近似空间中的孤点与粗相等类的代数结构

Isolated Points and Algebraic Structure of Rough Equality Classes in Approximate Space

讨论近似空间中的孤点对其代数结构以及粗相等的清晰集刻画的影响。利用基本知识集,对应于粗糙集的上、下近似集对与正、负域集对,分别定义了两个代数系统,证明了它们与粗相等类集合上的格是格同构的;给出了粗相等类的两种具体的结构形式。

The influences of isolated points on algebraic structure of approximate space and description of rough equality by crisp sets are discussed. Two algebraic systems respectively according to inclusion relation of upper and lower approximations of rough sets and the disioint relation of negative and positive region of rough sets are defined, and it is proved that they are isomorphic to the lattice formed by rough equal classes. Finally, the constructions of rough equal classes are given.