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P-集合,逆P-集合与信息智能融合-过滤辨识
引用本文:史开泉.P-集合,逆P-集合与信息智能融合-过滤辨识[J].计算机科学,2012,39(4):1-13.
作者姓名:史开泉
作者单位:山东大学数学与系统科学学院 济南250100
基金项目:河南省科技攻关项目,山东省自然科学基金项目
摘    要:P-集合(Packet sets)是把动态特性引入到有限普通集合X内,改进有限普通集合X得到的.P-集合是由内P-集合XF(internal packet setXF)与外P-集合XF (outer packet set X,)构成的集合对;或者,(XF,XF)是P-集合.P-集合具有动态性,在一定条件下,P-集合被还原成有限普通集合X.P-集合是一类动态信息系统的数学表示.逆P-集合(inverse packet sets)是由P-集合得到的,具有动态特性,具有与P-集合相反的数学结构.逆P-集合是由内逆P-集合(X)F (internal inverse packet set XF)与外逆P-集合(X)F(outer inverse packet set (X)F)构成的集合对;或者,((X)F,(X)F)是逆P-集合.在一定条件下,逆P-集合被还原成有限普通集合X.逆P-集合是另一类动态信息系统的数学表示.P-推理(packet reasoning)是由P-集合生成的动态推理,逆P-推理(inverse packet reasoning)是由逆P-集合生成的动态推理.把P-集合、逆P-集合、P-推理、逆P-推理与信息融合交叉、渗透,给出信息智能融合-过滤辨识理论与应用研究.同时给出P-集合与逆P-集合的结构、P-集合与逆P-集合的分离、P-集合与逆P-集合的等价类特征、P-信息融合与逆P-信息融合、P-信息融合与逆P-信息融合的推理发现、P-信息融合与逆P-信息融合度量、P-信息融合与逆P-信息融合的过滤-辨识,以及信息智能融合-过滤辨识的应用.P-集合与逆P-集合是研究信息融合理论与应用的一个新理论、新方法.

关 键 词:P集合,逆P集合,P推理,逆P推理,信息融合,过滤一辨识,应用

P-sets, Inverse P-sets and the Intelligent Fusion-filter Identification of Information
SHI Kai-quan.P-sets, Inverse P-sets and the Intelligent Fusion-filter Identification of Information[J].Computer Science,2012,39(4):1-13.
Authors:SHI Kai-quan
Affiliation:SHI Kai-quan(School of Mathematics and System Sciences,Shandong University,Jinan 250100,China)
Abstract:P-sets(Packet sets) are obtained by embedding the dynamic characteristics into the finite general set X and improving it,which have the dynamic characteristic.P-sets are a set-pair composed of internal P-set X(internal packet set X) and outer P-set XF(outer packet set XF),or(XF,X) is P-sets.Under a certain condition,P-sets can be restored to finite general set X.P-sets are the mathematical expression of one class dynamic system.Inverse P-sets(inverse packet sets) are obtained by P-sets,which have also dynamic characteristic.Inverse P-sets have the opposite mathematics structure to P-sets,which are a set pair composed of inernal inverse P-set F(internal inverse packet set F) and outer inverse P-set(outer inverse packet set),or(F,) is inverse P-sets.Under a certain condition,inverse P-sets can be restored to finite general set X.Inverse P-sets are the mathematical expression of the other class dynamic system.P-reasoning(packet reasoning) is the dynamic reasoning generated by P-sets,and inverse P-reasoning(inverse packet reasoning) is the dynamic reasoning generated by inverse P-sets.By intersecting and infiltrating P-sets,inverse P-sets,P-reasoning,inverse P-reasoning with information fusion,the intelligent fusion-filter identification theory of information and its application study were given.The paper gave the structures,the separations and the equivalence class characteristics of P-sets and inverse P-sets,P-information fusion and inverse P-information fusion,the reasoning discovery,fusion measure,filter-identification of P-information fusion and inverse P-information fusion,the application of the intelligent fusion-filter identification of information.P-sets and inverse P-sets are new theories and methods of studying information fusion theory and application.
Keywords:P-sets  Inverse P-sets  P-reasoning  Inverse P-reasoning  Information fusion  Filter-identification  Application
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