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Title: Structural reliability assessment with fuzzy probabilities
Authors: Beer, M.
Tong, Q.S. 
Mingqiang, Z.
Ferson, S.
Keywords: Failure probability
Fuzzy probabilities
Imprecise probabilities
Reliability analysis
Issue Date: 2011
Citation: Beer, M.,Tong, Q.S.,Mingqiang, Z.,Ferson, S. (2011). Structural reliability assessment with fuzzy probabilities. ISIPTA 2011 - Proceedings of the 7th International Symposium on Imprecise Probability: Theories and Applications : 51-60. ScholarBank@NUS Repository.
Abstract: The prediction of the behavior and reliability of engineering structures and systems is often plagued by uncertainty and imprecision caused by sparse data, poor measurements and linguistic information. Accounting for such limitations complicates the mathematical modeling required to obtain realistic results in engineering analyses. The framework of imprecise probabilities provides a mathematical basis to deal with these problems which involve both probabilistic and non-probabilistic sources of uncertainty. A common feature of the various concepts of imprecise probabilities is the consideration of an entire set of probabilistic models in one analysis. But there are differences between the concepts in the mathematical description of this set and in the theoretical connection to the probabilistic models involved. This study is focused on fuzzy probabilities, which combine a probabilistic characterization of variability with a fuzzy characterization of imprecision. We discuss how fuzzy modeling can allow a more nuanced approach than interval-based concepts. The application in engineering is demonstrated by means of two examples.
Source Title: ISIPTA 2011 - Proceedings of the 7th International Symposium on Imprecise Probability: Theories and Applications
ISBN: 9783902652409
Appears in Collections:Staff Publications

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