Modified Successive Approximations Method for Solving Fuzzy Second Kind Fredholm Integral Equations with Separable Kernel

This paper presents an analysis, development, and application of a modified method of successive approximations to solve fuzzy second kind Fredholm integral equations with a separable kernel. The fuzziness in the equations is represented utilizing convex normalized triangular fuzzy numbers, which are based on a single and double parametric form of fuzzy numbers. In the single parametric form of the fuzzy number, a fuzzy equation converts to two crisp equations for the solution which increases the computational cost. Therefore, to reduce the computational cost and increase the solution's accuracy, the double parametric form of the fuzzy number will be used in this study. The feasibility of the proposed methods is illustrated through a numerical example. The results obtained using the presented approach demonstrate adequate agreement with relevant theoretical aspects.