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On the global solution of a fuzzy linear system
Izmir University, Izmir, Turkey.
Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, Utbildningsvetenskap och Matematik.ORCID-id: 0000-0002-8724-9049
2014 (engelsk)Inngår i: Journal of Fuzzy Set Valued Analysis, ISSN 2193-4169, artikkel-id jfsva-00190Artikkel i tidsskrift (Annet vitenskapelig) Published
##### Abstract [en]

The global solution of a fuzzy linear system contains the crisp vector solution of a real linear system. So discussion about the global solution of a $n\times n$ fuzzy linear system $A\tilde{x}=\tilde{b}$ with a fuzzy number vector $b$ in the right hand side and crisp a coefficient matrix $A$ is considered. The advantage of the paper is developing a new algorithm to find the solution of such system by considering a global solution based upon the concept of a convex fuzzy numbers. At first the existence and uniqueness of the solution are introduced and then the related theorems and properties about the solution are proved in details. Finally the method is illustrated by solving some numerical examples.

##### sted, utgiver, år, opplag, sider
International Scientific Publications and Consulting Services , 2014. artikkel-id jfsva-00190
##### Emneord [en]
Fuzzy linear system, Algebraic solution, Fuzzy number
##### Identifikatorer
OAI: oai:DiVA.org:mdh-27736DiVA, id: diva2:797971
Tilgjengelig fra: 2015-03-25 Laget: 2015-03-25 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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On the global solution of a fuzzy linear system

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Tahvili, Sahar
##### I samme tidsskrift
Journal of Fuzzy Set Valued Analysis

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Totalt: 353 treff

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