Real-coded quantum evolutionary algorithm and Modal Interval Analysis were combined to solve dififcult problems in Modal Interval Analysis. Used real-coded quantum evolutionary algorithm to solve modal interval liner equations and inverse matrix of modal interval matrix. And then used real-coded quantum evolutionary algorithm and Modal Interval Analysis in overall performance design of aero-engine. Design method of overall performance of aero-engine based on Modal Interval Analysis wass presented , which can analysis design uncertainty. Took a certain type of turbojet engine as an example to calculate and design the results are more in line with the actual situation.%本文将实数编码量子进化算法和模态区间数学相结合用于解决模态区间数学中的某些难以求解的问题。应用量子进化算法进行了模态区间数学方程组的求解和模态区间矩阵的求逆，将量子进化算法和模态区间数学用于航空发动机的设计，给出了基于模态区间数学的航空发动机总体性能设计方法。这种设计方法能够考虑设计的不确定性。并以某型涡喷发动机为例进行计算，设计结果更符合实际情况。
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