures and the dual forms, The authors detailedly summarize the relation between S-rough sets and Pawlak Rough sets, the relation between function S-rough sets and S-rough sets Pawlak Rough sets, and the relation between function S-rough sets and Pawlak Rough sets. At last the authors give the available applications of S-rough sets theory,