多目标模糊优化方法及其在可靠性设计中的应用

在基于模糊机会约束规划理论基础上,对多目标模糊优化方进行研究,通过模糊模拟求解模糊目标函数的理想极大值和极小值,建立了多目标优化问题的模糊机会约束规划模型,并给出了基于模糊模拟的遗传算法求解方法.通过对一个无约束处理的常规双目标模糊可靠性优化问题实例求解,验证了多目标模糊模拟遗传算法的有效性,并指出该算法的优点在于能较好处理多目标优化问题的分目标量纲不同及其函数值之间差距较大的情况.

Multi-objective fuzzy optimization and its applicantions to reliability design

On the base of fuzzy chance constrained theory, study on the Multi-objective Fuzzy optimization, Provides a fuzzy chance constrained programming model of Multi-objective optimization based on the maximum and minimum of the fuzzy objection function that calculates by fuzzy simulated, and provides the process of a fuzzy simulated based genetic algorithm to solve this problem. Verified the genetic algorithm based on fuzzy simulation of multi-objective is validity, by the solution of a two-objective optimization of fuzzy reliability without constrained, and the virtue of the algorithm can solve the problem better that the dimension of sub-objections are different and the gaps of sub-objective functions are large .