This paper provides a thorough investigation on the resolution of a finite system of fuzzy
relational equations with sup-T composition, where T is a continuous triangular norm. When …

Previous studies have shown that fuzzy relational equations (FREs) based on either the max-
continuous Archimedean t-norm or the max-arithmetic mean composition can be …

Analytical methods and algorithms for inverse problem resolution of fuzzy linear systems of
equations in some BL-algebras (Gödel algebra in case of max–min and min–max …

We study a nonlinear optimization problem with a system of fuzzy relational equations as its
constraints. We firstly investigate the resolution of the feasible region when it is defined with …

In fuzzy set theory, triangular norms (t-norm for short) and triangular co-norms (t-conorm for
short) play a key role by providing generic models for intersection and union operations on …

This paper studies the solvability of the max-product fuzzy relation equations in which a
negation operator is considered. Specifically, the residuated negation of the product t-norm …

In this paper, optimization of a linear objective function subject to a generalized fuzzy
relational inequalities is investigated in which an arbitrary continuous t-norm is considered …

In this paper, we study an optimization problem of minimizing a linear function subject to
fuzzy relational inequalities with the addition-min composition. This optimization setting has …

In this paper we study systems of fuzzy relation inequalities and equations of the form U∘
Vi≤ Vi∘ U (i∈ I), where U is an unknown and Vi (i∈ I) are given fuzzy relations, the dual …

The problem of solving a system of fuzzy relational equations with max-Archimedean t-norm
composition is studied. It is shown that this problem is closely related to the covering …