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Fuzzy k-NN classification is well-known in data mining, and genetic algorithm is ever been applied to calculate the parameter k and m of fuzzy k-NN, named IFKNN. This paper proposes a new fuzzy k-NN classification method by using genetic algorithm(NFKNN), which need less time and increases classification correct rate. We have verified the efficiency of our methods by theoretical analysis and experiments. The experiments are extensive and comprehensive, we compared each improvement with IFKNN, and we also executed the NFKNN on real datasets and obtained the useful results.