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灰色新陈代谢GM(1,1)模型在农村居民人均纯收入预测中的应用
引用本文:苏哲斌,安军龙.灰色新陈代谢GM(1,1)模型在农村居民人均纯收入预测中的应用[J].西安文理学院学报,2009,12(4):39-41.
作者姓名:苏哲斌  安军龙
作者单位:西安文理学院数学系,陕西西安710065
基金项目:西安文理学院科研专项基金资助项目 
摘    要:研究了基于灰色系统理论的农村居民人均纯收入的预测方法.建立不同维的常规GM(1,1)模型群,根据不同维预测模型的模拟相对误差,优选出基础GM(1,1)模型并建立灰色新陈代谢GM(1,1)模型对陕西省农村居民人均纯收入进行了预测.该方法能够有效融合新信息,弥补常规GM(1,1)模型的不足,实例计算表明该模型预测结果比较准确.

关 键 词:灰色预测  GM(1  1)模型  新陈代谢模型  农民人均纯收入

Application of Grey Metabolic GM (1,1) Model in Prediction of per Capita Net Income of Rural Residents
SU Zhe-bin,AN Jun-long.Application of Grey Metabolic GM (1,1) Model in Prediction of per Capita Net Income of Rural Residents[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2009,12(4):39-41.
Authors:SU Zhe-bin  AN Jun-long
Institution:( Department of Mathematics, Xi' an University of Arts and Science, Xi' an 710065, China)
Abstract:A prediction method of per capita net income of rural residents based on grey theory is studied. In this paper an ordinary GM ( 1,1 ) model group with different dimension is established and the simulating rela- tive errors are calculated in order to choose the optimal basic GM ( 1,1 ) model. Based on this a grey renewal GM ( 1,1 ) predicting model is constructed to forecast per capita net income of rural residents in Shaanxi prov- ince. This forecasting method could effectively integrate new information and make up for the shortage of ordi- nary GM ( 1,1 ) model. The computational results of example show that the forecasting result of grey renewal GM ( 1,1 ) model is accurate comparatively.
Keywords:grey forecasting  GM(1  1) model  metabolic model  per capita net income of peasants
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