{"title":"Optimization of DGM (2, 1)","authors":"Xinhai Kong, Yong Wei","doi":"10.30016/JGS.200903.0002","DOIUrl":null,"url":null,"abstract":"Based on the grey differential equation of DGM (2, 1), its Connotation expression is derived in this paper, and shows that DGM (2, 1) is a non-homogeneous exponential type. Further, by comparing the connotation expression with the solution of the whitenization equation, we find that the solution is inconsistent with the connotation expression, and the differential restored value is also inconsistent with the inverse-accumulating restored value. So the optimized DGM (2, 1) is presented, which has the white exponential superposition. Some examples also show that the optimized model has a high simulation precision.","PeriodicalId":50187,"journal":{"name":"Journal of Grey System","volume":"12 1","pages":"9-13"},"PeriodicalIF":1.0000,"publicationDate":"2009-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Grey System","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.30016/JGS.200903.0002","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 6
Abstract
Based on the grey differential equation of DGM (2, 1), its Connotation expression is derived in this paper, and shows that DGM (2, 1) is a non-homogeneous exponential type. Further, by comparing the connotation expression with the solution of the whitenization equation, we find that the solution is inconsistent with the connotation expression, and the differential restored value is also inconsistent with the inverse-accumulating restored value. So the optimized DGM (2, 1) is presented, which has the white exponential superposition. Some examples also show that the optimized model has a high simulation precision.
期刊介绍：
The journal is a forum of the highest professional quality for both scientists and practitioners to exchange ideas and publish new discoveries on a vast array of topics and issues in grey system. It aims to bring forth anything from either innovative to known theories or practical applications in grey system. It provides everyone opportunities to present, criticize, and discuss their findings and ideas with others. A number of areas of particular interest (but not limited) are listed as follows:
Grey mathematics-
Generator of Grey Sequences-
Grey Incidence Analysis Models-
Grey Clustering Evaluation Models-
Grey Prediction Models-
Grey Decision Making Models-
Grey Programming Models-
Grey Input and Output Models-
Grey Control-
Grey Game-
Practical Applications.
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