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Study on generation in grey system theory
作者姓名:Ping Xueliang    Zhou Rurong & Liu Shenglan. Research Center of CAD/CAM Engineering  Nanjing University of Aeronautics & Astronautics  Nanjing  P. R. China  . School of Mechanical Engineering  Southern Yangtze University  Wuxi  P. R. China
作者单位:Ping Xueliang 1,2,Zhou Rurong1 & Liu Shenglan11. Research Center of CAD/CAM Engineering,Nanjing University of Aeronautics & Astronautics,Nanjing 210016,P. R. China;2. School of Mechanical Engineering,Southern Yangtze University,Wuxi 214122,P. R. China
基金项目:ThisprojectwassupportedbyChinaAeronauticFoundation(03H52059),NUAAExcellence&InnovationFundsforPh.D.Dissertations(2003).
摘    要:1.INTRODUCTION Greysequencegenerationisamaincomponentofgrey systemtheory.Itsfoundationisthebaseofmethod ologicalsystemofgreysystemtheory.Itcandraw outanddevelopimpliedrulesoftheoriginaldata.Thecommonusedgenerationsinthistheorycreated byProfessorDengJulongareaveragegeneration,stepwisegeneration,accumulatinggeneration,in verseaccumulatinggenerationetc.Withthedevelop mentofthistheoryanditswidelyusedapplications,manyimprovedandnewgenerationmethodshave beenproposed1~5].Thesenewmethodsimpro…


Study on generation in grey system theory
Ping Xueliang ,,Zhou Rurong & Liu Shenglan. Research Center of CAD/CAM Engineering,Nanjing University of Aeronautics & Astronautics,Nanjing ,P. R. China,. School of Mechanical Engineering,Southern Yangtze University,Wuxi ,P. R. China.Study on generation in grey system theory[J].Journal of Systems Engineering and Electronics,2005,16(2).
Authors:Ping Xueliang  Zhou Rurong  LIU Shenglan
Institution:1. Research Center of CAD/CAM Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, P. R. China;School of Mechanical Engineering, Southern Yangtze University, Wuxi 214122, P. R. China
2. Research Center of CAD/CAM Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, P. R. China
Abstract:Grey sequence generation can draw out and develop implied rules of the original data. Different kinds of generation methods were summarized and classified into two types: partial generation and whole generation. The average generation and stepwise ratio generation is disussed , the preference generation is regard as a special case of proportional division based on analysis geometric theory, propose an idea of using concave and convex status of discrete data to determine the generation coefficient. Based on the stepwise and smooth ratio generation, a tendency average generation is proposed and have a comparison using the data provided in papers listed in the references. The comparison proves that the new generation is better than the other two generations and errors are obviously reduced.
Keywords:data sequence  generation  grey system  tendency average generation  
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