右对合广群中的上粗子广群与上粗理想  

Right involution groupoid′s upper rough sub-groupoid and upper rough ideal

作　　者：陈露[1] 蒲义书[1] 

机构地区：[1]陕西理工学院数学系,陕西汉中723001

出　　处：《陕西理工学院学报（自然科学版）》2006年第3期9-11,共3页Journal of Shananxi University of Technology:Natural Science Edition

基　　金：陕西理工学院科研基金资助项目(SLG0423)

摘　　要：在右对合广群中引入了粗糙集的基本理论,定义了右对合广群中的上近似算子和下近似算子,以及上粗子广群与上粗理想等概念,研究了它们的性质,得到了一些有意义的结果。这些结果将粗糙集代数性质的研究扩展到右对合广群这个代数系统中。Basic theories of rough set are introduced into the right involution groupoid. At the same time, both the upper approximate operator and lower approximate operator of the right involution groupoid are defined ; these concepts of uppper rough sub - groupoid and upper rough ideal are also given, and their fundamental properties are studied. Through these studies, the study of rough set＇s algebraic properties are spreaded to right involution groupoid.

关 键 词：同余关系 上近似算子 下近似算子 上粗子广群 上粗理想 

分 类 号：O153.1[理学—数学]