摘要
利用S 粗集(singularroughset)和它的两类形式:单向S 粗集(one directionsingularroughsets)和双向S 粗集(two directionsingularroughset) ,给出等价类的分解类、还原类、分解基、还原基的概念,提出S 粗集的分解定理、还原定理、分解还原关系定理、最大属性集原理、最小属性集原理和属性安全性原理。S 粗集的分解、还原是粗系统中粗推理研究的理论基础。S 粗集是粗集理论。
By using S-rough set(singular rough set)and its two forms: one-direction singular rough set and two-direction singular rough set, the decomposition class and reduction class of equivalence class and conception of decomposition base and reduction base are given. The decomposition theorem, reduction theorem, decomposition - reduction theorem, maximum attribute set theorem, minimum attribute set theorem and attribute safety principle are put forward. Decomposition and reduction of S-rough sets is the theoretical basis of rough inference in the rough system. S-rough set is a new direction in the research on the theory and application of rough sets and rough system.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2005年第4期644-651,共8页
Systems Engineering and Electronics
基金
国家自然科学基金资助课题 (70 2 710 48)
关键词
S-粗集
分解类
还原类
分解定理
还原定理
属性安全性原理
S-rough sets
decomposition class
reduction class
decomposition theorem
reduction theorem
attribute safety principle
