摘要
基于不可分辨关系的变精度粗糙集和程度粗糙集都是对经典粗糙集的拓展,分别反映了信息的相对量化和绝对量化.为了融合2种模型的优点同时为使其更具实际意义,本文在序信息系统中通过对2对上下近似算子的重新组合,构造了2个新的粗糙集模型,并仿照研究经典粗糙集理论的方法深入地研究了其数学性质.最后通过学生成绩这一案例求解分析对本文作进一步说明,本文为序信息系统的知识发现提供了进一步的理论基础.
As the two important expansions of the classical rough set,variable precision rough set and graded rough set have been constructed on the basic of the indiscernibility relations,and been related to the relative and absolute quantitative information respectively.To integrate the good points of these two expanded rough sets and let it have more practical significance.In this paper,the model of the rough set based on combined variable precision and graded approximation operators have been proposed in ordered information system.Moreover,some important mathematical properties of this model have been investigated carefully.Finally,a specific case study about the student achievement has been analyzed.
出处
《西南师范大学学报（自然科学版）》
CAS
北大核心
2016年第4期39-44,共6页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家社科基金(13BTJ008)
重庆高校创新团队建设计划资助项目(KJTD201308)
关键词
变精度粗糙集
程度粗糙集
组合
序信息系统
variable precision rough set
graded rough set
combination
ordered information system
