A new representation for inverse fuzzy transform and its application

In this study, a new representation formula for basic functions of fuzzy transform is introduced and some new approximating properties of the inverse fuzzy transform are described. In particular, using block pulse functions, we present properties of sinusoidal basic functions. As an application, we...

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Bibliographic Details
Published in:Soft computing (Berlin, Germany) Germany), 2017-07, Vol.21 (13), p.3503-3512
Main Author: Khastan, A.
Format: Article
Language:English
Subjects:
Approximation
Artificial Intelligence
Computational Intelligence
Control
Engineering
Focus
Fourier transforms
Fredholm equations
Fuzzy sets
Integral equations
Mathematical Logic and Foundations
Mechatronics
Numerical analysis
Ordinary differential equations
Partial differential equations
Representations
Robotics
Variables
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Summary:In this study, a new representation formula for basic functions of fuzzy transform is introduced and some new approximating properties of the inverse fuzzy transform are described. In particular, using block pulse functions, we present properties of sinusoidal basic functions. As an application, we present a new fuzzy-based method for numerical solution of nonlinear Fredholm integral equations.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-017-2555-1