Weakly linear systems of fuzzy relation inequalities: The heterogeneous case

Weakly linear systems of fuzzy relation inequalities: The heterogeneous case

New types of systems of fuzzy relation inequalities and equations, called weakly linear, have been recently introduced in [J. Ignjatović, M. Ćirić, S. Bogdanović, On the greatest solutions to weakly linear systems of fuzzy relation inequalities and equations, Fuzzy Sets and Systems 161 (2010) 3081–3113.]. The mentioned paper dealt with homogeneous weakly linear systems, composed of fuzzy relati...

On the greatest solutions to weakly linear systems of fuzzy relation inequalities and equations

In this paper we study systems of fuzzy relation inequalities and equations of the formU ◦Vi 6 Vi ◦U (i ∈ I), where U is an unknown and Vi (i ∈ I) are given fuzzy relations, the dual systems Vi ◦ U 6 U ◦ Vi (i ∈ I), their conjunctions, the systems of the formU◦Vi = Vi◦U (i ∈ I), and certain special types of these systems. We call themweakly linear systems. For each weakly linear system, with a ...

Linear optimization of fuzzy relation inequalities with max-Lukasiewicz ‎composition

In this paper, we study the finitely many constraints of fuzzy relation inequalities problem and optimize the linear objective function on this region which is defined with fuzzy max-Lukasiewicz operator. In fact Lukasiewicz t-norm is one of the four basic t-norms. A new simplification technique is given to accelerate the resolution of the problem by removing the components having no effect on ...

linear optimization of fuzzy relation inequalities with max-lukasiewicz ‎composition

in this paper, we study the finitely many constraints of fuzzy relation inequalities problem and optimize the linear objective function on this region which is defined with fuzzy max-lukasiewicz operator. in fact lukasiewicz t-norm is one of the four basic t-norms. a new simplification technique is given to accelerate the resolution of the problem by removing the components having no effect on ...

On the max - ``Fuzzy Or'' composition fuzzy inequalities systems