A new reconstruction from the F-transform components

作者：Perfilieva Irina; Holcapek Michal; Kreinovich Vladik

来源：Fuzzy Sets and Systems, 2016, 288: 3-25.

DOI：10.1016/j.fss.2015.10.003

• F-transform
• Adjoint fuzzy partition
• Sampling theorem
• Nyquist-Shannon-Kotelnikov reconstruction
• Remove of noise

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 Nyquist-Shannon-Kotelnikov 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.

• 出版日期2016-4-1