Summary
This paper is devoted to the construction of sets of joint probability measures for the case that the marginal sets of probability measures are generated by random sets. Different conditions on the choice of the weights of the joint focal sets and on the probability measures on these sets lead to different types of independence such as strong independence, random set independence, fuzzy set independence and unknown interaction. As an application the upper probabilities of failure of a beam bedded on two springs are computed.
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Fetz, T. (2005). Multi-parameter models: rules and computational methods for combining uncertainties. In: Fellin, W., Lessmann, H., Oberguggenberger, M., Vieider, R. (eds) Analyzing Uncertainty in Civil Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26847-2_5
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DOI: https://doi.org/10.1007/3-540-26847-2_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22246-0
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