P-reasoning and P-reasoning Discovery-identification of Information
Shi Kai-quan · 2011
By embedding the dynamic characteristics into the finite Cantor set X and improving it,a novel mathematics structure and model was obtained,which is P-sets(Packet sets).P-sets is 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.Based on P-sets,internal P-reasoning(internal packet reasoning),out p-reasoning(outer packet reasoning),P-reasoning(packet reasoning) and the diagrammatic representation of reasoning model were given.The structure of P-reasoning is if(αFk,αk+1)(αFk+1,αk),then((x)k+1,(x)Fk)((x)k,(x)Fk+1).A few theorems were presented,which are internal P-reasoning and information deleting theorem,outer P-reasoning and information supplementing theorem,P-reasoning and information deleting-supplementing theorem,the relation theorem of P-reasoning and general reasoning and so on.A few concepts were given,which are information unit circle,internal P-reasoning information circle and outer P-reasoning information circle.The dynamic characteristics theorem of P-reasoning information circle was given.The internal discovery and outer discovery criterion of reasoning information circle-unknown information were given.By using the results,the application of internal packet reasoning in the unknown internal information discovery-identification was given.The attribute perturbation characteristic of P-reasoning,internal P-perturbation theorem of internal P-reasoning,outer P-perturbation theorem of outer P-reasoning and P-perturbation of P-reasoning were obtained using the dynamic characteristic of P-reasoning.In the internal P-reasoning,owing to the existence of internal P-perturbation,part information in the internal P-reasoning conclusion is lost.In the outer P-reasoning,owing to the existence of outer P-perturbation,part information is supplemented into the outer P-reasoning conclusion.P-sets is a novel model and method with good application prospect in the intelligent information system.