Solution of a System of Linear Equations with Fuzzy Numbers
Result description
In this paper, the interval nature of fuzzy numbers is revealed by showing that many interesting results from classical interval analysis transfer also into the fuzzy case. The paper deals with a solution of a fuzzy interval system of linear equations, i.e., a system in which fuzzy intervals (numbers) appear instead of crisp numbers.
Keywords
fuzzy numberfuzzy intervalinterval analysisfuzzy arithmeticfuzzy class theoryunited solution set
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Solution of a System of Linear Equations with Fuzzy Numbers
Original language description
In this paper, the interval nature of fuzzy numbers is revealed by showing that many interesting results from classical interval analysis transfer also into the fuzzy case. The paper deals with a solution of a fuzzy interval system of linear equations, i.e., a system in which fuzzy intervals (numbers) appear instead of crisp numbers.
Czech name
Řešení soustav lineárních rovnic s fuzzy čísly
Czech description
V tomto článku ukazujeme, že několik zásadních výsledků z klasické intervalové analýzy platí i ve fuzzy logikách. Tyto výsledky pak aplikujeme na soustavy lineárních rovnic, kde se místo klasických (ostrých) čísel mohou vyskytovat fuzzy čísla.
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
KJB100300502: Formal theories of mathematical structures with vagueness
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fuzzy Sets and Systems
ISSN
0165-0114
e-ISSN
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Volume of the periodical
159
Issue of the periodical within the volume
14
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
23
Pages from-to
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UT code for WoS article
000257360100004
EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2008