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Solution of a System of Linear Equations with Fuzzy Numbers
- 1.0306558 - ÚI 2009 RIV NL eng J - Journal Article
Horčík, Rostislav
Solution of a System of Linear Equations with Fuzzy Numbers.
[Řešení soustav lineárních rovnic s fuzzy čísly.]
Fuzzy Sets and Systems. Roč. 159, č. 14 (2008), s. 1788-1810. ISSN 0165-0114. E-ISSN 1872-6801
R&D Projects: GA AV ČR KJB100300502
Institutional research plan: CEZ:AV0Z10300504
Keywords : fuzzy number * fuzzy interval * interval analysis * fuzzy arithmetic * fuzzy class theory * united solution set
Subject RIV: BA - General Mathematics
Impact factor: 1.833, year: 2008
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.
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.
Permanent Link: http://hdl.handle.net/11104/0159548
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