完备格上的广义Rough集模型  

Generalized Rough Set Model on Complete Lattices

作　　者：姚刚 张小红[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2007年第2期197-201,共5页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：浙江省自然科学基金(Y605389);宁波市青年基金(2005A620032)

摘　　要：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.

关 键 词：ROUGH集 WAY-BELOW关系 弱way-below关系 完备格 覆盖 约简 

分 类 号：O159[理学—数学] TP18[理学—基础数学]