论文标题
带有加法的模糊关系方程的解决方案集
The solution set of fuzzy relation equations with addition-min composition
论文作者
论文摘要
本文介绍了具有加法成分的模糊关系方程的分辨率。当模糊关系方程有解决方案时，我们首先提出了一种算法，以找到模糊关系方程的所有最小解，并提供算法以查找模糊关系方程的所有最大溶液，该方程将分别通过数字示例来说明。然后，我们证明模糊关系方程的每个解决方案都是在最小解和最大解决方案之间，因此我们完全描述了模糊关系方程的解决方案集。
This paper deals with the resolutions of fuzzy relation equations with addition-min composition. When the fuzzy relation equations have a solution, we first propose an algorithm to find all minimal solutions of the fuzzy relation equations and also supply an algorithm to find all maximal solutions of the fuzzy relation equations, which will be illustrated, respectively, by numeral examples. Then we prove that every solution of the fuzzy relation equations is between a minimal solution and a maximal one, so that we describe the solution set of the fuzzy relation equations completely.
