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Title: Solving a Second Order Fuzzy Initial Value Problem Using The Heaviside Function
Authors: Akın, Ömer
Khaniyev, Tahir
Bayeğ, Selami
Türkşen, İ. B.
Keywords: Fuzzy initial value problem
fuzzy forcing function
Zadeh’s extension principle
heaviside function
breaking point, structure vector
Issue Date: Jun-2016
Publisher: Matematikçiler Derneği
Source: Akın, Ö., Khaniyev, T., Bayeğ, S., & Türkşen, B. (2016). Solving a Second Order Fuzzy Initial Value Problem Using The Heaviside Function. Turkish Journal of Mathematics and Computer Science, 4, 16-25.
Abstract: In this paper, we reformulate the algorithm in [7] to find an analytical expression for ?-cuts of the solution of the second order nonhomogeneous fuzzy initial value problem with fuzzy initial values and fuzzy forcing terms. Firstly, we apply Zadeh’s Extension Principle to fuzzify the crisp initial value problem. Then, we use the Heaviside function and obtain the analytical form of ?-cuts of the solution of the fuzzy initial value problem. Finally, we illustrate some examples using the proposed algorithm.
Appears in Collections:Matematik Bölümü / Department of Mathematics

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