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Computer network reliability receives much concern. People's life has been inseparable from computer network. In this paper, according to the determined selection principles of computer network reliability evaluation indexes, 5 first-level indexes and 19 second-level indexes are selected to structure the computer network reliability evaluation system. Using the analytic hierarchy process (AHP) to determine the weight of each index, computer network reliability can be divided into five levels, that is, very reliable, reliable, general, poor, and very poor. Through expert evaluation, fuzzy mathematical evaluation model is established and the simulation experiment was carried out. The fuzzy mathematical evaluation model of computer network reliability is professional, scientific, and reasonable, which provides theoretical basis for the development of computer network.