| 改进不等时距灰色GM(1,1)模型及其应用 |
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| 引用本文： | 许绍杰,王晗中,王年生,杨江平.改进不等时距灰色GM(1,1)模型及其应用[J].数学的实践与认识,2011,41(8). |
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| 作者姓名： | 许绍杰 王晗中 王年生 杨江平 |
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| 作者单位： | 1. 空军雷达学院陆基预警监视装备系,湖北武汉,430019
2. 空军雷达学院黄陂校区,湖北,武汉,430345 |
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| 摘 要： | 针对传统不等时距灰色模型(UGM(1,1))的缺陷,分别从背景值优化和模型优化,结合新陈代谢思想,提出了2种改进不等时距灰色模型:新陈代谢不等时距加权灰色模型(MUGM(1,1,w))和改进新陈代谢不等时距灰色模型(AMUGM(1,1)).经算例仿真检验,结果表明:2种改进模型在预测精度和实用性上都优于传统UGM(1,1)模型,其中AMUGM(1,1)模型更是克服了灰色模型不含线性因素的局限,拓宽了灰色模型的适用范围,具有很好的应用价值.
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| 关 键 词： | 灰色模型 UGM(1 1)模型 MUGM(1 1 w)模型 AMUGM(1 1)模型 |
Research on Amendatory Unequal Interval Grey Model |
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| XU Shao-jie,WANG Han-zhong,WANG Nian-sheng,YANG Jiang-ping.Research on Amendatory Unequal Interval Grey Model[J].Mathematics in Practice and Theory,2011,41(8). |
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| Authors: | XU Shao-jie WANG Han-zhong WANG Nian-sheng YANG Jiang-ping |
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| Institution: | XU Shao-jie~1,WANG Han-zhong~1,WANG Nian-sheng~2,YANG Jiang-ping~1 (1.Department of Land-based Early-warning Surveiuance Equipment,AFRA,Wuhan 430019,China) (2.Huangpi Campus,Wuhan 430345,China) |
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| Abstract: | In order to overcome the shortages of the traditional unequal interval grey model (UGM(1,1)),two amendatory models were proposed,including a new metabolism unequal interval weight grey model(MUGM(1,1,w)) through background value optimized and an amendatory metabolism unequal interval grey model(AMUGM(1,1)) through model optimized. The result of simulation and comparatively analysis showed that the two amendatory models had higher accuracy and practicability than the traditional one.Furthermore,the AMUGM(1,1... |
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| Keywords: | grey model unequal interval grey model metabolism unequal interval weight grey model amendatory metabolism unequal interval grey model |
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