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unilogo University of Stuttgart
Institute of Engineering and Computational Mechanics




FAMOUS, which stands for Fuzzy Arithmetical Modeling Of Uncertain Systems, is a Matlab-based toolbox for the analysis of systems with uncertain model parameters.

The toolbox works on black-box models so that any software environment can be used for system simulation. This requires a connection to the different software environments through a systematic interface structure.

In detail, FAMOUS contains functions and algorithms for

  • the quantification of the uncertain model parameters using fuzzy numbers,
  • the simulation of the so obtained fuzzy-parametrized models,
  • the evaluation and analysis of the resulting uncertain, fuzzy-valued output values,
  • the identification / estimation of uncertain, fuzzy-valued model parameters from observed uncertain outputs,
  • the assessment of robustness of systems to parametric uncertainties.
Hence, FAMOUS provides the solution of both direct and inverse fuzzy arithmetical problems as well as the calculation of influence / sensitivity measures for systems with uncertain parameters. In this context, the so-called transformation method is used as a core functionality, while performance improvements are achieved by the use of a meta-model concept based on sparse-grid methods.



The manual is provided with the toolbox as a collection of html-files, which include a short theoretical introduction, basic examples illustrating the use of FAMOUS as well as a function reference. The help is accessible through the Matlab help browser as shown below.


If you have further questions about the software or if you are interested in receiving a current version of FAMOUS (free of charge for academic institutions), please send an e-mail request to