An Interactive Fuzzy Decomposition Method for Large-Scale Multiobjective Nonlinear Programming Problems

In this paper, we propose an interactive fuzzy decomposition method for large-scale multiobjective nonlinear programming problems with the block angular structure to obtain the satisficing solution for the decision maker (DM). In the proposed method, after eliciting the membership function for each of the objective functions, the satisficing solution for the DM can be obtained on the basis of the dual decomposition method from Pareto optimal solution set by updating the reference membership values interactively. An interaction processes for a numerical example under the hypothetical DM are illustrated to indicate the feasibility of the proposed method.