抄録
In this paper, we focus on multi-level multiobjective programming problems with block angular structures where multiple decision makers in a hierarchical organization have their own multiple objective functions, and propose an interactive algorithm based on the primal decomposition method to obtain the satisfactory solution which reflects the hierarchical relationships between multiple decision makers. In the proposed algorithm, assuming that each of the decision makers has fuzzy goals for his/her objective functions, corresponding membership functions are elicited from the decision makers in their subjective manner. In order to deal with the fuzzy multi-level multiobjective programming problem, the concept of decision powers for multiple decision makers in a hierarchical decision structure are introduced. After each of the decision makers specifies his/her decision power, the corresponding programming problem is solved efficiently on the basis of the primal decomposition method, and the candidate of the satisfactory solution is obtained. If at least one of the decision makers is not satisfied with the current values of the membership functions, he/she updates his/her decision power and the corresponding programming problem is formulated and solved.
