Solution method for a boundary value problem with fuzzy forcing function

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dc.authoridGasilov, Nizami/0000-0002-9955-8439
dc.authoridEmrah Amrahov, Sahin/0000-0001-7747-5467
dc.contributor.authorGasilov, N. A.
dc.contributor.authorAmrahov, S. E.
dc.contributor.authorFatullayev, A. G.
dc.contributor.authorHashimoglu, I. F.
dc.date.accessioned2024-09-29T15:57:22Z
dc.date.available2024-09-29T15:57:22Z
dc.date.issued2015
dc.departmentKarabük Üniversitesien_US
dc.description.abstractIn this paper, we present a new approach to a non-homogeneous fuzzy boundary value problem. We consider a linear differential equation with real coefficients but with a fuzzy forcing function and fuzzy boundary values. We assume that the forcing function is a triangular fuzzy function. Unlike previous studies, we look for a solution that is a fuzzy set of real functions (not a fuzzy-valued function). Each of these real functions satisfies the boundary value problem with some membership degree. We have developed a method that finds this solution, and demonstrated its effectiveness using a test example. To show that the approach can be extended to other types of fuzzy numbers, we extended it to the trapezoidal case. For a particular example, we used the product t-norm to demonstrate how a new solution type can be obtained. (C) 2015 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.ins.2015.05.002
dc.identifier.endpage368en_US
dc.identifier.issn0020-0255
dc.identifier.issn1872-6291
dc.identifier.scopus2-s2.0-84930153067en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage349en_US
dc.identifier.urihttps://doi.org/10.1016/j.ins.2015.05.002
dc.identifier.urihttps://hdl.handle.net/20.500.14619/4781
dc.identifier.volume317en_US
dc.identifier.wosWOS:000358093400021en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofInformation Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFuzzy boundary value problemen_US
dc.subjectFuzzy differential equationen_US
dc.subjectFuzzy seten_US
dc.titleSolution method for a boundary value problem with fuzzy forcing functionen_US
dc.typeArticleen_US

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