逆P-推理与未知信息推理-搜索与发现

Inverse P-reasoning and Discovery,Reasoning-search for Unknown Information

逆P-集合(inverse packet sets)是改进P-集合(packet sets)得到的一个新的数学结构,它是由内逆P-集合X珡F(internal inverse packet setX珡F)与外逆P-集合X珡F珚(outer inverse packet setX珡F珚)构成的集合对;或者(X珡F,X珡F珚)是逆P-集合。逆P-集合具有动态特性,逆P-集合的动态特性与另一类信息系统的动态特性相同。P-集合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-集合具有动态特性,P-集合的动态特性与一类信息系统的动态特性相同。P-集合在一类信息系统中获得了多个应用。P-推理(packet reasoning)是P-集合生成的一个具有动态特性的推理。利用逆P-集合(inverse packet sets)与逆P-推理(inverse packet reasoning)给出逆P-推理与内-外搜索定理、逆P-推理的几何特征,以及逆P-推理与未知信息搜索-辨识的多个基本理论结果与应用。逆P-集合与逆P-推理具有好的应用前景。

Inverse P-sets（inverse packet sets） is a new mathematical structure based on P-sets（packet sets）.It is a pair of sets composed of internal inverse P-set F（internal inverse packet set F） and outer inverse P-set（outer inverse packet set）,i.e.（F,）is inverse P-sets.Inverse P-sets has dynamic characteristics,the dynamic characteristics of inverse P-sets is identical to that of one kind of information systems.P-sets is obtained by introducing dynamic characteristic into ordinary set X,P-sets has dynamic characteristic,the dynamic characteristics of P-sets is identical to that of another kind of information systems.P-sets has been widely applied to this kind information systems.P-reasoning（packet reasoning） is a reasoning model generated by P-sets,and has dynamic characteristics.On basis of inverse P-sets and inverse P-reasoning,theorem of inverse P-reasoning and internal-outer search was given.The geometric characteristics of inverse P-reasoning was given.Several theorems and applications about inverse P-reasoning and unknown information search-identification were given.Inverse P-sets and inverse P-reasoning have extensive property in practical application.