An interactive fuzzy programming approach for the two-level linear programming problem with many leaders

In this paper, the two-level linear programming problem with at least two leaders and one follower is considered. To find a satisfactory solution for the problem, an interactive fuzzy programming approach is introduced. The method is aimed so that all the decision makers at the upper level achieve their minimum satisfaction levels together with the suitable satisfaction balance between the decision maker at the lower level and each decision maker at the upper level. So as to exemplify the method, a numerical example is given. Additionally, it is shown that a k-level programming problem can also be changed into a two-level programming problem with k-1 decision makers at the upper level. AMS subject classification: 90C05, 90C26, 90C70.