Fuzinsumo ‐ Fuzzy investigation with surrogate models

Beitrag bei einer Tagung

Details zur Publikation

Autor(en): Oberleiter T, Willner K
Verlag: WILEY‐VCH Verlag GmbH & Co. KGaA
Verlagsort: Weinheim
Jahr der Veröffentlichung: 2018
Tagungsband: PAMM, Volume 17
Seitenbereich: 725-726
Sprache: Englisch


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-Autoren / FAU-Herausgeber

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


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.


Zuletzt aktualisiert 2019-09-01 um 17:10