A New Double Fuzzy Integral Transform for Solving Advection Diffusion Equation

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.