Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1015.65005
Hanss, Michael
The transformation method for the simulation and analysis of systems with uncertain parameters.
(English)
[J] Fuzzy Sets Syst. 130, No.3, 277-289 (2002). ISSN 0165-0114

Summary: The transformation method is introduced as a powerful approach for both the simulation and the analysis of systems with uncertain model parameters. Based on the concept of $\alpha$-cuts, the method represents a special implementation of fuzzy arithmetic that avoids the well-known effect of overestimation which usually arises when fuzzy arithmetic is reduced to interval computation. Systems with uncertain model parameters can thus be simulated without any artificial widening of the simulation results. \par As a by-product of the implementation scheme, the transformation method also provides a measure of influence to quantitatively analyze the uncertain system with respect to the effect of each uncertain model parameter on the overall uncertainty of the model output. By this, a special kind of sensitivity analysis can be defined on the basis of fuzzy arithmetic. \par Finally, to show the efficiency of the transformation method, the method is applied to the simulation and analysis of a model for the friction interface between the sliding surfaces of a bolted joint connection.
MSC 2000:
*65C60 Computational problems in statistics
93B35 Sensitivity (robustness) of control systems
26E50 Fuzzy real analysis

Keywords: fuzzy arithmetic; interval computation; uncertain models; sensitivity analysis

Cited in: Zbl 1054.93007

Highlights
Master Server