Fuzzy Randomness: Uncertainty in Civil Engineering and Computational Mechanics

By Bernd Möller, Michael Beer. 2004

468 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/1c3a0a6cdd3c9fba18fd569f4eb5441797ab7878

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In Statistics and Probability

Citations in the corpus

Reliability-based structural optimization with probability and convex set hybrid models (2010, methodology): “…uncertainty models, such as the fuzzy possibility model (Mourelatos and Zhou 2005; Du et al. 2006a), the fuzzy/statistical hybrid model (Möller and Beer 2004; Buckley 2005; Du et al. 2006b; Du and Choi 2008) and the convex model (Ben-Haim and Elishakoff 1990; Elseifi et al. 1999), have…”
Interval Monte Carlo methods for structural reliability (2010, methodology): “A variety of solution techniques have been proposed for the interval FEM, including the combinatorial method [19,20], perturbation method [21,22], sensitivity analysis method [23], optimization method [24,25], and interval analysis method [26–28].”
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 ”
Imprecise probabilities in engineering analyses (2013, unknown): “In view of practical applications, probability distribution functions are dened for fuzzy random variables [82, 235, 242, 251, 68].”
Fuzzy structural analysis based on fundamental reliability concepts (2012, methodology): “On this basis it is then easy to derive a design displacement using standard defuzzification procedures [15].”
Fuzzy uncertainty propagation in composites using Gram–Schmidt polynomial chaos expansion (2016, background): “Under the possibilistic interpretation of fuzzy sets [13] and uncertainty environment [14], fuzzy variables would become a generalized interval variables.”
Fuzzy probabilistic design of water distribution networks (2011, background): “, 2009; Shapiro, 2009] and engineering, particularly in the field of structural engineering [Möller and Beer, 2004].”
Imprecise probabilities based on generalised intervals for system reliability assessment (2010, background): “Fuzzy probability (Möller and Beer (2004)) considers probability distributions with fuzzy parameters.”