文档介绍：Hans Journal of Data Mining 数据挖掘, 2011, 1, 7-12
doi:.11002 Published Online July 2011 (rnal/hjdm/)
Rough Set Based on Logical AND and OR of
Equivalence Relations*
Weihua Xu, Xiantao Zhang, Qiaorong Wang
School of Mathematics and Statistics, Chongqing University of Technology, Chongqing
Email: chxuwh@
Received: Jul. 20th, 2011; revised: Aug. 4th, 2011; accepted: Aug. 6th, 2011.
Abstract: We popularize the classical rough set model in this paper and study rough set in the view of logical
operation of equivalence relations. The logical AND rough set model and the logical OR rough set model are
proposed on the basis of the operations logical AND and logical OR of equivalence relations. Furthermore,
the connection between the logical AND rough set model and Pawlak’s classical rough set model is illustrated.
Important properties are discussed in depth and several measures are defined in OR-RS. An example is em-
ployed to explain OR-RS.
Keywords: Rough Set; Logical Operation of Equivalence Relations; AND-RS; OR-RS
基于等价关系逻辑“与”“或”的粗糙集*
徐伟华,张先韬,王巧荣
重庆理工大学数学与统计学院,重庆
Email: chxuwh@
收稿日期:2011 年 7 月 20 日;修回日期:2011 年 8 月 4 日;录用日期:2011 年 8 月 6 日
摘要:本文从关系逻辑运算的角度研究粗糙集,对经典的粗糙集进行了推广。对多个等价关系进行逻
辑“与”和逻辑“或”运算,提出了逻辑“与”粗糙集模型和逻辑“或”粗糙集模型。说明了逻辑
“与”粗糙集模型和 Pawlak 经典粗糙集的关系,并详细研究了逻辑“或”粗糙集模型的重要性质,定
义了逻辑“或”粗糙集模型中的若干度量,举例验证