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Aviation accidents caused by maintenance errors have increased year after year. It is necessary to carry out the safety risk management during the aviation maintenance process. There are a lot of uncertainty factors in the process of safety risk management. The research in this paper focuses on formulating a fuzzy analytical hierarchy process (Fuzzy AHP) to solve it. The priority weights of factors that affect aircraft's flying safety can be calculated. The approach not only objectively assesses the safety status and identifies the hazards during the process of aviation maintenance, but also improves the safety level of civil aviation.