On a type-2 fuzzy approach to solution of second-order initial value problem

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dc.contributor.authorBayeğ, Selami
dc.contributor.authorMert, Raziye
dc.contributor.authorAkın, Ömer
dc.contributor.authorKhaniyev, Tahir
dc.date.accessioned2025-01-06T17:29:59Z
dc.date.available2025-01-06T17:29:59Z
dc.date.issued2022
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 (?, ?) -cut representation. With respect to this (?, ?) -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. © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
dc.identifier.doi10.1007/s00500-021-06607-2
dc.identifier.endpage1683
dc.identifier.issn1432-7643
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85123239998
dc.identifier.scopusqualityQ1
dc.identifier.startpage1671
dc.identifier.urihttps://doi.org/10.1007/s00500-021-06607-2
dc.identifier.urihttps://hdl.handle.net/20.500.14669/1437
dc.identifier.volume26
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.relation.ispartofSoft Computing
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241211
dc.subject(?, ?) -cut representation
dc.subjectMechanical vibration
dc.subjectPerfect triangular type-2 fuzzy number
dc.subjectRLC circuit
dc.subjectType-2 fuzzy second order differential equation
dc.titleOn a type-2 fuzzy approach to solution of second-order initial value problem
dc.typeArticle

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