摘要
本文提出了进行结构随机模糊优化设计的一种新方法——广义可靠度法。这种方法的基础是,首先构造出与某个随机模糊数相应的模糊测度,然后在该模糊测度的意义下,根据模糊积分的概念,定义此随机模糊数落在某一模糊区间的广义可靠度。这样就可以用广义可靠度来度量随机模糊包含关系的不确定性,进而可以用它建立随机模糊规划中关于目标和约束的决策函数。最后建立起求解模型,求出合适解。
A new method——the general reliability method——for structural random fuzzy optimal design is proposed in this paper.The basis of this method is firstly to construct a fuzzy measure corresponding to a random fuzzy number,then according to the concept of fuzzy integration, the general reliability of the random fuzzy number falling into a fuzzy interval is defined and calculated under the meaning of the above fuzzy measure.Therefore,it can be used to measure the uncertainty included in a random fuzzy inclusion relationship between two random fuzzy sets. Furthermore,it could be used to establish the decision functions for objec- tives and constrains in random fuzzy programming.Finally,the solution finding model is set up,and the suitable solution is obtained.
基金
国家自然科学基金和建设部资助项目
关键词
广义可靠度
随机模糊
结构
设计
general reliability
fuzzy measure
fuzzy integration
