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

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Turkish Journal of Mathematics and Computer Science
Volume:4
Solving a Second Order Fuzzy Initial Value Problem Using The Heaviside Function

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

Authors : Ömer Akın, Tahir Khaniyev, Selami Bayeğ, Burhan Türkşen

Pages : 16-25

View : 31 | Download : 16

Publication Date : 2016-07-13

Article Type : Research Paper

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.
Keywords : Fuzzy initial value problem, fuzzy forcing function, Zadehs extension principle, heaviside function, breaking point, structure vector

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