An objective function for increasing the transmission efficiency and reliability of the planetary system and trying our best to reduce the weight is set up

through the linear weighted function method

the mathematical model of objective function is established.The weighting factors is determined by using the method of design variables normalization.Based on the fuzzy mathematics theory of reliability constraints and geometric constraint

the optimal design is carried out by using optimization toolbox in Matlab.To ensure the optimal parameter to meet the global optimal solution of objective function

stack calculation of the three local optimal solution are carried out.Through an example show that

by using multi-objective optimization method of fuzzy reliability design

the transfer efficiency and stability of the system are improved

the quality of the planet gear train is also reduced.