This book examines fuzzy relational calculus theory with applications in various engineering
subjects. The scope of the text covers unified and exact methods with algorithms for direct …

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 …

In this paper we investigate the problem of minimizing a linear objective function subject to a
fuzzy relational equation constraint. A necessary condition for optimal solution is proposed …

We consider a generalization of the linear optimization problem with fuzzy relational (in)
equality constraints by allowing for bipolar max–min constraints, ie constraints in which not …

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 …

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 the literature, a necessary condition for minimal solutions of a fuzzy relational equation
with max-product composition shows that each of its components is either zero or the …

In this paper, we study the new linear objective function optimization with respect to the fuzzy
relational inequalities defined by max–min composition in which fuzzy inequality replaces …