论文标题
关于粗糙集的类别的注释
A Note on Categories about Rough Sets
论文作者
论文摘要
Using the concepts of category and functor, we provide some insights and prove an intrinsic property of the category ${\bf AprS}$ of approximation spaces and relation-preserving functions, the category ${\bf RCls}$ of rough closure spaces and continuous functions, and the category ${\bf RInt}$ of rough interior spaces and continuous functions.此外，我们定义了信息系统和O-A-D同构的类别$ {\ bf是} $，并确定类别$ {\ bf is} $与类别$ {\ bf aprs} $之间的关系，通过考虑sub category $ {\ bf neis} $ {\ bf neis的$} $} $} $} $} $ {具有冲销属性映射的非廉价O-A-D同态。
Using the concepts of category and functor, we provide some insights and prove an intrinsic property of the category ${\bf AprS}$ of approximation spaces and relation-preserving functions, the category ${\bf RCls}$ of rough closure spaces and continuous functions, and the category ${\bf RInt}$ of rough interior spaces and continuous functions. Furthermore, we define the category ${\bf IS}$ of information systems and O-A-D homomorphisms, and establish the relationship between the category ${\bf IS}$ and the category ${\bf AprS}$ by considering a subcategory ${\bf NeIS}$ of ${\bf IS}$ whose objects are information systems and whose arrows are non-expensive O-A-D homomorphisms with surjective attribute mappings.
