Matrix elementary transformations in solving systems of fuzzy relation equations

Matrix elementary transformations in solving systems of fuzzy relation equations
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模糊关系方程组求解中的矩阵初等变换

DOI:
10.1016/j.asoc.2015.02.020
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发表时间:
2015-06
影响因子:
8.7
通讯作者:
Tain-fei Wang
Tain-fei Wang
中科院分区:
计算机科学2区
文献类型:
--
作者:
Xiao-bing Qu;Feng Sun;Tain-fei Wang

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本文考虑一种用矩阵初等变换求解模糊关系方程组的方法,它类似于线性代数系统中的方法。比较了模糊关系方程组在进行初等变换前后的解集。我们还给出了一些初等变换不改变解集的充要条件。
In this paper, we consider a method using matrix elementary transformations, which is similar to the method in linear algebraic systems, for solving systems of fuzzy relation equations. The solution sets of a system of fuzzy relation equations before and after performing some elementary transformations are compared. We also give some necessary and sufficient conditions for some elementary transformations which do not change the solution sets.
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