{"title":"GM (1,1|α)在Verhulst模型上的研究","authors":"Chang-Jo Wu, Fu-Yuan Hsu, Kun-Li Wen, John H. Wu","doi":"10.30016/JGS.200612.0007","DOIUrl":null,"url":null,"abstract":"In the GM (1,1) study, generally speaking, the original data are non-smoothing type. But, actually, many types of data are smoothing and nonlinear. Such as population model, that is shown the saturation behavior in where. Hence, Deng and Wen proposed Verhulst model in GM (1,1) model to analyze this type of original data. However, the formula has some missing. Therefore, in this paper, we not only present the novel application for GM(1,1|α) to solve the problem, but also suggest the 4-points rolling in GM(1,1|α) is the better method in this field.","PeriodicalId":50187,"journal":{"name":"Journal of Grey System","volume":"9 1","pages":"131-138"},"PeriodicalIF":1.0000,"publicationDate":"2006-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The Study of GM (1,1|α) on the Verhulst Model\",\"authors\":\"Chang-Jo Wu, Fu-Yuan Hsu, Kun-Li Wen, John H. Wu\",\"doi\":\"10.30016/JGS.200612.0007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the GM (1,1) study, generally speaking, the original data are non-smoothing type. But, actually, many types of data are smoothing and nonlinear. Such as population model, that is shown the saturation behavior in where. Hence, Deng and Wen proposed Verhulst model in GM (1,1) model to analyze this type of original data. However, the formula has some missing. Therefore, in this paper, we not only present the novel application for GM(1,1|α) to solve the problem, but also suggest the 4-points rolling in GM(1,1|α) is the better method in this field.\",\"PeriodicalId\":50187,\"journal\":{\"name\":\"Journal of Grey System\",\"volume\":\"9 1\",\"pages\":\"131-138\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2006-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Grey System\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.30016/JGS.200612.0007\",\"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.200612.0007","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}
In the GM (1,1) study, generally speaking, the original data are non-smoothing type. But, actually, many types of data are smoothing and nonlinear. Such as population model, that is shown the saturation behavior in where. Hence, Deng and Wen proposed Verhulst model in GM (1,1) model to analyze this type of original data. However, the formula has some missing. Therefore, in this paper, we not only present the novel application for GM(1,1|α) to solve the problem, but also suggest the 4-points rolling in GM(1,1|α) is the better method in this field.
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.