期刊文献+

区间灰数表征与算法改进及其GM(1,1)模型应用研究 被引量:58

Study on Improvement of Token and Arithmetic of Interval Grey Numbers and Its GM(1,1) Model
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摘要 针对目前区间灰数的表征和运算过程中存在着较为严重的问题 ,即 :运算结果对灰数的灰度进行不必要的放大 ,造成信息的严重失真 ,笔者定义了标准区间灰数与第一和第二标准区间灰数的概念 ,分析了第一和第二标准区间灰数之间的关系 ,进一步设计了普通区间灰数与标准区间灰数之间的转换规则 ,提供了标准区间灰数之间的比较与运算法则 ,较好地解决了区间灰数之间的大小比较与运算问题。最后 ,将这一研究成果应用于基于区间数的GM (1,1)模型预测问题 ,取得了良好的效果。 Aimed at the severe problems in tokens and computations of grey nu mb ers, which expanded unnecessarily and distorted the information heav ily, this paper defined the standard interval grey number and the first and the second standard grey number, and analyzed their relationship. Furthermore, it de si gned the transformation rule from general grey number to the standard interval g rey number, and developed the operation principle of the standard interval grey number to solve preferably the above problems. Last, the paper established the G M (1,1) model based on the interval grey number and got a good effect.
出处 《中国工程科学》 2005年第2期57-61,共5页 Strategic Study of CAE
基金 国家自然科学基金资助项目 (70 473 0 3 7) 国家教育部博士学科点科研基金资助项目 (2 0 0 2 0 2 870 0 1) 江苏省自然科学基金重点资助项目 (BK2 0 0 3 2 11) 江苏省研究生创新计划项目 南京航空航天大学创新集体基金项目 南京航天航空大学科研创新基金项目
关键词 区间灰数 标准区间灰数 表征 GM(1 1)模型 运算规则 interval grey number standard interval grey number token GM(1, 1) model computation rules
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参考文献8

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