结构随机模糊优化设计的集约化综合法

Synthetic Set Reduction Method of Structural Random.Fuzzy Optimal Design

本文提出的方法是我们过去提出的满足度方法的发展,它能对一般的随机模糊事件进行定量的处理.为此,本文首先定义了约化映射和广义直接映射,然后用具有实际意义的工程例子说明了这些映射的应用背景.本文根据所定义的综合运算把通过集约化得到的描述随机模糊事件不确定性之模糊集合的模糊性约化掉,得到了随机模糊事件不确定性的集约化综合度量,并由此建立了结构随机模糊优化设计的集约化综合方法.

Structural random fuzzy optimal design is a new design theory ofcombining the methods of treating uncertain information with those ofseeking optimization.It is a more proper realization of the structural softdesign idea which was proposed by us two years ago.Also it is moregeneral than the structural reliability design method which is widely ac-cepted now.This method can treat both the random information and fuzzyinformation contained in structural design process.The method in this paper is the development of the satisfaction degreemethod proposed by us before.This method can treat the most generalrandom fuzzy event.Therefore,the definitions of reduction projection and general direct projection are firstly given.Then a real engineering exam-ple is chosen to illustrate the application background of these defini-tions.By using the defined synthetic operation,the fuzziness of the fuzzyset obtained through the set reduction method,representing the uncertaintyof a random fuzzy event,is reduced,and the synthetic set reductionmeasurement is derived for describing the uncertainty of the random fuzzyevent.Based on these results,the synthetic set reduction method of struc-tural random fuzzy optimal design is finally established.