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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.

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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.



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