Investigation of A Fuzzy Integral Equation by Fuzzy Integral Transforms

Abstract

In this paper, three different fuzzy integral transforms are used to solve fuzzy convolution Volterra integral equation of the second kind. These fuzzy transform methods reduc the problem to algebraic problem. Integral equations, some definitions and theorems about fuzzy integral transforms, and the convolution theorem are discussed in some details. Finally, illustrative realistic problem with convolution kernel represented by the gas diffusion phenomena is given to show the ability of the proposed methods.