A coordination method for fuzzy multi-objective optimization of system reliability

A fuzzy directed graph is used to represent the dynamic relationships among the sub-objectives of a fuzzy multiobjective optimization problem. Using the comprehensive coordination function with exponential weights, we transform a fuzzy multi-objective optimization problem into a single-objective optimization problem. The optimal solution of the single-objective optimization problem can then be obtained with conventional single-objective optimization methods. The optimal solution represents the best trade-off among the possibly conflicting sub-objectives in the original optimization problem. An illustrative example is given to illustrate the effectiveness of the proposed approach.