Solving a Linear Programming Problem with The Convex Combination of the max-min And max-max fuzzy Relation Equations

In this paper we have considered a linear programming problem with the convex combination of the max-min and the max-max fuzzy relation equations and determined thefeasible region for these constraints. We provide a necessary and sufficient condition for obtain the feasible region for this problem that it is normally non convex. Also we have presented a method to solve the linear optimization problem with this operator. At the end of the paper, a numerical example is given to illustrate the method

Keywords:

Fuzzy Relation Equation , Fuzzy Optimization