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Research On The Technology Of Grey Generating And Its Application

Posted on:2007-04-14Degree:MasterType:Thesis
Country:ChinaCandidate:C J RaoFull Text:PDF
GTID:2120360212966606Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
The grey system theory deals with the uncertain problems with little data and scarce information. It extracts the valuable information by creating and developing the partial known information to describe and control the run rules of systems well. Grey modeling is the core of grey system theory and connects grey theory and practice. Nowadays, the research on the technology of grey generating is a hotspot in grey modeling. Grey generating is a method of transfering the grey process into white process. It can provide middle information for grey forecasting modeling and weaken the randomness of the raw data. So the grey generating is very important for the theory of grey system modeling. The grey generating impenetrates grey modeling first midst and last.It is not only the valid tool to excavate and sublime the data, but also the important method to develop and improve the technology of grey modeling.This dissertation aims at the research on the technology of grey generating, and several innovations are obtained, such as theoretical basis, technological methods and practical applications, which is of benefit to giving new thoughts and new methods for high precision GM(1,1) modeling. These outcomes have very important significance in developing the theory of grey modeling and widening the range of grey system theory.In order to show new developments of the technology of grey generating , this dissertation respectively summarizes the achievements of grey generating and the space of grey generating in the first chapter. It also sums up the theory's research thoughtway, technique way, influence and status.In the aspect of grey generating on numerical transformation, due to the difference information of the data transformation series is the decisive factor for a transformation series to establish a high precision GM(1,1) model. Therefore, the chapter two gives comprehensive research on the numerical transformation series of logarithm function, power function , translation transformation, logarithm-power function and power function x-α from a new viewpoint of the difference...
Keywords/Search Tags:Grey system, Grey generating, Grey generating space, Grey forecasting model
PDF Full Text Request
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