FAMOUS

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.