函数单向S-粗集对偶与■-预测规律发现

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

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、■-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.

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 f-prediction law, F-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.