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泛灰数学及其在机构误差分析中的应用
引用本文:罗佑新,蔡安辉,郭惠昕,张龙庭. 泛灰数学及其在机构误差分析中的应用[J]. 湖南文理学院学报(自然科学版), 2001, 13(3): 74-77,70
作者姓名:罗佑新  蔡安辉  郭惠昕  张龙庭
作者单位:常德师范学院机械工程系
摘    要:在概述泛灰数的概念及其运算规则的基础上,介绍了泛灰数与区间数的转化,利用泛灰数的可扩展性对区间进行分析,研究了泛灰线性方程求解,然后将它应用于机构误差分析中,泛灰数不仅具有区间分析的功能,而且能解决区间分析所不能解决的问题.它为机构误差分析提供了新的方法.最后给出了算例作了对比分析.

关 键 词:泛灰数学  灰色系统  误差分析  机构学
文章编号:1009-3818(2001)03-0074-04
修稿时间:2001-04-02

Universal Grey Number and its Application to Mechanical Error
LUO You-xin CAI An-hui GUO Hui-xin ZHANG Long-ting. Universal Grey Number and its Application to Mechanical Error[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2001, 13(3): 74-77,70
Authors:LUO You-xin CAI An-hui GUO Hui-xin ZHANG Long-ting
Abstract:Based on the concept of universal Grey number and the rules of four algebraic operation of universal Grey number,it is introduced that universal Grey number is changed into interval Grey number,then give interval analysis with extensible characteristic of universal Grey number and the solution to universal Grey linear equations. Universal Grey function can deal with some problems that Grey number or interval analysis can't. Then it is used in mechanical error that proved more useful than Interval Analysis. At last, an example is given.
Keywords:universal grey mathematics  grey system  error analysis  mechanism
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