书目名称 | Fuzzy Randomness |
副标题 | Uncertainty in Civil |
编辑 | Bernd Möller,Michael Beer |
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概述 | For the first time this book represents a coherent, overall concept for considering uncertainty in civil engineering and other disciplines of standard optimization.Comprehensive consideration of uncer |
图书封面 |  |
描述 | 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 |
出版日期 | Book 2004 |
关键词 | Fuzzy; algorithm; calculus; civil engineering; design of structures; fuzzy cluster design; fuzzy randomnes |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-662-07358-2 |
isbn_softcover | 978-3-642-07312-0 |
isbn_ebook | 978-3-662-07358-2 |
copyright | Springer-Verlag Berlin Heidelberg 2004 |