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Research And Application On Multidimensional Situation Of Complex System

Posted on:2015-05-28Degree:MasterType:Thesis
Country:ChinaCandidate:L ZhangFull Text:PDF
GTID:2180330452458213Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
From the perspective of system, any two components in system can be seen as anexample for set pair under certain conditions. The connection number in set pair analysisdepicts the link of object system with each side. This depiction reveals the system’ssituation of object system, because the each contact component of connection numberinclude the system’s situation information, potential level of connection degree and thepotential value of the system reflects the trends. So far, the research of system’s situationcan’t meet the requirement.it is necessary that studied the multi-element situation.Firstly, improved the algorithm of3-element connection number, and given multi-element operations of connection number, and proposed the concept of connectionnumber group based on the3-element connection number. This section broadened theconnection number theory and laid the foundation for further research.Secondly, studied the system’s situation of connection number, gave the situationsort table and its laws of the6-element connection number when the connection norm is9.Analyzed the difference of algebra sort and numerical sort, the result is the numerical sortportray more detailed than algebra sort, and discussed its application in barcodetechnology. Given the definition of multiple connection number system’s situation andput forward the concept of little counter-potential and the inferior strong anti-potential atthe first time according to the defined of3-element connection number, definite themultidimensional situation with the formal of feature vector, and verified thecompatibility of the situation of multidimensional and one-dimensional. In another hand,we gave the multidimensional numerical trend intuitive description of connection number.Finally, conducted research for complex system model, given system modelingmethod and comprehensive evaluation model based on connection number situation ofcomplex system, this article discussed the application of international scientific andtechnological cooperation of this model, the results indicate that this method is feasible.
Keywords/Search Tags:set pair analysis, connection number, system situation, numericalsituation, complex system, evaluation model
PDF Full Text Request
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