Journal of Applied Mathematics

Reliability Analysis in Presence of Random Variables and Fuzzy Variables

Cui Lijie, Lü Zhenzhou, and Li Guijie

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Abstract

For mixed uncertainties of random variables and fuzzy variables in engineering, three indices, that is, interval reliability index, mean reliability index, and numerical reliability index, are proposed to measure safety of structure. Comparing to the reliability membership function for measuring the safety in case of mixed uncertainties, the proposed indices are more intuitive and easier to represent the safety degree of the engineering structure, and they are more suitable for the reliability design in the case of the mixed uncertainties. The differences and relations among three proposed indices are investigated, and their applicability is compared. Furthermore, a technique based on the probability density function evolution method is employed to improve the computational efficiency of the proposed indices. At last, a numerical example and two engineering examples are illustrated to demonstrate the feasibility, reasonability, and efficiency of the computational technique of the proposed indices.

Article information

Source
J. Appl. Math., Volume 2015 (2015), Article ID 365051, 8 pages.

Dates
First available in Project Euclid: 15 April 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1429105045

Digital Object Identifier
doi:10.1155/2015/365051

Mathematical Reviews number (MathSciNet)
MR3321599

Zentralblatt MATH identifier
06620377

Citation

Lijie, Cui; Zhenzhou, Lü; Guijie, Li. Reliability Analysis in Presence of Random Variables and Fuzzy Variables. J. Appl. Math. 2015 (2015), Article ID 365051, 8 pages. doi:10.1155/2015/365051. https://projecteuclid.org/euclid.jam/1429105045


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