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In this article, we study the inconsistency of a system of $\max$-productfuzzy relational equations and of a system of $\max$-Lukasiewicz fuzzyrelational equations. For a system of $\max-\min$ fuzzy relational equations $A\Box_{\min}^{\max} x = b$ and using the $L_\infty$ norm, (Baaj, 2023) showedthat the Chebyshev distance $\Delta = \inf_{c \in \mathcal{C}} \Vert b - c\Vert$, where $\mathcal{C}$ is the set of second members of consistent systemsdefined with the same matrix $A$, can be computed by an explicit analyticalformula 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 asystem of $\max$-product fuzzy relational equations and that associated to thesecond member of a system of $\max$-Lukasiewicz fuzzy relational equations.

Chebyshev distances associated to the second members of systems of Max-product/Lukasiewicz Fuzzy relational equations