期刊
RELIABILITY ENGINEERING & SYSTEM SAFETY
卷 85, 期 1-3, 页码 73-87出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.ress.2004.03.004
关键词
interval analysis; random sets; fuzzy sets; upper and lower probabilities; sets of probability measures; imprecise probabilities; independence
This paper proposes a solution to Challenge Problem 1 posed by Oberkampf et al. [Rehab: Engng Syst. Safety (this issue)] and focuses on questions of dependence or independence of variables. The specification of uncertainties is consistently reduced to sets of probability measures. For whatever interpretation, the results essentially depend on the choice of combination rule in defining the joint distributions. The approach adopted here is shown to be consistent with interval analysis, random sets and fuzzy sets, and admits a clear description of the influence of the concept of independence used. A MATLAB-tool has been developed that allows to compute the lower and upper probability distributions for all choices of framework and combination rule. (C) 2004 Published by Elsevier Ltd.
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