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Fuzzy Randomness - Uncertainty in Civil Engineering and Computational Mechanics (Paperback, Softcover reprint of hardcover 1st ed. 2004)
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Fuzzy Randomness - Uncertainty in Civil Engineering and Computational Mechanics (Paperback, Softcover reprint of hardcover 1st ed. 2004)
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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).
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