Adjoint fuzzy partition and generalized sampling theorem

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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.

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Perfilieva, I., Holčapek, M., & Kreinovich, V. (2016). Adjoint fuzzy partition and generalized sampling theorem. In Communications in Computer and Information Science (Vol. 611, pp. 459–469). Springer Verlag. https://doi.org/10.1007/978-3-319-40581-0_37

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