For a reliable multi-objective optimization design of the prow system, the conventional optimization method can not treat cases with mutually contradictory attributes. To overcome this difficulty, this paper proposes a multi-objective fuzzy reliability optimization decision method based on genetic algorithms and non-probability distribution information. The special features of the fuzzy set membership function are used to reflect the relatively important degree of the objective function and the probabilistic perturbation method and Edgeworth series technique are used to transform the incomplete probability information into the standardized normal distribution function, then a simple target model is established for each goal coordinated degree, and the conventional optimization method is used to obtain the multi-objective optimization satisfactory solution. Finally, a plow example is given to verify this method.