对称模糊优化模型评价函数解法  

Judgement function solution of symmetric fuzzy optimization

作　　者：吴卫东[1] 黄洪钟[1] 李海滨[1] 

机构地区：[1]大连理工大学机械工程学院

出　　处：《大连理工大学学报》2003年第3期315-319,共5页Journal of Dalian University of Technology

基　　金：教育部优秀青年教师基金资助项目(1766);国家自然科学基金资助项目(59685003);油气藏地质及开发工程国家重点实验室开放基金资助项目(PLN0102).

摘　　要：提出一种通过截集水平耦合各子目标满意度函数构造评价函数,进行对称模糊优化模型求解的新方法.该方法利用可变权函数动态协调目标集间以及目标集与水平截集的相互作用关系,使评价函数达到最大值,不仅避免了常规直接解法和迭代解法对模型转换带来的不便,而且能够对所建立的目标集和各子目标满意度进行客观评价.给出了两个实例进行验证.A new solution-finding method of the symmetric fuzzy optimization is developed, and the method is realized through the level cut set coupling with each sub-objective's satisfactory function to construct the judgement function. The method can dynamically adjust the relationship among the objective sets and the relationship between the objective set and the level cut set by the variable weight function to obtain the maximum value of the judgement function. The method not only can avoid inconvenience to the model transformation caused by the classical direct method and the iteration method, but also can make an objective judgement on the objective set and the satisfactory level of each sub-objective. At last two illustrative examples are given.

关 键 词：对称模糊优化模型 目标满意度函数 评价函数 机械设计 权函数 目标集 水平截集 

分 类 号：TH122[机械工程—机械设计及理论]