关键词: Pareto遗传算法, 多目标优化, 多属性决策, 模糊熵权, 前掠翼

Abstract: In view of multi-attribute decision making(MADM) problems for ranking and selecting of multi-objective optimization results, the multi-objective optimization method based on MADM is proposed by combining the multi-objective optimization with MADM. The multi-objective aerodynamic and stealthy performance of transonic forward-swept wing(FSW) is solved by the proposed method, which can improve the aerodynamic and stealthy performance of transonic FSW effectively. The class-shape function transformation(CST) method is used to describe the parameterized airfoil geometry. The parameterized models for aerodynamic and stealthy performance of FSW are constructed. The aerodynamic analysis model of FSW is constructed by computational fluid dynamics method based on N-S equations. The stealthy performance analysis model of FSW is constructed by computational electromagnetics method based method of moments. The MADM decision matrix is constructed by the Pareto optimal solutions set solved from Pareto multi-objective genetic algorithm, the modified technique for order preference by similarity to ideal solution(M-TOPSIS) approach based on fuzzy entropy weight is employed to rank the Pareto optimal solutions and ultimately to identify the best Pareto solution. The results of the investigation show that the present method is effective, and a new solving approach is provided to the multi-objective optimization problem.

Key words: Forward swept wing (FSW), Fuzzy entropy weight, Multi-attribute decision making, Multi-objective optimization, Pareto genetic algorithm