High dimensional model representation based formulations for fuzzy finite element analysis of structures

Fuzzy finite difference method for heat conduction analysis with uncertain parameters

“…Therefore, given one fixed cut level, the original discrete equations (13) and (21) with fuzzy parameters can be transformed into the following formats with interval parameters, respectively,…”

“…The fuzzy set theory, introduced by Zadeh [11] in 1965, is very suitable for representing the uncertain parameter whose subjective probability based on the expert opinions is available. Combined with the finite element method, the fuzzy numerical analysis has achieved many research results regarding non-deterministic models [12][13][14].…”

Detecting GSM churners by using Euclidean Indexing HDMR

“…There are some works about applying HDMR to different topics such as small scale geometries [23], multivariate analysis [24], rational approximation [25], weight optimization [26], random sampling of the input variables [27,28], complex bionetwork structures [29], probabilistic analysis [30], reliability [31] and sensitivity analysis [32,33], piece-wise function approximation [34], decision making [35], finite element modeling [36] and HDMR component formulation with independent and correlated variables [37].…”

Numerical Methods for Reliability and Safety Assessment

“…Aleatory uncertainty information can be obtained as a result of statistical experiments and has a probabilistic or random character. Epistemic uncertainty information can be obtained by the estimation of the experts and in most cases has an interval or fuzzy character (Balu and Rao 2012a). When aleatory uncertainty is only present in a structural system, then the reliability estimation involves determination of the probability that a structural response exceeds a threshold limit, defined by a limit state function influenced by several random parameters.…”