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Dergiler / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 4

Solving a Second Order Fuzzy Initial Value Problem Using The Heaviside Function

Ömer Akın
Tahir Khaniyev
Selami Bayeğ
Burhan Türkşen
Sayfa
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Yayın Tarihi
2016-07-13
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we illustrate some examples using the proposed algorithm.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:Firstly, we apply Zadeh’s Extension Principle to fuzzify the crisp initial value problem.
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Sonuç & Katkı:Finally, we illustrate some examples using the proposed algorithm.
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fuzzy initial value problem · fuzzy forcing function · Zadeh’s extension principle

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.

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Bu Makaleye Atıf Yap

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, Volume: 4. https://ajindex.com/articles/1324974

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Kaynakça (20)

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