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A New Approach to Non-Homogeneous Fuzzy Initial Value Problem

N.A. Gasilov1, I.F. Hashimoglu2, S.E. Amrahov3, A.G. Fatullayev1
Baskent University, Ankara, 06810 Turkey.
Karabuk University, Turkey.
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

Fuzzy initial value problem, fuzzy differential equation, fuzzy set.

Cite This Article

Gasilov, N., Hashimoglu, I., Amrahov, S., Fatullayev, A. (2012). A New Approach to Non-Homogeneous Fuzzy Initial Value Problem. CMES-Computer Modeling in Engineering & Sciences, 85(4), 367–378.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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