Numerical simulation based on fuzzy stochastic analysis
Authors: Möller, Bernd; Graf, Wolfgang; Sickert, Jan-Uwe; Reuter, Uwe
Source: Mathematical and Computer Modelling of Dynamical Systems, Volume 13, Number 4, August 2007 , pp. 349-364(16)
Publisher: Taylor and Francis Ltd
Abstract:In this paper mathematical methods for fuzzy stochastic analysis in engineering applications are presented. Fuzzy stochastic analysis maps uncertain input data in the form of fuzzy random variables onto fuzzy random result variables. The operator of the mapping can be any desired deterministic algorithm, e.g. the dynamic analysis of structures. Two different approaches for processing the fuzzy random input data are discussed. For these purposes two types of fuzzy probability distribution functions for describing fuzzy random variables are introduced. On the basis of these two types of fuzzy probability distribution functions two appropriate algorithms for fuzzy stochastic analysis are developed. Both algorithms are demonstrated and compared by way of an example.
Document Type: Research Article
Affiliations: Institute of Statics and Dynamics of Structures, Technische Universität Dresden, Germany
Publication date: August 1, 2007