Araştırma Makalesi

A study on two fourth-order fuzzy problems with fuzzy coefficients

Cilt: 26 Sayı: 2 15 Temmuz 2024
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A study on two fourth-order fuzzy problems with fuzzy coefficients

Öz

This study is on the solutions of two fourth-order fuzzy problems with positive and negative fuzzy number coefficients. The solutions are found using the fuzzy Laplace transform method. Main results are given. Two examples are solved to illustrate the problems. Graphics of the found solutions are drawn for alpha level sets. Also, the graphics are interpreted and conclusions are given.

Anahtar Kelimeler

Kaynakça

  1. Akin O., Khaniyev T., Oruc O., Turksen I.B., An algorithm for the solution of second order fuzzy initial value problems, Expert Systems with Applications, 40, 3, 953-957, (2013).
  2. Akin O., Bayeg S., Intuitionistic fuzzy initial value problems-an application, Hacettepe Journal of Mathematics and Statistics, 48, 6, 1682-1694, (2019).
  3. Allahviranloo T., Hooshangian L., A new method to find fuzzy nth order derivation and applications to fuzzy nth order arithmetic based on generalized h-derivation, An International Journal of Optimization and Control: Theories & Applications, 4, 2, 105-121, (2014).
  4. Bayeg S., Mert R., Akin O., Khaniyev T., On a type-2 fuzzy approach to solution of second-order initial value problem, Soft Computing, 26, 4, 1671-1683, (2022).
  5. Gasilov N., Amrahov S. E., Fatullayev A. G., Solution of linear differential equations with fuzzy boundary values, Fuzzy Sets and Systems, 257, 169–183, (2014).
  6. Gasilov N., Amrahov S. E., Fatullayev A. G., A geometric approach to solve fuzzy linear systems of differential equations, Applied Mathematics and Information Sciences, 5, 3, 484-499, (2011).
  7. Gültekin Çitil H., Comparison results of linear differential equations with fuzzy boundary values, Journal of Science and Arts, 1, 42, 33-48, (2018).
  8. Gültekin Çitil H., On a boundary value problem with fuzzy forcing function and fuzzy boundary values, International Journal of Mathematical Combinatorics 2, 1-16, (2021).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Uygulamalı Matematik (Diğer)

Bölüm

Araştırma Makalesi

Erken Görünüm Tarihi

14 Temmuz 2024

Yayımlanma Tarihi

15 Temmuz 2024

Gönderilme Tarihi

23 Kasım 2023

Kabul Tarihi

24 Ocak 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 26 Sayı: 2

Kaynak Göster

APA
Gültekin Çitil, H. (2024). A study on two fourth-order fuzzy problems with fuzzy coefficients. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 26(2), 345-355. https://doi.org/10.25092/baunfbed.1394807
AMA
1.Gültekin Çitil H. A study on two fourth-order fuzzy problems with fuzzy coefficients. BAUN Fen. Bil. Enst. Dergisi. 2024;26(2):345-355. doi:10.25092/baunfbed.1394807
Chicago
Gültekin Çitil, Hülya. 2024. “A study on two fourth-order fuzzy problems with fuzzy coefficients”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 26 (2): 345-55. https://doi.org/10.25092/baunfbed.1394807.
EndNote
Gültekin Çitil H (01 Temmuz 2024) A study on two fourth-order fuzzy problems with fuzzy coefficients. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 26 2 345–355.
IEEE
[1]H. Gültekin Çitil, “A study on two fourth-order fuzzy problems with fuzzy coefficients”, BAUN Fen. Bil. Enst. Dergisi, c. 26, sy 2, ss. 345–355, Tem. 2024, doi: 10.25092/baunfbed.1394807.
ISNAD
Gültekin Çitil, Hülya. “A study on two fourth-order fuzzy problems with fuzzy coefficients”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 26/2 (01 Temmuz 2024): 345-355. https://doi.org/10.25092/baunfbed.1394807.
JAMA
1.Gültekin Çitil H. A study on two fourth-order fuzzy problems with fuzzy coefficients. BAUN Fen. Bil. Enst. Dergisi. 2024;26:345–355.
MLA
Gültekin Çitil, Hülya. “A study on two fourth-order fuzzy problems with fuzzy coefficients”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 26, sy 2, Temmuz 2024, ss. 345-5, doi:10.25092/baunfbed.1394807.
Vancouver
1.Hülya Gültekin Çitil. A study on two fourth-order fuzzy problems with fuzzy coefficients. BAUN Fen. Bil. Enst. Dergisi. 01 Temmuz 2024;26(2):345-5. doi:10.25092/baunfbed.1394807