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A New Approach to Non-Homogeneous Fuzzy Initial Value Problem

by N.A. Gasilov1, I.F. Hashimoglu2, 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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APA Style
Gasilov, N., Hashimoglu, I., Amrahov, S., Fatullayev, A. (2012). A new approach to non-homogeneous fuzzy initial value problem. Computer Modeling in Engineering & Sciences, 85(4), 367-378. https://doi.org/10.3970/cmes.2012.085.367
Vancouver Style
Gasilov N, Hashimoglu I, Amrahov S, Fatullayev A. A new approach to non-homogeneous fuzzy initial value problem. Comput Model Eng Sci. 2012;85(4):367-378 https://doi.org/10.3970/cmes.2012.085.367
IEEE Style
N. Gasilov, I. Hashimoglu, S. Amrahov, and A. Fatullayev, “A New Approach to Non-Homogeneous Fuzzy Initial Value Problem,” Comput. Model. Eng. Sci., vol. 85, no. 4, pp. 367-378, 2012. https://doi.org/10.3970/cmes.2012.085.367



cc Copyright © 2012 The Author(s). Published by Tech Science Press.
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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