This paper discusses the linear optimization problem constrained by a system of bipolar
fuzzy relational equations with max-T T composition, where the involved triangular norm is …

In this article, we study the inconsistency of systems of max-min fuzzy relational equations.
We first compute by an explicit analytical formula the Chebyshev distance (defined by the L …

This paper investigates bipolar max-min equations which can be viewed as a generalization
of fuzzy relational equations with max-min composition. The relation between the …

In this article, we study the inconsistency of systems of fuzzy relational equations based
either on the max-product composition or on the max-Lukasiewicz composition. Given an …

In this article, we study the approximate solutions set $\Lambda_b $ of an inconsistent
system of $\max-\min $ fuzzy relational equations $(S): A\Box_ {\min}^{\max} x= b $. Using …

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 …

This paper discusses fuzzy relational equations with min-biimplication composition where
the biimplication is the biresiduation operation with respect to the Łukasiewicz t-norm. It is …

When a system of max-min equations is inconsistent, which is frequently encountered in
modelling with fuzzy relations, the approximate solutions may be considered instead within …

The solution set of a consistent system of fuzzy relational equations with max-min
composition can be characterized by one maximum solution and a finite number of minimal …

This paper considers the problem of computing the approximate inverses of a fuzzy matrix
under max-min composition. A polynomial-time algorithm is proposed to construct an …