An hierarchical interactive decision making method for bilevel programming

The bilevel-programming with the hierarchical structure is discussed. In this case, it is indicated that the higher-level or lower-level gives all profits to the other level. However, if decision makers are not satisfied with this method, one should be worked out to present the hierarchical structure. In this paper, an optimization of hierarchical interactive decision making, applicable to the bilevel linear programming with multiple parallel sub-problems in the lower-level, is explored to present the hierarchical structure.