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Fuzzy transform for fractional fuzzy differential equations

2022
In this research, we apply a very powerful and relatively simple technique called Fuzzy ( F) transform to solve fractional fuzzy problem with respect to fuzzy valued functions. This approach allows to transform a fractional fuzzy differential equations to the system of algebraic equations.
Thi Minh Tam Pham, Irina Perfilieva
openaire   +1 more source

Fuzzy Yang transform for second order fuzzy differential equations of integer and fractional order

Physica Scripta, 2023
In this work, a Laplace-like transform in a fuzzy environment called Yang transform is introduced to solve fuzzy differential equations (FDEs) with the order θ ∈ (1, 2] involving the Caputo fractional derivative in the sense of gH-differentiability. Some
A. Ullah   +3 more
semanticscholar   +1 more source

Fuzzy Color Image Transform

Advanced Science and Technology Letters, 2015
This paper studies a new color image edge detection method. The fuzzy inference engine is designed to detect edges. Some membership functions in horizontal and vertical directions are used for edge detecting. Experimental results show the presented method provides good performance when it is compared with conventional methods.
Jiwon Yang, Gwanggil Jeon
openaire   +1 more source

Fuzzy partitions and transformations

Proceedings of 1994 IEEE 3rd International Fuzzy Systems Conference, 2002
This paper is devoted to an interpretation of fuzzy sets on the basis of indistinguishability. Here we restrict to indistinguishability induced by tolerance bounds /spl epsiv/ that lead to identifying numbers whose difference is less than /spl epsiv/. We admit the modification of the ordinary distance by scaling functions.
F. Klawonn, R. Kruse
openaire   +1 more source

Multi-color image compression-encryption algorithm based on chaotic system and fuzzy transform

Multimedia tools and applications, 2017
In this paper an algorithm for multi-color image compression- encryption is introduced. For compression step fuzzy transform based on exponential b-spline function is used.
M. Zarebnia, R. Kianfar, R. Parvaz
semanticscholar   +1 more source

Fuzzy transforms: Theory and applications

Fuzzy Sets and Systems, 2006
In this paper the technique of the direct and inverse fuzzy transform is introduced and approximation properties of the inverse fuzzy transform are established. Two new fuzzy transforms based on operations of a residuated lattice on \([0,1]\) are introduced. These new lattice fuzzy transforms lead to new approximation models. Three types of the inverse
openaire   +2 more sources

Fuzzy Set Transformation and Fuzzy Arithmetic

2020
The chapter elaborates on the ways of transforming fuzzy sets through functions: one of the fundamental concepts of processing fuzzy sets. The extension principle is discussed in detail. Two key ways of mapping fuzzy sets are discussed: the one based on the representation theorem (which directly links to the mapping realized in interval analysis) and ...
openaire   +1 more source

Adaptive Periodic Noise Reduction in Digital Images Using Fuzzy Transform

Journal of Mathematical Imaging and Vision, 2021
Najmeh Alibabaie, A. Latif
semanticscholar   +1 more source

Transformation theorems for fuzzy integrals on fuzzy sets

Fuzzy Sets and Systems, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Zhenyuan, Qiao, Zhong
openaire   +1 more source

On Fuzzy Fractal Transforms

2012
Approximation of an image, a union of spatially—contracted and grayscale modified copies of subsets of itself is known as fractal image coding. Generally, images are considered as function u(x) in \( L^{2} \) or \( L^{\infty } , \) and fractal coding method is developed.
R. Uthayakumar, M. Rajkumar
openaire   +1 more source

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