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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.

Engineering --- Risk management. --- Fuzzy logic. --- Ingénierie --- Gestion du risque --- Logique floue --- Management. --- Gestion --- Ingénierie --- Fuzzy logic --- Risk management --- Insurance --- Management --- Nonlinear logic --- Fuzzy mathematics --- Logic, Symbolic and mathematical --- Fuzzy systems --- Civil engineering --- Structural engineering --- Probabilities. --- Mechanics. --- Mechanics, Applied. --- Computational intelligence. --- Statistics . --- Buildings—Design and construction. --- Building. --- Construction. --- Engineering, Architectural. --- Probability Theory and Stochastic Processes. --- Theoretical and Applied Mechanics. --- Computational Intelligence. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Building Construction and Design. --- Architectural engineering --- Buildings --- Construction --- Construction science --- Engineering, Architectural --- Structural design --- Architecture --- Construction industry --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Design and construction