The fuzzy transform (F -transform for short) is a universal tool for a fuzzy modeling with convincing applications to image processing. The aim of this contribution is to explain the effect of the F transform in image processing. With this purpose, we investigate properties of the Fourier transform over the F -transform components. We prove that the direct F -transform is a low-pass filter. Thi...

The aim of the present work is to study the  $F$-transform over a generalized residuated lattice.  We discuss the properties that are common with the $F$-transform over a residuated lattice. We show that the $F^{uparrow}$-transform can be used in establishing a fuzzy (pre)order on the set of fuzzy sets.

the supercapacitive behavior of polyaniline/mno2-carbon black (pani/mno2-cb), mno2-cb nanocompositesand cb was studied. mno2-cb made by the in situ direct coating method to deposit mno2 onto cb; then pani coating was coated on it. morphology of the nanocomposite was studied by x-ray diffraction (xrd), fourier transform infrared (ft-ir) spectroscopy and scanning electron microscopy (sem). the el...

A relationship between the discrete F-transform and aggregation functions is analyzed. We show that the discrete F-transform (direct or inverse) can be associated with a set of linear aggregation functions that respect a fuzzy partition of a universe. On the other side, we discover conditions that should be added to a set of linear aggregation functions in order to obtain the discrete F-transfo...

The paper is devoted to the smoothing of discrete functions using the fuzzy transform (shortly, Ftransform) introduced by Perfilieva in [1]. We generalize a smoothing filter based on the fuzzy transform proposed in [2] to obtain a better control on the smoothed functions. For this purpose, a generalization of the concept of fuzzy partition is suggested and the smoothing filter is defined as a c...

composite electrodes of polyaniline/mno2-multi walled carbon nanotube (pani/mno2-mwcnt), mno2-mwcnt nanocomposites and mwcnt was produced by the in situ direct coating approach. the supercapacitor performance of the nanocomposites was studied by fourier transform infrared (ft-ir) spectroscopy and scanning electron microscopy (sem). the electrochemical properties of electrodes were also investig...

The aim of this paper is to propose a new approach to probability density function (PDF) estimation which is based on the fuzzy transform (F-transform) introduced by Perfilieva in [10]. Firstly, a smoothing filter based on the combination of the discrete direct and continuous inverse F-transform is introduced and some of the basic properties are investigated. Next, an alternative approach to PD...

the stolt (f-k) migration algorithm is a direct (i.e. non-recursive) fourier-domain technique based on a change of variables (or equivalently, a mapping) that converts the input spectrum to the output spectrum. the algorithm is simple and efficient but limited to constant velocity. a v(z)(f-k) migration method, capable of very high accuracy for vertical variations of velocity, can be formulated...

Composite electrodes of polyaniline/MnO2-Multi walled carbon nanotube (PANI/MnO2-MWCNT), MnO2-MWCNT nanocomposites and MWCNT was produced by the in situ direct coating approach. The supercapacitor performance of the nanocomposites was studied by Fourier transform infrared (FT-IR) spectroscopy and scanning electron microscopy (SEM). The electrochemical properties of electrodes were also investig...

The technique of direct and inverse fuzzy (F-)transforms of three different types is introduced and approximating properties of the inverse F-transforms are described. A method of lossy image compression and reconstruction on the basis of the F-transform is presented.