Model of variable precision tolerance rough set

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (26): 134-138.

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Model of variable precision tolerance rough set

ZHAI Junhai1，2, ZHAI Mengyao3, GAO Yuanyuan1, WANG Xizhao1，2

1.College of Mathematics and Computer Science, Hebei University, Baoding, Hebei 071002, China
2.Key Lab of Machine Learning and Computational Intelligence, Hebei University, Baoding, Hebei 071002, China
3.Industrial & Commercial College, Hebei University, Baoding, Hebei 071002, China

Online:2012-09-11 Published:2012-09-21

变精度相容粗糙集模型

翟俊海1，2，翟梦尧3，高原原1，王熙照1，2

1.河北大学数学与计算机学院，河北保定 071002
2.河北大学机器学习与计算智能重点实验室，河北保定 071002
3.河北大学工商学院，河北保定 071002

Abstract

Abstract: 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.

Key words: rough set, upper approximation, lower approximation, variable precision rough set, tolerance rough set

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。

关键词: 粗糙集, 上近似, 下近似, 变精度粗糙集, 相容粗糙集

ZHAI Junhai1，2, ZHAI Mengyao3, GAO Yuanyuan1, WANG Xizhao1，2. Model of variable precision tolerance rough set[J]. Computer Engineering and Applications, 2012, 48(26): 134-138.

翟俊海1，2，翟梦尧3，高原原1，王熙照1，2. 变精度相容粗糙集模型[J]. 计算机工程与应用, 2012, 48(26): 134-138.

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Model of variable precision tolerance rough set

变精度相容粗糙集模型

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