A Cramer Method for Solving Fully Fuzzy Linear Systems Based on Transmission Average

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dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorBabakordi, Fatemeh
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2025-04-17T20:13:29Z
dc.date.available2025-04-17T20:13:29Z
dc.date.issued2022
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Yazılım Mühendisliği Bölümü
dc.description.abstractSolving fuzzy linear systems has been widely studied during the last decades. However, there are still many challenges to solving fuzzy linear equations, as most of the studies have used the principle of extension, which suffers from shortcomings such as the lack of solution, achieving solutions under very strong conditions, large support of the obtained solutions, inaccurate or even incorrect solutions due to not utilizing all the available information, complicated process and high computational load. These problems motivated us to present a fuzzy Cramer method for solving fuzzy linear equations, which uses arithmetic operations based on the Transmission Average (TA). In this study, fully fuzzy linear systems in the form of à ˜X = ˜B, and dual fuzzy linear systems in the form of à ˜X + ˜B =˜C ˜X + ˜D are solved using the proposed fuzzy Cramer method, and numerical examples are provided to confirm the effectiveness and applicability of the proposed method. © 2022 by the authors.
dc.identifier.citationBabakordi, F., & Allahviranloo, T. (2022). A Cramer Method for Solving Fully Fuzzy Linear Systems Based on Transmission Average. Control and Optimization in Applied Mathematics, 7(2), 115-130.
dc.identifier.doi10.30473/coam.2022.62157.1186
dc.identifier.endpage130
dc.identifier.issn23833130
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85190123790
dc.identifier.startpage115
dc.identifier.urihttp://dx.doi.org/10.30473/coam.2022.62157.1186
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6309
dc.identifier.volume7
dc.indekslendigikaynakScopus
dc.institutionauthorAllahviranloo, Tofigh
dc.institutionauthoridTofigh Allahviranloo / 0000-0002-6673-3560
dc.language.isoen
dc.publisherPayame Noor University (PNU)
dc.relation.ispartofControl and Optimization in Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFuzzy Arithmetic
dc.subjectFuzzy Cramer Method
dc.subjectTransmission Average
dc.subjectFuzzy Approximation
dc.titleA Cramer Method for Solving Fully Fuzzy Linear Systems Based on Transmission Average
dc.typeArticle

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