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On the global solution of a fuzzy linear system
RISE, Swedish ICT, SICS.ORCID iD: 0000-0002-8724-9049
2014 (English)In: Journal of Fuzzy Set Valued Analysis, ISPACS, Vol. 2014Article in journal (Refereed) 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 × n fuzzy linear system Ax˜ = 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. Keywords: Fuzzy linear system, Algebraic solution, Fuzzy number.

Place, publisher, year, edition, pages
2014, 6. Vol. 2014
National Category
Computer and Information Sciences
Identifiers
URN: urn:nbn:se:ri:diva-24439OAI: oai:DiVA.org:ri-24439DiVA, id: diva2:1043520
Available from: 2016-10-31 Created: 2016-10-31 Last updated: 2018-01-13Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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  • de-DE
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  • en-US
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  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
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  • asciidoc
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