In this article, we study the inconsistency of a system of $\max-T$ fuzzy
relational equations of the form $A \Box_{T}^{\max} x = b$, where $T$ is a
t-norm among $\min$, the product or Lukasiewicz's t-norm. For an inconsistent
$\max-T$ system, we directly construct a canonical maximal consistent subsystem
(w.r.t the inclusion order). The main tool used to obtain it is the analytical
formula which compute the Chebyshev distance $\Delta = \inf_{c \in \mathcal{C}}
\Vert b - c \Vert$ associated to the inconsistent $\max-T$ system, where
$\mathcal{C}$ is the set of second members of consistent systems defined with
the same matrix $A$. Based on the same analytical formula, we give, for an
inconsistent $\max-\min$ system, an efficient method to obtain all its
consistent subsystems, and we show how to iteratively get all its maximal
consistent subsystems.

研究了形式为 A Box_T^max x = b 的 max-T 模糊关系方程系统的不一致性，并提出了直接构造规范最大一致子系统的方法，其中使用了计算与不一致 max-T 系统相关的 Chebyshev 距离的分析公式。基于相同的分析公式，提供了一种有效的方法来获取不一致 max-min 系统的所有一致子系统，并展示了如何迭代地获取所有最大一致子系统。