Fuzzy Randomness - Uncertainty in Civil Engineering and Computational Mechanics (Hardcover, 2004 ed.)

sections dealing with fuzzy functions and fuzzy random functions are certain to be of special interest. The reader is expected to be in command of the knowledge gained in a basic university mathematics course, with the inclusion of stochastic elements. A specification of uncertainty in any particular case is often difficult. For this reason Chaps. 3 and 4 are devoted solely to this problem. The derivation of fuzzy variables for representing informal and lexical uncertainty reflects the subjective assessment of objective conditions in the form of a membership function. Techniques for modeling fuzzy random variables are presented for data that simultaneously exhibit stochastic and nonstochastic properties. The application of fuzzy randomness is demonstrated in three fields of civil engineering and computational mechanics: structural analysis, safety assessment, and design. The methods of fuzzy structural analysis and fuzzy probabilistic structural analysis developed in Chap. 5 are applicable without restriction to arbitrary geometrically and physically nonlinear problems. The most important forms of the latter are the Fuzzy Finite Element Method (FFEM) and the Fuzzy Stochastic Finite Element Method (FSFEM).

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Release date:	February 2004
First published:	2004
Authors:	Bernd Moeller • Michael Beer
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Hardcover
Pages:	336
Edition:	2004 ed.
ISBN-13:	978-3-540-40294-7
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Stochastics
LSN:	3-540-40294-2
Barcode:	9783540402947

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