A Method for Solving Linear Systems of Fuzzy Differential Equations under Generalized Hukuhara Differentiability

Subject Areas : Fuzzy Optimization and Modeling Journal

Mehran Chehlabi ¹ , Masuod Salehi Sarvestani ²

1 - Department of mathematics, Savadkoh Branch, Islamic Azad University, Savadkoh, Iran
2 - Department of Mathematics, Savadkooh Branch, Islamic Azad University, Savadkooh, Iran.

Received: 2023-04-05 Accepted : 2023-05-30 Published : 2023-06-01

Keywords: fuzzy systems, Fuzzy differential, Gh-differentiable,

Abstract :

The paper proposes a procedure for solving a linear system of fuzzy differential equations from the point of view of the generalized Hukuhara derivative. First, the method is based on two functions of half-length and midpoint of fuzzy numbers and next it is implemented on the problem in two separate cases of generalized Hukuhara differentiability, in details. Two numerical examples are given to clarify the practical application of the results.