摘要
在分析经典粗糙集模型不足的基础上,通过引入精度系数k(k∈(0.5,1]),给出了一般关系下基于粗糙隶属函数的程度粗糙集,并讨论了所给模型的相关重要性质。与经典粗糙集模型相比较,发现该模型不仅是对经典粗糙集模型的拓展,还是对基于等价关系的变精度粗糙集模型的拓展。
Upon scribing the limits of classical rough set model, the graded rough set model based on the rough membership function is established by introducing the precision coefficient and some important properties of it are discussed. Its key issue is that the graded rough set model can be seen not only as a expansion of classical rough set model but also as a variable precision rough set model based on general binary-relation. These results will be very helpful for the research of rough set model expansion and significant for establishing a framework of knowledge discovering in database system.
出处
《重庆理工大学学报(自然科学)》
CAS
2010年第10期101-108,共8页
Journal of Chongqing University of Technology:Natural Science
基金
重庆市教委科学技术研究项目(KJ090612)
关键词
一般二元关系
程度粗糙集
粗糙隶属函数
变精度粗糙集
general binary-relation
graded rough set
rough membership function
variable precision rough set