Abstract: Dual of function one direction singular rough sets has one direction dynamic characteristics and law characteristics,and it’s one of the basic form of the function singular rough set.The function singular rough set is put forward by reforming S-rough sets.With the aid of the dynamic characteristics and law characteristics of dual of the function one direction singular rough set,this paper puts forward the concepts of f·-law,the attribute characteristic of f·-law,attribute distance and the f·-redundance law.Utilizing these concepts,this paper presents the law and its f·-attribute control and proposes,the theorem of f·-attribute control,the decision theorem of f·-attribute control and the recognisition rule and application of f·-attribute control.