A new algorithm for nonlinear mathematical programming based on fuzzy inference

A new algorithm based on fuzzy inference is proposed for nonlinear mathematical programming. The characteristics of nonlinear programming are that the exact function relationship between the objective function and the decision variables is unknown; the only information to be utilized about it is somewhat "If-Then" fuzzy inference rules. Thus, neuron-fuzzy learning algorithm is adopted to train and learn these fuzzy inference rules so as to determine an approximating function for the objective function. Finally, the proposed theoretical algorithm is applied to a nonlinear programming example and the simulation result is satisfactory.