Author	Mรถller, Bernd. author
Title	Fuzzy Randomness [electronic resource] : Uncertainty in Civil Engineering and Computational Mechanics / by Bernd Mรถller, Michael Beer
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004
Connect to	http://dx.doi.org/10.1007/978-3-662-07358-2
Descript	XV, 336 p. online resource

This book, for the first time, provides a coherent, overall concept for taking account of uncertainty in the analysis, the safety assessment, and the design of structures. The reader is introduced to the problem of uncertainty modeling and familiarized with particular uncertainty models. For simultaneously considering stochastic and non-stochastic uncertainty the superordinated uncertainty model fuzzy randomness, which contains real valued random variables as well as fuzzy variables as special cases, is presented. For this purpose basic mathematical knowledge concerning the fuzzy set theory and the theory of fuzzy random variables is imparted. The body of the book comprises the appropriate quantification of uncertain structural parameters, the fuzzy and fuzzy probabilistic structural analysis, the fuzzy probabilistic safety assessment, and the fuzzy cluster structural design. The completely new algorithms are described in detail and illustrated by way of demonstrative examples

1 Introduction -- 2 Mathematical Basics for the Formal Description of Uncertainty -- 3 Description of Uncertain Structural Parameters as Fuzzy Variables -- 4 Description of Uncertain Structural Parameters as Fuzzy Random Variables -- 5 Fuzzy and Fuzzy Stochastic Structural Analysis -- 6 Fuzzy Probabilistic Safety Assessment -- 7 Structural Design Based on Clustering -- References