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Description of Uncertain Structural Parameters as Fuzzy Random Variables

In: Fuzzy Randomness

Author

Listed:
  • 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))

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.

Suggested Citation

  • Bernd Möller & Michael Beer, 2004. "Description of Uncertain Structural Parameters as Fuzzy Random Variables," Springer Books, in: Fuzzy Randomness, chapter 4, pages 109-134, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-07358-2_4
    DOI: 10.1007/978-3-662-07358-2_4
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