变精度相容粗糙集模型

摘要

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 relationship between the two models and other rough set models are also studied.%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.