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Study of Unconventional Reliability Measure Methods in the Case of Several Uncertainties Coexisting |
Li Lingling, Duan Chaoying, Li Zhigang |
Province-Ministry Joint Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability Hebei University of Technology Tianjin 300130 China |
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Abstract A variety of uncertainties including randomness, fuzziness and incomplete credibility coexist in reality. Even though this situation is common, it is not fully researched. An unconventional method is proposed which can deal with above-mentioned uncertainties. This method is based on fuzzy theory and cloud theory. First, make the incomplete credibility information of fuzzy stress and intensity variables cloudization by using the theory of cloud. And get the Gaussian cloud formed interval-valued Fuzzy sets which are described by the upper and lower membership functions at different credibility. Then, deal with upper and lower membership functions to make them have the mathematical characteristics of probability density function. In this way, the upper and lower limit values can be calculated with conventional stress-intensity interference model and a reliability interval can be constructed. At last, the reliability measure results curve which consists of a series of reliability intervals and their corresponding credibility can be obtained. The method not only can deal with a variety of uncertainties comprehensively, but also can keep more information in reliability measure results.
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Received: 30 July 2014
Published: 25 May 2015
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