Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1664
Title: Solving a Second Order Fuzzy Initial Value Problem Using The Heaviside Function
Authors: Akın, Ömer
Khaniyev, Tahir
Bayeğ, Selami
Türkşen, İ. B.
5047
17222
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.
URI: https://dergipark.org.tr/download/article-file/208731
https://hdl.handle.net/20.500.11851/1664
Appears in Collections:Matematik Bölümü / Department of Mathematics

Show full item record

CORE Recommender

Page view(s)

28
checked on Dec 26, 2022

Google ScholarTM

Check


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.