Introduction

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 1 in Fuzzy Randomness, 2004, pp 1-18 from Springer

Abstract: Abstract For quantifying physical parameters such as geometry, material, or loading parameters, real numbers or integers are mainly applied, i.e., a deterministic data model is applied. In order to describe randomness resulting from imprecise readings or fluctuating ambient conditions, measurements are repeated and lumped together in a concrete data sample. Mathematical statistics offers methods for describing data samples with the aid of random variables. A common approach for this purpose is to specify a probability distribution function in order to obtain a stochastic data model.

Keywords: Fuzzy Variable; First Order Reliability Method; Fuzzy Random Variable; Truth Content; Fuzzy Probabilistics (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-662-07358-2_1

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