摘要
Z.Pawlak粗集理论是一种研究和处理静态知识的静态粗集理论。提出研究和处理动态知识的动态粗集理论,给出动态粗集的数学表示,定义知识库上的元素迁移系数、D-粗集、D-近似集等概念,研究D-粗集的迁移特性,给出D-粗集退化定理、D-粗集转化定理、迁移平衡定理等,并进行实例分析和意义解析。D-粗集是Pawlak粗集的一般形式,而Pawlak粗集可以看作D-粗集的一种特例。
Pawlak＇s rough set theory is the static rough set theory which is to research and deal with static knowledge. This paper proposes the dynamic rough set theory which is to research and deal with dynamic knowledge, and gives the mathematical expression of dynamic rough sets by defining some concepts such as the elementary transfer coefficients, the D-rough sets and the D-approximate sets, et al, based on dynamic knowledge. And in this paper we also study the transfer characteristic of D-rough sets and give some Theorems such as the D-rough set degradation theorem, the D-rough set transform theorem and the transfer equilibrium theorem etc. Finally illustrative examples are further discussed. D-rough set is a common form of Pawlak＇s rough set, as Pawlak＇s rough set can be considered as a special case of D-rough set.
出处
《模糊系统与数学》
CSCD
北大核心
2008年第3期167-174,共8页
Fuzzy Systems and Mathematics
基金
河南省基础与前沿技术研究重点资助项目(082300410040)
关键词
粗集
动态粗集
迁移系数
D-粗集
D-近似集
Rough Set
Dynamic Rough Set Transfer Coefficient
D-rough Set
D-approximate Set
