双论域的一般多粒度粗糙集  

General multi-granulation rough set over two universes

作　　者：孙文鑫[1] SUN Wenxin(Chongqing Water Resources and Electric Engineering College, Yongchuan, Chongqing 402160, China)

机构地区：[1]重庆水利电力职业技术学院,重庆永川402160

出　　处：《计算机工程与应用》2017年第4期79-83,227,共6页Computer Engineering and Applications

基　　金：重庆水利电力职业技术学院2015年院级科研项目(No.K201518)

摘　　要：多粒度粗糙集是近几年来研究的热门课题之一。将多粒度粗糙集和双论域结合起来,首先定义了不同论域上的支撑函数;其次通过支撑函数建立了不同论域上的一般多粒度粗糙近似算子,研究了各个近似算子的性质。讨论了双论域的一般多粒度粗糙集的粗糙度和精确度;通过大学生选课这一实例验证了该模型的实用性和有效性。The research of multi-granulation rough set is an important theory in recent years. In this paper, the multi-granulation and two universes are combined. Firstly, the support functions in different universes are defined;secondly, the general multi-granulation rough set approximation operators in different universes are constructed by support functions, and the properties of the approximation operators are studied. What’s more, the roughness and precision are discussed. Finally, an example about course selection in college students illustrates the feasibility and efficiency of this model.

关 键 词：粗糙集 多粒度 双论域 测度 

分 类 号：TP301[自动化与计算机技术—计算机系统结构] TP18[自动化与计算机技术—计算机科学与技术]