In this article, we study the inconsistency of a system of $\max$-product
fuzzy relational equations and of a system of $\max$-Lukasiewicz fuzzy
relational equations. For a system of $\max-\min$ fuzzy relational equations $A
\Box_{\min}^{\max} x = b$ and using the $L_\infty$ norm, (Baaj, 2023) showed
that the Chebyshev distance $\Delta = \inf_{c \in \mathcal{C}} \Vert b - c
\Vert$, where $\mathcal{C}$ is the set of second members of consistent systems
defined with the same matrix $A$, can be computed by an explicit analytical
formula according to the components of the matrix $A$ and its second member
$b$. In this article, we give analytical formulas analogous to that of (Baaj,
2023) to compute the Chebyshev distance associated to the second member of a
system of $\max$-product fuzzy relational equations and that associated to the
second member of a system of $\max$-Lukasiewicz fuzzy relational equations.

本文研究了一组 max-product 模糊关系方程组和一组 max-Lukasiewicz 模糊关系方程组的不一致性，并提供了类似于 Baaj（2023）的分析公式，用于计算与其关联的 Chebyshev 距离。