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区间分解法求解模糊数线性方程组
引用本文:李香玲,吴占兵,赵书银.区间分解法求解模糊数线性方程组[J].河北建筑工程学院学报,2010,28(4).
作者姓名:李香玲  吴占兵  赵书银
作者单位:1. 河北建筑工程学院,数理系
2. 河北北方学院
基金项目:河北建筑工程学院项目:
摘    要:首先采取作λ水平截集的办法将模糊数线性方程组转化为区间方程,根据区间数的运算规则以及区间数的分解求解区间方程,然后利用模糊分解定理由区间解得到模糊解,最后给出了Matlab的求解程序.

关 键 词:区间方程  区间分解法  区间解  模糊解

Solving Linear Fuzzy Equations by Way of Resolution of Interval Numbers
Li Xiangling,Wu Zhanbin,Zhao Shuyin.Solving Linear Fuzzy Equations by Way of Resolution of Interval Numbers[J].Journal of Hebei Institute of Architectural Engineering,2010,28(4).
Authors:Li Xiangling  Wu Zhanbin  Zhao Shuyin
Affiliation:Li Xiangling; Wu Zhanbin; Zhao Shuyin 1.Department of Mathematics and Physics; Hebei Institute of Architecture and Civil Engineering2.Hebei North Institute;
Abstract:In this thesis,we first turn fuzzy solution eguations into the equations with interval numbers coefficients by the way of λ-act.Secondly,using the calculation rules and the decomposition theorem of interval numbers,we can solve the equations and acquire interval number solutions.Then,we fuzzy solution form from the interval number solution by using fuzzy resolution theorem.Lastly,we provide a program for computer to solve the equations by way of resolution of interval numbers.
Keywords:equations with interval numbers coefficients  the way of interval numbers decomposition  the interval number solution  the fuzzy solution
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