Abstract Using the concept of ( K , L ) -eigenvector, we investigate the structure of the max-min eigenspace associated with a given eigenvalue of a matrix in the max-min algebra (also known as fuzzy algebra). In our approach, the max-min eigenspace is split into several regions according to the order relations between the eigenvalue and the components of x. The resulting theory of ( K , L ) -eigenvectors, being based on the fundamental results of Gondran and Minoux, allows to describe the whole max-min eigenspace explicitly and in more detail.

中文翻译：

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(K,L)-max-min 代数中的特征向量

摘要 使用 ( K , L ) - 特征向量的概念，我们研究了与最大-最小代数（也称为模糊代数）中矩阵的给定特征值相关联的最大-最小特征空间的结构。在我们的方法中，根据特征值和 x 分量之间的顺序关系，最大-最小特征空间被分成几个区域。基于 Gondran 和 Minoux 的基本结果，由此产生的 ( K , L ) - 特征向量理论允许明确且更详细地描述整个最大-最小特征空间。