Bipolar fuzzy Fourier transform for bipolar fuzzy solution of the bipolar fuzzy heat equation
Küçük Resim Yok
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Sistan and Baluchestan
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This article presents the exact solution of a bipolar fuzzy heat equation based on bipolar fuzzy Fourier transform under generalized Hukuhara partial (gH-p) differentiability. A bipolar fuzzy Fourier transform is defined, and the related key propositions and fundamental characteristics are discussed. Further, a bipolar fuzzy heat equation model is constructed using gH-differentiability, and the analytical solution of a bipolar fuzzy heat equation with bipolar fuzzy Fourier transform approach is examined. Some illustrative examples are provided to check the suggested methodology’s liability and efficiency. The type of differentiability and the solution of the bipolar fuzzy heat equation are shown graphically, demonstrating the versatility of the proposed methodology and elucidating the impact of differentiability types on the solution behavior of the bipolar fuzzy heat equation. Additionally, the impact of different parameters on the solution behavior is analyzed, revealing insights into the underlying dynamics. © 2024, University of Sistan and Baluchestan. All rights reserved.
Açıklama
Anahtar Kelimeler
Bipolar Fuzzy Sets, Fourier Transform, Generalized Hukuhara Differentiability, Heat Equation
Kaynak
Iranian Journal of Fuzzy Systems
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
21
Sayı
3
Künye
Akram, M., Bilal, M., Shahriari, M., & Allahviranloo, T. (2024). Bipolar fuzzy Fourier transform for bipolar fuzzy solution of the bipolar fuzzy heat equation. Iranian Journal of Fuzzy Systems, 21(3), 19-36.
