Araştırma Makalesi

ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM

Cilt: 7 Sayı: 2 31 Temmuz 2024
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EN

ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM

Öz

In this manuscript, the eigenvalues and eigenfunctions of the twopoint fuzzy boundary value problem (FBVP) are analyzed under the concept of interactivity between the fuzzy numbers found in the boundary conditions. A fuzzy solution is provided for this problem via sup-J extension, which can be seen as a generalization of Zadeh’s extension principle. Finally, an example is presented in order to compare the given features.

Anahtar Kelimeler

Kaynakça

  1. L.C. Barros, R.C. Bassanezi and P.A. Tonelli, On the continuity of the Zadeh's extension, Seventh IFSA World Congress, Prague, pp. 22-26 (1997).
  2. L.C. Barros, R.C. Bassanezi and W.A. Lodwick, A first Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics: Theory and applications, Springer Cham., London, (2017).
  3. L.C. Barros, F.S. Pedro, Fuzzy differential equations with interactive derivative, Fuzzy Sets and Systems, Vol. 309, pp. 64-80 (2017).
  4. B. Bede and L. Stefanini, Generalized differentiability of fuzzy-valued functions, Fuzzy Sets and Systems, Vol. 230, pp. 119-141 (2013).
  5. C. Carlsson, R. Fuller and P. Majlender, Additions of Completely Correlated Fuzzy Numbers, IEEE International Conference on Fuzzy Systems, (2004).
  6. T. Ceylan and N. Altınışık, Eigenvalue problem with fuzzy coeffcients of boundary conditions, Scholars Journal of Physics, Mathematics and Statistics, Vol. 5, N. 2, pp. 187-193 (2018).
  7. P. Diamond and P. Kloeden, Metric spaces of fuzzy sets World Scientific, World Scientific, Singapore, (1994).
  8. E. Esmi, D.E. Sanchez, V.F. Wasques and L.C. Barros, Solutions of higher order linear fuzzy differential equations with interactive fuzzy values, Fuzzy Sets and Systems, Vol. 419, N. 1, pp. 122-140 (2021).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Bulanık Hesaplama

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Temmuz 2024

Gönderilme Tarihi

12 Ekim 2023

Kabul Tarihi

29 Temmuz 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 7 Sayı: 2

Kaynak Göster

APA
Ceylan, T. (2024). ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM. Journal of Universal Mathematics, 7(2), 85-98. https://doi.org/10.33773/jum.1375017
AMA
1.Ceylan T. ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM. JUM. 2024;7(2):85-98. doi:10.33773/jum.1375017
Chicago
Ceylan, Tahir. 2024. “ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM”. Journal of Universal Mathematics 7 (2): 85-98. https://doi.org/10.33773/jum.1375017.
EndNote
Ceylan T (01 Temmuz 2024) ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM. Journal of Universal Mathematics 7 2 85–98.
IEEE
[1]T. Ceylan, “ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM”, JUM, c. 7, sy 2, ss. 85–98, Tem. 2024, doi: 10.33773/jum.1375017.
ISNAD
Ceylan, Tahir. “ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM”. Journal of Universal Mathematics 7/2 (01 Temmuz 2024): 85-98. https://doi.org/10.33773/jum.1375017.
JAMA
1.Ceylan T. ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM. JUM. 2024;7:85–98.
MLA
Ceylan, Tahir. “ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM”. Journal of Universal Mathematics, c. 7, sy 2, Temmuz 2024, ss. 85-98, doi:10.33773/jum.1375017.
Vancouver
1.Tahir Ceylan. ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM. JUM. 01 Temmuz 2024;7(2):85-98. doi:10.33773/jum.1375017