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On the global solut...
On the global solution of a fuzzy linear system
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- Allahviranloo, Tofigh (author)
- Azad University, Teheran, Iran
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- Arjan, Skuka (author)
- Izmir University, Izmir, Turkey
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- Tahvili, Sahar (author)
- RISE,Mälardalens högskola,Utbildningsvetenskap och Matematik,SICS
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(creator_code:org_t)
- 2014
- 2014
- English.
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In: Journal of Fuzzy Set Valued Analysis. - : International Scientific Publications and Consulting Services. - 2193-4169. ; 2014
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Abstract
Subject headings
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- 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 fuzzy linear system with a fuzzy number vector in the right hand side and crisp a coefficient matrix 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
- NATURVETENSKAP -- Data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences (hsv//eng)
Keyword
- Fuzzy linear system
- Algebraic solution
- Fuzzy number
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
Publication and Content Type
- vet (subject category)
- art (subject category)
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