Some connections between the generalized Hukuhara derivative and the fuzzy derivative based on strong linear independence

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dc.authoridAllahviranloo, Tofigh/0000-0002-6673-3560
dc.authorwosidAllahviranloo, Tofigh/V-4843-2019
dc.contributor.authorEsmi, Estevao
dc.contributor.authorSilva, Jefferson
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorBarros, Laecio C.
dc.date.accessioned2024-05-19T14:41:44Z
dc.date.available2024-05-19T14:41:44Z
dc.date.issued2023
dc.departmentİstinye Üniversitesien_US
dc.description.abstractThis article investigates some connections between the notions of the generalized Hukuhara derivative and the Psi- derivative of fuzzy number-valued functions. The concept of Psi- differentiability is defined on a fuzzy number-valued function.. in the form of phi(x) =rho(1)(x)A(1)+ ... +rho(n) (x)A(n) where rho(1), ... rho(n) are.. real-valued functions defined on an interval [a,b] and {A(1),..A(n)} is a strongly linearly independent subset of fuzzy numbers. The Psi- derivative of phi at some x is phi'(x) = rho'(1)(x)A(1)+ ... +rho'(n) (x) A(n) whenever the derivatives rho'(1)(x)(,) ... , rho'(n) (x) exist. This article provides conditions for these two notions of derivatives of such functions to coincide. Moreover, under some weak conditions, we show that an arbitrary continuously gH-differentiable function defined on an interval [a,b] and its gH-derivative can be uniformly approximated as closely as desired by a.- differentiable function and its.- derivative, respectively. Finally, we apply these results to obtain numerical and analytical solutions of a simple fuzzy decay model described by a fuzzy initial value problem under gH-derivative.en_US
dc.description.sponsorshipCNPq [313313/2020-2, 314885/2021-8]en_US
dc.description.sponsorship1 Grantee CNPq 313313/2020-2.2 Grantee CNPq 314885/2021-8.en_US
dc.identifier.doi10.1016/j.ins.2023.119249
dc.identifier.issn0020-0255
dc.identifier.issn1872-6291
dc.identifier.scopus2-s2.0-85160848031en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org10.1016/j.ins.2023.119249
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5152
dc.identifier.volume643en_US
dc.identifier.wosWOS:001021822000001en_US
dc.identifier.wosqualityN/Aen_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.snmz20240519_kaen_US
dc.subjectFuzzy Numbersen_US
dc.subjectStrong Linear Independenceen_US
dc.subjectFuzzy Calculusen_US
dc.subjectBanach Spaceen_US
dc.subjectApproximationen_US
dc.subjectGeneralized Hukuhara Derivativeen_US
dc.subjectPsi-Derivativeen_US
dc.titleSome connections between the generalized Hukuhara derivative and the fuzzy derivative based on strong linear independenceen_US
dc.typeArticleen_US

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