摘要
首先,提出了基于Vague等价关系的(αt,αf)-等价类,并在(αt,αf)-等价类基础上定义了(αt,αf)-粗糙集,得到(αt,αf)-粗糙集是"-粗糙集的推广,研究了(αt,αf)-等价类和(αt,αf)-粗糙集的性质。其次,给出(αt,αf)-等价类分解、(αt,αf)-粗糙集分解以及(αt,αf)-粗糙集的边界的概念。最后,分别得到等价类、粗糙集以及粗糙集的边界基于Vague等价关系的分解结构。
Firstly,（αt,αf）-equivalence classes based on the Vague equivalence relation are introduced and （αt,αf）-rough sets are defined based on （αt,αf）-equivalence classes,it is obtained that （αt,αf）-rough sets is a generalization of λ-rough sets,and properties of （αt,αf）-equivalence classes and （αt,αf）-rough sets are investigated.Next,the notions of the decomposition of （αt,αf）-equivalence classes,the decomposition of （α,α）-rough sets and the boundary of （αt,αf）-rough sets are given.Finally,the decomposition structures based on the Vague equivalence relation of equivalence classes,rough sets and the boundary are obtained respectively.
出处
《计算机工程与应用》
CSCD
北大核心
2008年第15期22-24,28,共4页
Computer Engineering and Applications
基金
国家自然科学基金(the National Natural Science Foundation of China under Grant No.10271069)
陕西师范大学青年科技项目(the Sci-ence Funad for Young Scholars of Shaanxi Normal University under Grant No.200701007)
关键词
粗糙集
Vague等价关系
分解链
rough sets,Vague equivalence relation,decomposition chain
