Convex models and interval analysis method to predict the effect of uncertain-but-bounded parameters on the buckling of composite structures

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Fuzzy structural analysis based on fundamental reliability concepts (2012, background): “Moreover, the existence of other kinds of uncertainty, different from pure randomness, has fostered the consideration of different approaches to the problem such as fuzzy sets [14–16], antioptimization or convex-set modeling [8,17,12], interval analysis [12,18–22], random sets [23–25], ellipsoid mod”
Interval arithmetic operations for uncertainty analysis with correlated interval variables (2016, methodology): “The interval model and the ellipsoid model were compared through the effect of uncertain parameters on the buckling of composite structure [20].”
A new interval uncertain optimization method for structures using Chebyshev surrogate models (2015, background): “The uncertainties induced by the bounded parameters can be treated with convex models or intervalmodels [6,8–10].”
An efficient method for the estimation of structural reliability intervals with random sets, dependence modeling and uncertain inputs (2014, methodology): “These and other considerations have fostered the research on alternative methods for incorporating uncertainty in the structural analysis, such as fuzzy sets and related theories [12–16], antioptimization or convex-set modeling [5,10,17], interval analysis [10,18–27], random sets [28–30], ellipsoid ”