Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/8548
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dc.contributor.authorBayeg, Selami-
dc.contributor.authorMert, Raziye-
dc.contributor.authorAkın, Omer-
dc.contributor.authorKhaniyev, Tahir-
dc.date.accessioned2022-07-30T16:39:29Z-
dc.date.available2022-07-30T16:39:29Z-
dc.date.issued2022-
dc.identifier.citationBayeğ, S., Mert, R., Akın, Ö., & Khaniyev, T. (2022). On a type-2 fuzzy approach to solution of second-order initial value problem. Soft Computing, 26(4), 1671-1683.en_US
dc.identifier.issn1432-7643-
dc.identifier.issn1433-7479-
dc.identifier.urihttps://doi.org/10.1007/s00500-021-06607-2-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/8548-
dc.description.abstractIn this paper, we have proposed a new representation of the triangular type-2 fuzzy numbers called the perfect triangular type-2 fuzzy numbers and defined their level sets by the (alpha, beta)-cut representation. With respect to this (alpha, beta)-cut representation, we have defined the algebraic operations for perfect triangular type-2 fuzzy numbers by using interval arithmetics. And then, we have proposed a method to find the solutions for second-order initial value problems with perfect triangular type-2 fuzzy initial conditions and forcing coefficients based on the Zadeh's extension principle. Finally, we have used the proposed method for the mechanical vibration and RLC circuit models with perfect triangular type-2 fuzzy numbers.en_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofSoft Computingen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectType-2 fuzzy second order differential equationen_US
dc.subjectPerfect triangular type-2 fuzzy numberen_US
dc.subject(alpha,beta)-cut representationen_US
dc.subjectMechanical vibrationen_US
dc.subjectRLC circuiten_US
dc.subjectDifferential-Equationsen_US
dc.subjectSetsen_US
dc.titleOn a Type-2 Fuzzy Approach To Solution of Second-Order Initial Value Problemen_US
dc.typeArticleen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentFakülteler, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümüen_US
dc.departmentFaculties, Faculty of Science and Literature, Department of Mathematicsen_US
dc.departmentFaculties, Faculty of Engineering, Department of Industrial Engineeringen_US
dc.identifier.volume26en_US
dc.identifier.issue4en_US
dc.identifier.startpage1671en_US
dc.identifier.endpage1683en_US
dc.identifier.wosWOS:000744918000004-
dc.identifier.scopus2-s2.0-85123239998-
dc.institutionauthorAkın, Ömer-
dc.institutionauthorHanalioğlu (Khaniyev), Tahir-
dc.identifier.doi10.1007/s00500-021-06607-2-
dc.authorscopusid57212601809-
dc.authorscopusid57491916300-
dc.authorscopusid7005769812-
dc.authorscopusid7801652544-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ1-
dc.identifier.wosqualityQ2-
item.fulltextNo Fulltext-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.grantfulltextnone-
crisitem.author.dept07.03. Department of Mathematics-
crisitem.author.dept02.4. Department of Industrial Engineering-
Appears in Collections:Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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