P-集合,逆P-集合与信息智能融合-过滤辨识

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.%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 XF (internal packet set XF) and outer P-set XF(outer packet set XF),or (XF,XF) 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 inemal inverse P-set XF( internal inverse packet set XF) and outer inverse P-set XF(outer inverse packet set XF) ,or (XF,XF) 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.