摘要
将变精度粗糙集的思想引入相容粗糙集,提出了两种变精度相容粗糙集模型,在模型I中,目标概念的下近似和边界域的交集非空;在模型II中,目标概念的下近似和边界域的交集为空。研究了两种模型中上、下近似算子的基本性质、两种模型之间的关系,以及与其他粗糙集模型之间的关系。
The idea of variable precision is introduced into tolerance rough set in this paper. Two Variable Precision Tolerance Rough Set Models (VPTRSM) are proposed. In model I, the intersection of lower approximation and boundary region of target concept is not a null set;whereas in model II the intersection is null set. Furthermore the properties of lower approximation operator and upper approximation operator of VPTRSM are investigated, the rela- tionship between the two models and other rough set models are also studied.
出处
《计算机工程与应用》
CSCD
2012年第26期134-138,143,共6页
Computer Engineering and Applications
基金
国家自然科学基金(No.61170040)
河北省自然科学基金(No.F2010000323
No.F2011201063)
河北省高等学校科学技术研究重点项目(No.ZD2010139)
河北大学自然科学基金项目(No.2011-228)
关键词
粗糙集
上近似
下近似
变精度粗糙集
相容粗糙集
rough set
upper approximation
lower approximation
variable precision rough set
tolerance rough set