摘要
函数单向S-粗集(Function one direction singular rough sets)是用具有动态特性的R-函数等价类[u]定义的,函数单向S-粗集具有规律(函数)特征。利用函数单向S-粗集,给出F-粗规律(w-(x)F,w-(x)F)的结构,粗规律(w-(x),w-(x))的属性特征,属性距离,状态系数概念,利用这些概念,提出F-粗规律与它的属性控制,给出属性控制准则,属性控制定理与应用。F-粗规律与它的属性控制是函数S-粗集(Function singular rough sets)中的一个新的应用研究方向。
Function one direction S-rough sets (function one direction singular rough sets) was defined by the R-function equivalent class [u], which has dynamic characteristic, and the function one direction S-rough sets has law (function) characteristic. By using function one direction S-rough sets, the concepts of the structure of F-rough law ( w_(x) v, w^- (x)^F ), the attribute characteristic of rough law (w_ (x), w^- (x)), attribute distance, and status coefficient were presented, and F-rough law and its attribute control, the principle of attribute control, attribute control theorem and applications were proposed. F-rough law and its attribute control is a new application research direction of function S-rough sets (function singular rough sets).
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2008年第12期66-72,76,共8页
Journal of Shandong University(Natural Science)
基金
福建省教育厅基金资助项目(JA08286)
山东省自然科学基金资助项目(Y2007H02)
关键词
函数单向S粗集
粗规律
属性特征
属性控制
属性控制定理
function one direction S-rough sets
rough law
attribute characteristic
attribute control
attributer control theorem