| 一个关于Fuzzy关系方程是否有解的等价判别定理 |
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| 引用本文： | 赵梁红. 一个关于Fuzzy关系方程是否有解的等价判别定理[J]. 模糊系统与数学, 2001, 15(3): 30-35 |
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| 作者姓名： | 赵梁红 |
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| 作者单位： | 绍兴文理学院数学系 |
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| 摘 要： | Fuzzy关系方程已经广泛地应用于Fuzzy综合评判、Fuzzy控制等领域。本文通过直接比较Fuzzy关系方程的系数与常数的大小，给出一个判别所给的Fuzzy关系方程是否有解的行之有效的简便方法，并且在有解时还给出求其最大解、极小解及解集的方法。
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| 关 键 词： | Fuzzy关系方程 系数矩阵 比较矩阵 最大解 极小解 判别定理 |
| 文章编号： | 1001-7402(2001)03-0030-06 |
| 修稿时间： | 2000-03-11 |
An Equivalent Distinguishing Theorem about Whether There Is Any Solution on Fuzzy Relation Equation |
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| ZHAO Liang hong. An Equivalent Distinguishing Theorem about Whether There Is Any Solution on Fuzzy Relation Equation[J]. Fuzzy Systems and Mathematics, 2001, 15(3): 30-35 |
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| Authors: | ZHAO Liang hong |
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| Abstract: | Fuzzy relation equation has been widely applied in Fuzzy synthetical judgement, Fuzzy control and other field. By comparing big and small numbers between equation's coefficient and equation's constant, we give a simple and effective method on how to distinguish whether there is any solution on the given Fuzzy relation equation. And we still give some methods to solve its maximum solution,minimum solution and solution set when there is the solution. |
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| Keywords: | Fuzzy Relation Equation Coefficient Matrix Comparison Matrix Maximum Solution Minimum Solution Solution Set |
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