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dc.contributor.authorMikaeilvand, Nasser
dc.contributor.authorNoeiaghdam, Zahra
dc.contributor.authorNoeiaghdam, Samad
dc.contributor.authorNieto Roig, Juan José
dc.date.accessioned2020-11-10T11:09:40Z
dc.date.available2020-11-10T11:09:40Z
dc.date.issued2020
dc.identifier.citationMikaeilvand, N.; Noeiaghdam, Z.; Noeiaghdam, S.; Nieto, J.J. A Novel Technique to Solve the Fuzzy System of Equations. Mathematics 2020, 8, 850
dc.identifier.urihttp://hdl.handle.net/10347/23640
dc.description.abstractThe aim of this research is to apply a novel technique based on the embedding method to solve the n×n fuzzy system of linear equations (FSLEs). By using this method, the strong fuzzy number solutions of FSLEs can be obtained in two steps. In the first step, if the created n×n crisp linear system has a non-negative solution, the fuzzy linear system will have a fuzzy number vector solution that will be found in the second step by solving another created n×n crisp linear system. Several theorems have been proved to show that the number of operations by the presented method are less than the number of operations by Friedman and Ezzati’s methods. To show the advantages of this scheme, two applicable algorithms and flowcharts are presented and several numerical examples are solved by applying them. Furthermore, some graphs of the obtained results are demonstrated that show the solutions are fuzzy number vectors
dc.description.sponsorshipThis research was funded by partially supported by Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER, and XUNTA de Galicia under grants ED431C 2019-02 and R2016-022
dc.language.isoeng
dc.publisherMDPI
dc.rights© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)
dc.rightsAtribución 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectFuzzy linear system
dc.subjectFuzzy number
dc.subjectFuzzy number vector
dc.subjectEmbedding method
dc.titleA Novel Technique to Solve the Fuzzy System of Equations
dc.typeinfo:eu-repo/semantics/article
dc.identifier.DOI10.3390/math8050850
dc.relation.publisherversionhttps://doi.org/10.3390/math8050850
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.e-issn2227-7390
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.description.peerreviewedSI


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© 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)
Except where otherwise noted, this item's license is described as  © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/)





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