Fuzzy transform, mathematical modeling

The theory of F-transform has a comprehensive mathematical background which is comparable with the well-known transforms such as Laplace, Fourier, and wavelet ones. In the talk we plan the following: introduce backgrounds of the F-transform, compare the F-transform based modeling with Takagi-Sugeno models and show their common and different features, show and explain successful applications of the F-transform methodology in image processing, data analysis, and time series forecasting, discuss perspectives of the F-transform methodology.