We derived the purchase airplane decision values and purchase airplane fuzzy decision thresholds by fuzzy set theory and real option game methods for leader and follower in airlines. Then, this paper to evaluate the decision variable effects on fuzzy decision thresholds for leader and follower by numerical analysis and sensitivity analysis. The conclusions of this paper are as follows: volatility, investment cost and risk-free interest rate has the positive relation with the decision thresholds. The instantaneous growth rate has the negative relation with the decision thresholds.