Results 1 to 10 of about 19,064 (297)

On the solution of fuzzy differential equations by Fuzzy Sumudu Transform

Nonlinear Engineering, 2015
In this paper, Sumudu transform is advanced and designed for the solution of linear differential models with uncertainty. For this purpose, Sumudu transform is coupled with fuzzy theory and all its fundamental properties are formalized in fuzzy ...
Khan Najeeb Alam, Razzaq Oyoon Abdul, Ayyaz Muhammad   +2 more
doaj   +4 more sources

Fuzzy Hilbert Transform of Fuzzy Functions

Mathematics
This paper studies the properties of the Fourier transform of the fuzzy function, and extends the classical Poisson integral formula on the half plane to the fuzzy case, obtaining the composition of the fuzzy set generated by a point in the complex field
Zhibo Yan
doaj   +3 more sources

Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations

Entropy, 2015
In this paper, we study the classical Sumudu transform in fuzzy environment, referred to as the fuzzy Sumudu transform (FST). We also propose some results on the properties of the FST, such as linearity, preserving, fuzzy derivative, shifting and ...
Norazrizal Aswad Abdul Rahman, Muhammad Zaini Ahmad   +1 more
doaj   +4 more sources

Double Fuzzy Sumudu Transform to Solve Partial Volterra Fuzzy Integro-Differential Equations

Mathematics, 2020
In this paper, the double fuzzy Sumudu transform (DFST) method was used to find the solution to partial Volterra fuzzy integro-differential equations (PVFIDE) with convolution kernel under Hukuhara differentiability.
Atanaska Georgieva
doaj   +3 more sources

Fuzzy transform in the analysis of data

International Journal of Approximate Reasoning, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Irina Perfilieva, Vilém Novak, Antonin Dvorak   +2 more
exaly   +3 more sources

Image Matching by Using Fuzzy Transforms [PDF]

Advances in Fuzzy Systems, 2013
We apply the concept of Fuzzy Transform (for short, F-transform) for improving the results of the image matching based on the Greatest Eigen Fuzzy Set (for short, GEFS) with respect to max-min composition and the Smallest Eigen Fuzzy Set (for short, SEFS)
Ferdinando Di Martino, Salvatore Sessa
doaj   +3 more sources

A Novel Classification Algorithm Based on Multidimensional F¹ Fuzzy Transform and PCA Feature Extraction

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
doaj   +1 more source

A Combination of Fuzzy Techniques and Chow Test to Detect Structural Breaks in Time Series

Axioms, 2023
In a series of papers, we suggested a non-statistical method for the detection of structural breaks in a time series. It is based on the applications of special fuzzy modeling methods, namely Fuzzy transform (F-transform) and selected methods of Fuzzy ...
Vilém Novák, Thi Thanh Phuong Truong
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source