Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389238 | Fuzzy Sets and Systems | 2016 | 23 Pages |
Abstract
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.
Keywords
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Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Irina Perfilieva, Michal Holčapek, Vladik Kreinovich,