Titlebook: Nondeterministic Mechanics; Isaac Elishakoff,Christian Soize Book 2012 CISM Udine 2012 Fuzzy Set Theory.Non-stochastic Models.Nondetermini

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Stochastic Methods in Nonlinear Structural Dynamicsuences on the structural response. In the framework of stochastic dynamics, only three methods are the most used: the Moment Equation Method (MEM), the Stochastic Linearization (SL) and the Monte Carlo Simulation (MCS). The MEM in conjuction with a closure method (CM) allows to obtain the response s

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The Tale of Stochastic Linearization Technique: Over Half a Century of Progress based derivation of the method. The developments that are described in this review mostly took place after extensive accounts on the classical version of the stochastic linearization technique, such as the monographs by Roberts and Spanos (1990), and by Socha (2008), and the review articles by Soch

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Comprehensive Modeling of Uncertain Systems Using Fuzzy Set Theorytechniques are employed which lead to systematic errors in the modeling procedure. The fuzzy arithmetical approach which is presented in this chapter is designed to handle epistemic uncertainties, as those systematic errors are also termed, in numerical simulations by the use of fuzzy numbers. The a

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Combined Methods in Nondeterministic Mechanicsy in engineering, among them probability, interval arithmetic, random sets, fuzzy sets, sets of probability measures, and previsions. After recalling the definitions, we stress their interpretations (semantics), axioms, interrelations as well as numerical procedures and demonstrate how the concepts

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0254-1971 s of the three methodologies (probabilistic or stochastic modelling, fuzzy sets based analysis, antioptimization of structures) to deal with various uncertainties? and deepen the discussion of their pros and cons..978-3-7091-1670-8978-3-7091-1306-6Series ISSN 0254-1971 Series E-ISSN 2309-3706

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integrated