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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
- 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).
- Akin O., Bayeg S., Intuitionistic fuzzy initial value problems-an application, Hacettepe Journal of Mathematics and Statistics, 48, 6, 1682-1694, (2019).
- 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).
- 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).
- 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).
- 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).
- Gültekin Çitil H., Comparison results of linear differential equations with fuzzy boundary values, Journal of Science and Arts, 1, 42, 33-48, (2018).
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Ayrıntılar
Birincil Dil
İngilizce
Konular
Uygulamalı Matematik (Diğer)
Bölüm
Araştırma Makalesi
Yazarlar
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
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