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

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cris.virtual.department#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.department6d2929ee-9bc5-4489-971a-cc859e33e393
cris.virtualsource.orcid6d2929ee-9bc5-4489-971a-cc859e33e393
dc.contributor.affiliationTurkish Aeronautical Association; Turk Hava Kurumu University; TOBB Ekonomi ve Teknoloji University; TOBB Ekonomi ve Teknoloji University
dc.contributor.authorBayeg, Selami; Mert, Raziye; Akin, Omer; Khaniyev, Tahir
dc.date.accessioned2024-06-25T11:45:00Z
dc.date.available2024-06-25T11:45:00Z
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 (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.
dc.description.doi10.1007/s00500-021-06607-2
dc.description.endpage1683
dc.description.issue4
dc.description.pages13
dc.description.researchareasComputer Science
dc.description.startpage1671
dc.description.urihttp://dx.doi.org/10.1007/s00500-021-06607-2
dc.description.volume26
dc.description.woscategoryComputer Science, Artificial Intelligence; Computer Science, Interdisciplinary Applications
dc.identifier.issn1432-7643
dc.identifier.urihttps://acikarsiv.thk.edu.tr/handle/123456789/1208
dc.language.isoEnglish
dc.publisherSPRINGER
dc.relation.journalSOFT COMPUTING
dc.subjectType-2 fuzzy second order differential equation; Perfect triangular type-2 fuzzy number; (alpha,beta)-cut representation; Mechanical vibration; RLC circuit
dc.subjectDIFFERENTIAL-EQUATIONS; SETS
dc.titleOn a type-2 fuzzy approach to solution of second-order initial value problem
dc.typeArticle
dspace.entity.typePublication

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