NUMERICAL SOLUTION OF DUAL FUZZY SYLVESTER MATRIX EQUATIONS BY AN ITERATION METHOD

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dc.authoridAllahviranloo, Tofigh/0000-0002-6673-3560
dc.authorwosidAllahviranloo, Tofigh/V-4843-2019
dc.contributor.authorGhanbari, M.
dc.contributor.authorAllahviranloo, T.
dc.contributor.authorPedrycz, W.
dc.contributor.authorNuraei, R.
dc.date.accessioned2024-05-19T14:40:59Z
dc.date.available2024-05-19T14:40:59Z
dc.date.issued2023
dc.departmentİstinye Üniversitesien_US
dc.description.abstractIn this paper, dual fuzzy Sylvester matrix equations are studied for the first time. Two general approaches are presented to solve these equations. In the first approach, a dual fuzzy Sylvester matrix equation is transformed into a numeric linear system by Vec-operation and Kronecker product, where the dimension of the obtained system is much larger than the di-mension of original equation. In this reason, this method is not feasible for numerical solving of a dual fuzzy Sylvester matrix equation of a large dimension. In the second proposed approach, a dual fuzzy Sylvester matrix equation is transformed into two numeric Sylvester matrix equa-tions of the same dimensionality of the original problem. In the next step, a new iteration method is applied for solving the obtained numeric equations without using Vec-operation and Kronecker product. Finally, the efficiency and ability of the proposed method is illustrated by two numerical examples.en_US
dc.identifier.doi10.30546/1683-6154.22.4.2023.382
dc.identifier.endpage399en_US
dc.identifier.issn1683-3511
dc.identifier.issn1683-6154
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85179988890en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage382en_US
dc.identifier.urihttps://doi.org10.30546/1683-6154.22.4.2023.382
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5045
dc.identifier.volume22en_US
dc.identifier.wosWOS:001121207200007en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMinistry Communications & High Technologies Republic Azerbaijanen_US
dc.relation.ispartofApplied and Computational Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectDual Fuzzy Sylvester Matrix Equationen_US
dc.subjectKronecker Producten_US
dc.subjectVec-Operationen_US
dc.subjectFuzzy Numberen_US
dc.subjectHomotopy Analysis Methoden_US
dc.titleNUMERICAL SOLUTION OF DUAL FUZZY SYLVESTER MATRIX EQUATIONS BY AN ITERATION METHODen_US
dc.typeArticleen_US

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