基于信息熵理论的随机-模糊可靠性分析方法探讨

依据信息熵理论中变量的信息熵不随变量的表述形式而改变的原则，将随机变量转换成模糊变量，或者将模糊变量转换成随机变量，然后分别采用随机可靠性、随机-模糊可靠性和模糊可靠性等分析方法对结构的强度可靠性进行分析。以压力容器为例，给出各种方法得到的结构强度可靠度结果。比较表明这些结果之间的差异很小，说明对随机、模糊变量进行互相转换，然后利用随机、随机-模糊或模糊可靠性方法求解含随机和模糊变量的结构可靠性问题是可行的。

ANALYSIS OF THE RANDOM-FUZZY RELIABILITY BASED ON THE INFORMATION ENTROPY THEORY

Based on the principle of the information entropy theory that the information entropy of a variable does not change with its expressed type, the fuzzy variables in a structural analysis were transformed into random ones or the random variables into fuzzy ones. Then, the strength reliability degree of a structure was solved out by use of the random reliability method, the random-fuzzy reliability one and the fuzzy reliability one, respectively. Finally, the strength reliability degree of a pressure vessel was given by the three methods above. The comparisons indicate that the results from the three methods are much close to one another and the transformation method is effective.