A model for a type of fuzzy nonlinear programming problems (FNP)is proposed. This paper develops an inexact approach to solve this typemodel of nonlinear programming problems. Instead of finding an exactoptimal solution. This approach uses a genetic algorithm (GA) withmutation along the weighted gradient direction to find a family ofsolutions with acceptable membership degrees. Then by means ofhuman-computer interaction, the solution preferred by the decision maker(DM) under different criteria can be achieved
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