Abstract In max-min fuzzy algebra, the study of eigenvectors is important because it can help us to recognize the steady states of systems working in discrete steps. This paper investigates the properties of steady states described by max-min matrices and vectors with interval coefficients. The characteristics of the eigenspace structure and polynomial-time algorithms for recognition of tolerable and weakly-tolerable interval eigenvectors in max-min algebra are described. This research is a continuation of an earlier investigation concerning strongly-tolerable interval eigenvectors.

中文翻译：

---

模糊代数中区间特征向量的容差和弱容差

摘要 在最大最小模糊代数中，特征向量的研究很重要，因为它可以帮助我们识别以离散步骤工作的系统的稳态。本文研究了由具有区间系数的最大-最小矩阵和向量描述的稳态的性质。描述了用于识别最大-最小代数中可容忍和弱可容忍区间特征向量的特征空间结构和多项式时间算法的特点。这项研究是早期关于强容忍区间特征向量的研究的延续。