内P-反动态信息特征与信息恢复  

Internal P-back Dynamic Information Attributes and Information Recovery

作　　者：吴松丽[1,2] 魏葆雅[3] 陈桂友[4] 史开泉[1] 

机构地区：[1]山东大学数学学院,山东济南250100 [2]驻马店职业技术学院信息工程系,河南驻马店463000 [3]闽南师范大学计算机科学与工程系,福建漳州363000 [4]山东大学控制科学与工程学院,山东济南250061

出　　处：《数学的实践与认识》2014年第8期131-138,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：P-集合(packet sets)是一个动态模型,P-集合是由内P-集合x^F(internal packet set X^F)与外P-集合XF(~Fouter packet set X^F)构成的元素集合对;或者(X^F,X^F)是P-集合.利用内P-集合的结构,给出内P-信息,内P-反动态信息,信息的内P-反动态恢复概念,给出内P-反动态信息的属性合取收缩生成,给出内P-反动态信息与内P-信息同属性定理,给出内P-反动态信息存在与属性合取范式定理,给出信息的内P-反动态恢复属性定理.这些基本理论结果是把内P-集合与一类信息系统故障状态识别交叉,渗透研究得到的.P-sets（packet sets） is a dynamic model, which is a pair of element sets com- posed of internal P-set XF（internal packet setXF） and outer P-set XF（ outer packet set xF）, or （XF, XF）is a P-set. Using the structure of internal P-set, the concepts of internal P-information, internal P-back dynamic information and information internal P-back dynamic recovery are proposed. The attribute conjunctive shrink generation of internal P-back dynamic information, the identical attribute theorem of internal P-back dynamic information and in- ternal P-information, the existence of internal P-back dynamic information and attribute con- junctive normal form theorem, the information internal P-back dynamic recovery attribute theorem axe put forward. These basic theoretical results are obtained by reseach of internal P-set and a class of information system faults status identification cross and permeates.

关 键 词：P-集合 内P-信息 内P-反动态信息 属性合取 信息的内P-反动态恢 复 属性不变性定理 信息恢复定理 

分 类 号：O144[理学—数学] O236[理学—基础数学]