计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2013年
10期
132-135
,共4页
粗糙集%覆盖粗糙集%最小子覆盖%两个域
粗糙集%覆蓋粗糙集%最小子覆蓋%兩箇域
조조집%복개조조집%최소자복개%량개역
rough set%covering rough set%minimal subcovering%two different universes
两个域上的覆盖粗糙集模型推广了一般关系下的粗糙集模型,定义了两个域上的覆盖二元关系,给出了最小子覆盖新的描述,进而得到两个域上基于最小子覆盖的粗糙集近似算子;给出了若干性质和定理的证明;通过与两个域上的粗糙集模型进行实例对比得出了两个域上的覆盖粗糙集模型的优点.
兩箇域上的覆蓋粗糙集模型推廣瞭一般關繫下的粗糙集模型,定義瞭兩箇域上的覆蓋二元關繫,給齣瞭最小子覆蓋新的描述,進而得到兩箇域上基于最小子覆蓋的粗糙集近似算子;給齣瞭若榦性質和定理的證明;通過與兩箇域上的粗糙集模型進行實例對比得齣瞭兩箇域上的覆蓋粗糙集模型的優點.
량개역상적복개조조집모형추엄료일반관계하적조조집모형,정의료량개역상적복개이원관계,급출료최소자복개신적묘술,진이득도량개역상기우최소자복개적조조집근사산자;급출료약간성질화정리적증명;통과여량개역상적조조집모형진행실례대비득출료량개역상적복개조조집모형적우점.
Covering rough set model over two different universes extends rough set model in general relation. Covering binary relation on two different universes is defined, which provides a new description of the minimal subcovering. Rough set approxi-mation operators based on minimal subcovering on two different universes are presented. Several important properties and theo-rems are proposed and proved. An example is illustrated to explain the advantages of the model established in this paper by com-paring with rough set model over two different universes.