内扰动与属性合取扩展规律挖掘-发现  

Internal-disturbances and Attributes Conjunctive Expanding Law Mining-discovery

作　　者：吴松丽[1] 陈桂友[2] 史开泉[3] 

机构地区：[1]驻马店职业技术学院信息工程系,河南驻马店463000 [2]山东大学控制科学与工程学院,山东济南250061 [3]山东大学数学学院,山东济南250100

出　　处：《数学的实践与认识》2014年第15期234-241,共8页Mathematics in Practice and Theory

基　　金：河南省基础与前沿技术研究计划资助项目(132300410289)

摘　　要：扰动的存在使得系统标准输出规律变成非标准输出规律的现象等价于在扰动存在的条件下,非标准输出规律被挖掘-发现;利用函数P-集合模型与它的动态特征给出这个现象的理论研究.主要结果:给出函数P-集合的结构与规律扰动,扰动恢复概念;给出扰动度量;利用这些概念,给出内扰动与属性合取扩展定理;属性合取扩展与内扰动规律挖掘定理,内扰动与规律挖掘辨识定理,内扰动与规律挖掘属性不变性定理.The phenomenon that the system output law departs from the system stan- dard output law caused by the existence of disturbances is equivalent to the non-standard output law is mined and discovered under the condition of existence of disturbances. The theory research of this phenomenon is carried out using function P-sets model and its dy- namic characters. The main results of this paper are, the structure of function P-sets, concept of law disturbance and concept of disturbance recovery are presented, and disturbance scale are proposed. Using these concepts, the internal-disturbances and attributes conjunctive ex- pand theorem, attributes conjunctive expand and internal-disturbances law mining theorem, internal-disturbances and law mining-identification theorem and internal-disturbances and law mining attributes constancy theorem are put forward.

关 键 词：函数P-集合 内扰动 扰动恢复 属性合取扩展 规律挖掘定理 规律挖掘辨识定理 

分 类 号：O144[理学—数学]