Abstract
In this paper, we focus on multiobjective structured 0-1 programming problem(block angular type) involving fuzzy parameters to consider the experts' imprecise or fuzzy understanding of the nature of the parameters in the problem-formulation process. To begin with, multiobjective block angular 0-1 programming problems with fuzzy parameters and the concept of their solutions are described. Then, the α-multiobjective 0-1 programming problems such as the value of each parameter included in the problem is set to the most desirable one for the decision maker whose membership value is greater than or equal to α and the corresponding α-Pareto optimality concept as a natural extention of Pareto optimality concept are defined. Next, in order to take advantage of the special structure of problems, an interactive method through a genetic algorithm with decomposition procedures is proposed and explained in detail. Finally, both feasibility and effectiveness of the proposed method is discussed on the basis of results of simple numerical experiments.
