Abstract
In this paper, we present a primal decomposition method for multiobjective nonlinear programming problems with the block angular structure by incorporating a fuzzy goal of a decision maker for each of the objective functions. In the proposed method, after eliciting the membership functions through the interaction with the decision maker, if we adopt the add-operator for combining them, it is shown that the original problem can be decomposed into several subproblems by introducing a right-hand-side allocation vector. Then a two-level optimization algorithm to derive the satisficing solution for the decision maker is proposed. An illustrative numerical example is provided to indicate the feasibility of the proposed method.
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