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区间分解法求解模糊数线性方程组
Solving Linear Fuzzy Equations by Way of Resolution of Interval Numbers
【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.
【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.
【关键词】 区间方程;
区间分解法;
区间解;
模糊解;
【Key words】 equations with interval numbers coefficients; the way of interval numbers decomposition; the interval number solution; the fuzzy solution;
【Key words】 equations with interval numbers coefficients; the way of interval numbers decomposition; the interval number solution; the fuzzy solution;
【基金】 河北建筑工程学院项目:项目编号ZL2004022
- 【文献出处】 河北建筑工程学院学报 ,Journal of Hebei Institute of Architecture and Civil Engineering , 编辑部邮箱 ,2010年04期
- 【分类号】O241.6
- 【被引频次】2
- 【下载频次】76