Results 1 to 10 of about 401,434 (267)
Why Use a Fuzzy Partition in F-Transform? [PDF]
Axioms, 2019 In many application problems, F-transform algorithms are very efficient. In F-transform techniques, we replace the original signal or image with a finite number of weighted averages.
Vladik Kreinovich +2 more
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Advanced F-Transform-Based Image Fusion [PDF]
Advances in Fuzzy Systems, 2012 We propose to use the modern technique of the F-transform in order to show that it can be successfully applied to the image fusion. We remind two working algorithms (SA—the simple algorithm, and CA—the complete algorithm) which are based on the F ...
Marek Vajgl +2 more
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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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F-transform and discrete convolution [PDF]
Advances in Intelligent Systems Research, 2015 Discrete convolution is commonly used operation in the image processing field. The technique modifies an input image in various ways by scalable and easy computation. We are able to achieve many applications such as edge detection, noise reduction or artistic filtering, by selection of the proper kernel. The technique of the F-transform investigated in
Pavel Vlasánek, Irina Perfilieva
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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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