Solving a non-linear optimization problem in the presence of Yager-FRE constraints

Yager family of t-norms is a parametric family of continuous nilpotent t-norms which is also one of the most frequently applied one. This family of t-norms is strictly increasing in its parameter and covers the whole spectrum of t-norms when the parameter is changed from zero to infinity. In this paper, we study a nonlinear optimization problem where the feasible region is formed as a system of fuzzy relational equations (FRE) dened by the Yager t-norm. We rstly investigate the resolution of the feasible region when it is denfied with max-Yager composition and present some necessary and sucient conditions for determining the feasibility and some.