Research Article

ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM

Volume: 7 Number: 2 July 31, 2024
EN

ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM

Abstract

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.

Keywords

References

  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).
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  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).
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  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).

Details

Primary Language

English

Subjects

Fuzzy Computation

Journal Section

Research Article

Publication Date

July 31, 2024

Submission Date

October 12, 2023

Acceptance Date

July 29, 2024

Published in Issue

Year 2024 Volume: 7 Number: 2

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 (July 1, 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, vol. 7, no. 2, pp. 85–98, July 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 (July 1, 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, vol. 7, no. 2, July 2024, pp. 85-98, doi:10.33773/jum.1375017.
Vancouver
1.Tahir Ceylan. ON INTERACTIVE SOLUTION FOR TWO POINT FUZZY BOUNDARY VALUE PROBLEM. JUM. 2024 Jul. 1;7(2):85-98. doi:10.33773/jum.1375017