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PolyUQ: framework for solving problems with polymorphic uncertainties

Drieschner, Martin; Eichner, Lukas; Seiffarth, Friedrich; Petryna, Yuri

Preprint-Reihe des Fachgebiets Statik und Dynamik, Technische Universität Berlin

The consideration of aleatory and epistemic uncertainties is an important challenge in structural engineering problems, especially from the viewpoint of realistic analysis. Inaccuracy and variability are always present and have to be quantified by either probabilistic, possibilistic, polymorphic or other uncertainty approaches. Thus, the authors have developed the framework PolyUQ in MATLAB for solving problems in which uncertainties in the fuzzy space, the interval space and the stochastic space can be treated simultaneously. The workflow from defining uncertain input variables to solving the model and up to evaluating the uncertain output is presented in this contribution.