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https://hdl.handle.net/20.500.11851/6085
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Gasilov, Nizami | - |
dc.contributor.author | Amrahov, Şahin Emrah | - |
dc.contributor.author | Fatullayev, Afet Golayoğlu | - |
dc.contributor.author | Karakas, Halil İbrahim | - |
dc.contributor.author | Akın, Ömer | - |
dc.date.accessioned | 2021-09-11T15:34:54Z | - |
dc.date.available | 2021-09-11T15:34:54Z | - |
dc.date.issued | 2011 | en_US |
dc.identifier.issn | 1526-1492 | - |
dc.identifier.issn | 1526-1506 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/6085 | - |
dc.description.abstract | In this paper, linear systems with a crisp real coefficient matrix and with a vector of fuzzy triangular numbers on the right-hand side are studied. A new method, which is based on the geometric representations of linear transformations, is proposed to find solutions. The method uses the fact that a vector of fuzzy triangular numbers forms a rectangular prism in n-dimensional space and that the image of a parallelepiped is also a parallelepiped under a linear transformation. The suggested method clarifies why in general case different approaches do not generate solutions as fuzzy numbers. It is geometrically proved that if the coefficient matrix is a generalized permutation matrix, then the solution of a fuzzy linear system (FLS) is a vector of fuzzy numbers irrespective of the vector on the right-hand side. The most important difference between this and previous papers on FLS is that the solution is sought as a fuzzy set of vectors (with real components) rather than a vector of fuzzy numbers. Each vector in the solution set solves the given FLS with a certain possibility. The suggested method can also be applied in the case when the right-hand side is a vector of fuzzy numbers in parametric form. However, in this case, alpha-cuts of the solution cannot be determined by geometric similarity and additional computations are needed. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Tech Science Press | en_US |
dc.relation.ispartof | Cmes-Computer Modeling In Engineering & Sciences | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Fuzzy linear system | en_US |
dc.subject | triangular fuzzy number | en_US |
dc.subject | generalized permutation matrix | en_US |
dc.title | A Geometric Approach To Solve Fuzzy Linear Systems | en_US |
dc.type | Article | en_US |
dc.department | Faculties, Faculty of Science and Literature, Department of Mathematics | en_US |
dc.department | Fakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü | tr_TR |
dc.identifier.volume | 75 | en_US |
dc.identifier.issue | 3-4 | en_US |
dc.identifier.startpage | 189 | en_US |
dc.identifier.endpage | 203 | en_US |
dc.identifier.wos | WOS:000295152100002 | en_US |
dc.identifier.scopus | 2-s2.0-80052711282 | en_US |
dc.institutionauthor | Akın, Ömer | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopusquality | Q1 | - |
item.openairetype | Article | - |
item.languageiso639-1 | en | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | 07.03. Department of Mathematics | - |
Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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