Bipolar fuzzy Fourier transform for bipolar fuzzy solution of the bipolar fuzzy heat equation

dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorAkram, Muhammad Saeed
dc.contributor.authorBilal, Muhammad Hamza
dc.contributor.authorShahriari, Mohammadreza
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2025-04-18T08:15:39Z
dc.date.available2025-04-18T08:15:39Z
dc.date.issued2022
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Yazılım Mühendisliği Bölümü
dc.description.abstractThis 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.
dc.identifier.citationAkram, 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.
dc.identifier.doi10.22111/ijfs.2024.46925.8264
dc.identifier.endpage36
dc.identifier.issn17350654
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85200739725
dc.identifier.scopusqualityQ1
dc.identifier.startpage19
dc.identifier.urihttp://dx.doi.org/10.22111/ijfs.2024.46925.8264
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6535
dc.identifier.volume21
dc.identifier.wosWOS:001274130300002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorAllahviranloo, Tofigh
dc.institutionauthoridTofigh Allahviranloo / 0000-0002-6673-3560
dc.language.isoen
dc.publisherUniversity of Sistan and Baluchestan
dc.relation.ispartofIranian Journal of Fuzzy Systems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBipolar Fuzzy Sets
dc.subjectFourier Transform
dc.subjectGeneralized Hukuhara Differentiability
dc.subjectHeat Equation
dc.titleBipolar fuzzy Fourier transform for bipolar fuzzy solution of the bipolar fuzzy heat equation
dc.typeArticle

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