Reliability Assessment Of The System Under Fuzzy Random Condition

Thesis mainly studies the fuzzy case system reliability analysis. In fact, there are many fuzzy situation, using the traditional reliability analysis methods cannot obtain satisfactory results, so in the solution actual problem combined fuzzy set theory and reliability analysis is very necessary.In this paper, the content is divided into four parts:The first part is the basic knowledge of fuzzy set theory and reliability theory and make a simple introduction. Detailed introduces the traditional fault tree analysis and fuzzy fault tree analysis, presenting the basic steps of the fault tree model is set up, various kinds of commonly used types of membership function and reliability, etc.The second part of the selection of household gas system as the research object, use the fuzzy fault tree analysis method for the quantitative evaluation of qualitative analysis. For incident probability cannot get accurate values, with the method of expert advice given its probability. In opinion integration process, this paper puts forward a new method, with opinio n superposition times to get the weight of each expert opinions, finally get the fuzzy probability of basic events, the required reliability index is obtained by fuzzy probability.The third part studies the state of much take a weighted fuzzy reliability of the system, and the system in practical application is very extensive, the paper on the different situations were analyzed respectively, and the fuzzy problems and gives examples to illustrate. This paper will be the system reliability analysis to different fuzzy cases, using the universal generating function method for reliability analysis, finally get the availability of different actual system.