{"title":"A Kind of Data Processing Method Suited to DGM (1, 1) Model","authors":"Xinhai Kong, Zhi-bin Liu, Yong Wei","doi":"10.30016/JGS.201109.0003","DOIUrl":null,"url":null,"abstract":"Aiming at the discrete GM (1, 1) model (DGM (1, 1) model) can completely fit the pure exponential sequence, and according to the changing trend of the class ratio of the original sequence, this paper put forward a kind of data processing method to make the class ratio of the transformed sequence approximate the minimum or maximum class ratio of the original sequence for being better suited to construct DGM (1, 1) model. And based on the optimized DGM (1, 1) model (ODGM (1, 1) model), we construct the R-ODGM (1, 1) model and M-ODGM (1, 1) model. Examples show that this method has a good effect, and the simulation accuracy of R-ODGM (1, 1) model and M-ODGM (1, 1) model is over 98%.","PeriodicalId":50187,"journal":{"name":"Journal of Grey System","volume":"14 1","pages":"101-106"},"PeriodicalIF":1.0000,"publicationDate":"2011-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Grey System","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.30016/JGS.201109.0003","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: 0
Abstract
Aiming at the discrete GM (1, 1) model (DGM (1, 1) model) can completely fit the pure exponential sequence, and according to the changing trend of the class ratio of the original sequence, this paper put forward a kind of data processing method to make the class ratio of the transformed sequence approximate the minimum or maximum class ratio of the original sequence for being better suited to construct DGM (1, 1) model. And based on the optimized DGM (1, 1) model (ODGM (1, 1) model), we construct the R-ODGM (1, 1) model and M-ODGM (1, 1) model. Examples show that this method has a good effect, and the simulation accuracy of R-ODGM (1, 1) model and M-ODGM (1, 1) model is over 98%.
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.