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Seasonal Time Series Forecasting by F1-Fuzzy Transform [PDF]
Sensors, 2019 We present a new seasonal forecasting method based on F1-transform (fuzzy transform of order 1) applied on weather datasets. The objective of this research is to improve the performances of the fuzzy transform-based prediction method applied to seasonal ...
Ferdinando Di Martino, Salvatore Sessa
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Algorithms, 2023 The bi-dimensional F1-Transform was applied in image analysis to improve the performances of the F-transform method; however, due to its high computational complexity, the multidimensional F1-transform cannot be used in data analysis problems, especially
Barbara Cardone, Ferdinando Di Martino
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Semiring-Valued Fuzzy Sets and F-Transform
Mathematics, 2021 The notion of a semiring-valued fuzzy set is introduced for special commutative partially pre-ordered semirings, including basic operations with these fuzzy structures. It is showed that many standard MV-algebra-valued fuzzy type structures with standard
Jiří Močkoř
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Preimage Problem Inspired by the F-Transform
Mathematics, 2022 In this article, we focus on discrete data processing. We propose to use the concept of closeness, which is less restrictive than a metric, to describe a certain relationship between objects.
Jiří Janeček, Irina Perfilieva
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On the Similarity and Dependence of Time Series
Mathematics, 2021 In this paper, we undertake the problem of evaluating interrelation among time series. Interrelation is measured using a similarity index. In this paper, we suggest a new one based on the known fuzzy transform (F-transform), which has been proven to ...
Vilém Novák, Soheyla Mirshahi
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Axioms, 2020 An interesting property of the inverse F-transform f ^ of a continuous function f on a given interval [ a , b ] says that the integrals of f ^ and f on [ a , b ] coincide.
Davide Radi +2 more
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On the order of magnitude of Walsh-Fourier transform [PDF]
Mathematica Bohemica, 2020 For a Lebesgue integrable complex-valued function $f$ defined on $\mathbb R^+:=[0,\infty)$ let $\hat f$ be its Walsh-Fourier transform. The Riemann-Lebesgue lemma says that $\hat f(y)\to0$ as $y\to\infty$.
Bhikha Lila Ghodadra, Vanda Fülöp
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Laeng-Morpurgo-type uncertainty inequalities for the Weinstein transform
Cubo, 2023 In this work, by combining Carlson-type and Nash-type inequalities for the Weinstein transform $\mathscr{F}_W$ on $\mathbb{K}=\mathbb{R}^{d-1}\times[0,\infty)$, we show Laeng-Morpurgo-type uncertainty inequalities.
Fethi Soltani, Slim Ben Rejeb
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Fuzzy Transform Image Compression in the YUV Space
Computation, 2023 This research proposes a new image compression method based on the F1-transform which improves the quality of the reconstructed image without increasing the coding/decoding CPU time.
Barbara Cardone +2 more
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A general quantum Laplace transform
Advances in Difference Equations, 2020 In this paper, we introduce a general quantum Laplace transform L β $\mathcal{L}_{\beta }$ and some of its properties associated with the general quantum difference operator D β f ( t ) = ( f ( β ( t ) ) − f ( t ) ) / ( β ( t ) − t ) ${D}_{\beta }f(t)= ({
Enas M. Shehata +2 more
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