Description of Uncertain Structural Parameters as Fuzzy Random Variables

Bernd Möller () and Michael Beer ()
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Bernd Möller: Dresden University of Technology, Institute of Structural Analysis (Lehrstuhl für Statik)
Michael Beer: Dresden University of Technology, Institute of Structural Analysis (Lehrstuhl für Statik)

Chapter 4 in Fuzzy Randomness, 2004, pp 109-134 from Springer

Abstract: Abstract Structural parameters that possess the uncertainty characteristic fuzzy randomness are modeled as fuzzy random variables [119, 124]. For each fuzzy random variable it is necessary to generate the fuzzy probability distribution function, the fuzzy probability density function, and the associated fuzzy parameters on the basis of limited statistical data material. The data material possesses stochastic and nonstochastic properties, the latter resulting in particular from informal uncertainty or uncertainty due to fluctuating reproduction conditions.

Date: 2004
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DOI: 10.1007/978-3-662-07358-2_4

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