Random set theory is a general framework which comprises uncertainty in the form of probability boxes, possibility distributions, cumulative distribution functions, Dempster …
This paper presents a highly efficient and accurate approach to determine the bounds on the first excursion probability of a linear structure that is subjected to an imprecise stochastic …
This paper presents an approach for estimating the fuzzy failure probability associated with reliability problems where uncertainty is characterized through random variables whose …
Z Meng, Y Wu, X Wang, S Ren… - International Journal for …, 2021 - Wiley Online Library
Owing to the variations in geometric dimensions, material properties and external loads in engineering applications, robust topology optimization (RTO) has garnered increasing …
Z Meng, H Hu, H Zhou - Applied Mathematical Modelling, 2018 - Elsevier
In this study, we attempt to propose a new super parametric convex model by giving the mathematical definition, in which an effective minimum volume method is constructed to give …
X Yang, Y Liu, Y Zhang, Z Yue - Acta Mechanica, 2015 - Springer
Hybrid reliability analysis (HRA) with both aleatory and epistemic uncertainties is investigated in this paper. The aleatory uncertainties are described by random variables …
Random set theory is a generalization of Dempster-Shafer evidence theory, that employs an infinite number of focal elements. It can be used for the estimation of the bounds of the …
J Wang, Z Lu, Y Shi - Aerospace Science and Technology, 2018 - Elsevier
For lack of safety measure under the widely existing fuzzy inputs and fuzzy state in the aircraft icing process, a safety analysis model is established to quantify the safety degree of …
X Yang, Y Liu, Y Gao - International Journal for Numerical …, 2016 - Wiley Online Library
Reliability analysis with both aleatory and epistemic uncertainties is investigated in this paper. The aleatory uncertainties are described with random variables, and epistemic …