完备格上的广义Rough集模型

Generalized Rough Set Model on Complete Lattices

基于way-below关系和弱way-below关系,在具有逆合对应的完备格上建立了广义Rough上下近似算子,研究了它们的基本性质,并说明本文提出的广义Rough集模型是Pawlak标准粗糙集的推广.同时,在De Morgan代数上建立了广义Rough上下近似算子,给出了相应的基本性质.

Based on way-below relation and weak way-below relation, two kinds of generalized rough set models are established over complete lattice with order-reversing involution mapping. Some properties of new rough operators are given, and the relationship between the generalized rough set model and Pawlak＇s standard rough set model is discussed. Furthermore, a kind of dual generalized rough set model is established over De Morgan algebraic, their properties are also presented in this paper.