Open Access

ARTICLE

A New Approach to Non-Homogeneous Fuzzy Initial Value Problem

N.A. Gasilov¹, I.F. Hashimoglu², S.E. Amrahov³, A.G. Fatullayev¹

1 Baskent University, Ankara, 06810 Turkey.
2 Karabuk University, Turkey.
3 Computer Engineering Department, Ankara University, Turkey.

Computer Modeling in Engineering & Sciences 2012, 85(4), 367-378. https://doi.org/10.3970/cmes.2012.085.367

Abstract

In this paper, we consider a high-order linear differential equation with fuzzy forcing function and with fuzzy initial values. We assume the forcing function be in a special form, which we call triangular fuzzy function. We present solution as a fuzzy set of real functions such that each real function satisfies the initial value problem by some membership degree. We propose a method to find the fuzzy solution. We present an example to illustrate applicability of the proposed method.

---

Keywords

---