A new reconstruction from the F-transform components
A new notion of adjoint fuzzy partition is introduced and the reconstruction of a function from its F-transform components is analyzed. An analogy with the NyquistShannonKotelnikov sampling theorem is discussed. Special attention is paid to the case where sample values of a function come with noise. We show that the double reconstruction through the F-transform components significantly reduces the influence of noise.
f-transform adjoint fuzzy partition sampling theorem nyquistshannonkotelnikov reconstruction remove of noise