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. All three types of …

The aim of this study is to show how the F-transform technique can be generalized from the
case of constant components to the case of polynomial components. After a general …

Multimodal medical image fusion has become a powerful tool in clinical applications. The
main aim is to fuse different multimodal medical images, obtained from different imaging …

This research work employs the Bernstein spectral technique based on Bernstein
polynomials to analyze and to obtain the approximate numerical solution of a class of …

The fuzzy transform (F-transform) has some interesting properties that allow its use in curve
fitting and smoothing. We suggest the following:(a) a generalization of fuzzy partitions for the …

In this paper, a fuzzy-based paradigm for data compression aimed at reducing the
computational burden of data analysis in smart grids (SGs) is proposed. In the SG context, it …

The objective of this work is to associate the concepts of fuzzy rough sets and fuzzy
topologies/co-topologies with the F-transforms. The notions of the direct F^ ↑ F↑ and F^ ↓ …

A new technique using an adaptive fuzzy algorithm to obtain the solutions to a class of
partial differential equations (PDEs) is presented. The design objective is to find a fuzzy …

In this work, we investigate the fuzzy Adomian decomposition method (ADM) and fuzzy
variational iteration method (VIM) applied to solving fuzzy heat-like and wave-like equations …

Integral transforms are invaluable mathematical tools to map functions into spaces where
they are easier to characterize. We introduce the hyperdimensional transform as a new kind …