函数单向S-粗集对偶与F--预测规律发现

函数S-粗集理论是粗集理论的拓展,函数单向S-粗集对偶是函数S-粗集的三类形式之一. 函数S-粗集具有规律特性、动态特性、遗传特性、记忆特性与预测特性. 利用函数单向S-粗集对偶的动态特征, 给出-预测规律、F-预测规律和预测度概念, 提出预测规律的预测定理, 并在通信传输识别系统中给出应用. 函数S-粗集(函数单向S-粗集、函数单向S-粗集对偶、函数双向S-粗集)与信息系统融合、交叉是粗集理论中的一个新的研究方向.

Dual of Function One Direction S-rough Set and Discovery of F--forecast Law

Function S-rough sets theory is the prolongation of rough sets theory; dual of function one direction S-rough set is one of the three forms of function S-rough set.Function S-rough set has law characteristics,dynamic characteristics,inherited characteristics,memory characteristics and prediction characteristics.By employing the dynamic characteristics of dual of function one direction S-rough set,the concepts of -prediction law,-prediction law and prediction degree were proposed,then the prediction theorem of prediction law was given,and their applications in transformation and identification of communication system were also presented.Function S-rough set(function one direction S-rough set,dual of function one direction S-rough set,function two direction S-rough set)integrated with information system is a new research direction of rough sets theory.