Uncertain input data problems and the worst scenario method

By I. Hlavácek. 2011

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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 ”
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007, background): “Uncertainty can be described in several ways, depending on the amount of information available; among others we mention: the worst case scenario analysis and fuzzy set theory, evidence theory, probabilistic setting, etc (see [6, 24] and the references therein).”
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”