{"title":"灰色GM(1,1)优化模型的进一步优化","authors":"Huan-Bin Xue, Yong Wei","doi":"10.30016/JGS.200806.0006","DOIUrl":null,"url":null,"abstract":"This paper analyzes the reason why there is a error in an optimized GM (1,1) based on connotation expression, though it has improved the modeling precision greatly. Then put forward a solution method for this reason, and obtain a new GM (1,1) model which improves the model precision further. The new model has been proven strictly to have the property of white exponential law coincident, so it not only to be suitable for the low growth sequence, but also suitable for the high growth sequence. Through simulation to a large number of data and comparing with the original GM (1,1) model and the optimized GM (1,1) model based on connotation expression, we discovered that the new optimized model in this paper has a very high simulation and forecasting precision.","PeriodicalId":50187,"journal":{"name":"Journal of Grey System","volume":"11 1","pages":"107-112"},"PeriodicalIF":1.0000,"publicationDate":"2008-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A Further Optimization in an Optimized Grey GM (1, 1) Model\",\"authors\":\"Huan-Bin Xue, Yong Wei\",\"doi\":\"10.30016/JGS.200806.0006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper analyzes the reason why there is a error in an optimized GM (1,1) based on connotation expression, though it has improved the modeling precision greatly. Then put forward a solution method for this reason, and obtain a new GM (1,1) model which improves the model precision further. The new model has been proven strictly to have the property of white exponential law coincident, so it not only to be suitable for the low growth sequence, but also suitable for the high growth sequence. Through simulation to a large number of data and comparing with the original GM (1,1) model and the optimized GM (1,1) model based on connotation expression, we discovered that the new optimized model in this paper has a very high simulation and forecasting precision.\",\"PeriodicalId\":50187,\"journal\":{\"name\":\"Journal of Grey System\",\"volume\":\"11 1\",\"pages\":\"107-112\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2008-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Grey System\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.30016/JGS.200806.0006\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Grey System","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.30016/JGS.200806.0006","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}
A Further Optimization in an Optimized Grey GM (1, 1) Model
This paper analyzes the reason why there is a error in an optimized GM (1,1) based on connotation expression, though it has improved the modeling precision greatly. Then put forward a solution method for this reason, and obtain a new GM (1,1) model which improves the model precision further. The new model has been proven strictly to have the property of white exponential law coincident, so it not only to be suitable for the low growth sequence, but also suitable for the high growth sequence. Through simulation to a large number of data and comparing with the original GM (1,1) model and the optimized GM (1,1) model based on connotation expression, we discovered that the new optimized model in this paper has a very high simulation and forecasting 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.