Fuzinsumo ‐ Fuzzy investigation with surrogate models

Conference contribution
(Conference Contribution)

Publication Details

Author(s): Oberleiter T, Willner K
Publisher: WILEY‐VCH Verlag GmbH & Co. KGaA
Publishing place: Weinheim
Publication year: 2018
Conference Proceedings Title: PAMM, Volume 17
Pages range: 725-726
Language: English


In this contribution, we investigate the accuracy of surrogate models
for fuzzy systems. Within a virtual tolerance analysis, unknown
uncertainties are considered by fuzzy numbers. These fuzzy numbers
consist of higher‐dimensional intervals, where each interval is assigned
a membership value. To reproduce fuzzy numbers correctly, a large
number of system evaluations is needed. Instead of evaluating
numerically expensive full systems, we employ surrogate models with
radial basis functions. In order to find sufficiently accurate surrogate
models with as few as possible sampling points, we investigate the
influence of the sampling points on the respective fuzzy number
intervals. As an example, we investigate the tilting of an X‐ray
aperture, which shows different accuracy for different sampling
strategies. The reference results for the nonlinear multi‐body system
are calculated by a Matlab optimizer and are compared to the results of
the surrogate models.

FAU Authors / FAU Editors

Oberleiter, Thomas
Lehrstuhl für Technische Mechanik
Willner, Kai Prof. Dr.-Ing.
Professur für Strukturmechanik

How to cite

Oberleiter, T., & Willner, K. (2018). Fuzinsumo ‐ Fuzzy investigation with surrogate models. In PAMM, Volume 17 (pp. 725-726). Ilmenau/Weimar: Weinheim: WILEY‐VCH Verlag GmbH & Co. KGaA.

Oberleiter, Thomas, and Kai Willner. "Fuzinsumo ‐ Fuzzy investigation with surrogate models." Proceedings of the 88th GAMM Annual Meeting, Ilmenau/Weimar Weinheim: WILEY‐VCH Verlag GmbH & Co. KGaA, 2018. 725-726.


Last updated on 2019-09-01 at 17:10