Work

A New Double Fuzzy Integral Transform for Solving an Advection–Diffusion Equation

Year: 2025

Type: article

Abstract: The main purpose of this research is to present a new approach to double fuzzy transforms, called the double fuzzy Yang-General transform transform (DFY-GT). This new double fuzzy transform is a novel combination of the single fuzzy Yang and General transforms. Some basic properties of the new transform including existence, linearity and some results related to partial derivatives are presented. To show the applicability of the double fuzzy Yang-General transform, the solution framework for linear fuzzy advection-diffusion equation is developed. Furthermore, numerical example is solved to illustrate the proposed method.

Source: Axioms

DOI: 10.3390/axioms14040240

Authors: Atanaska Georgieva, Slav I. Cholakov, Mira Spasova

Institution: Plovdiv University

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4408798299

FWCI: 0.836

Cites: 28

Cited by: 1

Related to: 10