For the purpose of multi-objective optimization of finger seal with different preference requirements in engineering application

the fuzzy comprehensive evaluation was introduced into Nash equilibrium game

and performance optimization model with uncertain payoff of finger seal was built.By using the presented model

the performance multi-objective optimization problems with uncertain preference requirement for finger seal were researched.As compared with exiting methods

the results show that the presented method can not only effectively reflect the different response requirements of optimization objectives

but also significantly reduce the decision-making difficulty of multi-objective optimization for finger seal performances.Furthermore

the finger seal structure obtained through presented multi-objective method has good performances.