P-集合的粒度与P-知识辨识发现  

Granulation degree of P-sets and discernibility-discovery of P-knowledge

作　　者：刘纪芹[1] 张彤[1] 

机构地区：[1]山东财经大学数学与数量经济学院,山东济南250014

出　　处：《山东大学学报（理学版）》2014年第6期6-10,共5页Journal of Shandong University(Natural Science)

基　　金：山东省自然科学基金资助项目(zr2013aq019);山东省教育厅资助项目(J13WF08)

摘　　要：利用P-集合,给出P-集合的粒度概念,讨论了P-集合粒度的特性,给出粒度与包度的关系定理、粒度的分解定理以及单调性定理。定义了P-知识以及知识分辨度概念,将P-集合概念及其粒度特性应用于P-知识的辨识发现中,得到P-知识的辨识发现定理。最后将辨识发现定理应用于系统状态的检测识别,给出了系统状态检测-识别准则及其应用。By using P-sets, the concept and properties of granulation degree in P-sets is presented.The relation theo-rems between the granulation degree and packet degree, the decomposition theorems and the monotonicity theorem of the granulation degree are proposed.P-knowledge and its discernibility degree are defined.P-sets and the properties of the granulation degree are applied to discernibility-discovery of P-knowledge, and the discernibility-discovery theorems of P-knowledge are obtained.Finally, the discernibility-discovery theorems are applied to system state detection-recog-nition, and the criterion of system state detection-recognition and its application are given.

关 键 词：P-集合 粒度 P-知识 辨识发现定理 检测 -识别准则 

分 类 号：O144[理学—数学]