Hybrid algorithm procedure includes two phases. In the first phase, we
applieda fuzzy Max–Minalgorithm procedure which is developed by [16],Osman et al. (2004), for generating Pareto optimal solution to determine three-level multi objective
Stackelberg solutions. Then, in the second phase,we develop a search
algorithm to find best values of lot size and the number of replenishment cycle for
three levels.