Solving Systems of Linear Equations under Conditions of Uncertainty on the Example of the Leontief Model

Kacprzak Dariusz ()
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Kacprzak Dariusz: Faculty of Computer Science, Bialystok University of Technology, Bialystok, Poland

Central European Economic Journal, 2019, vol. 5, issue 52, 244-259

Abstract: The paper presents various methods of solving systems of linear equations under conditions of uncertainty. In a situation when the parameters of such systems cannot be precisely determined with real numbers, they can be represented by interval numbers, fuzzy numbers or ordered fuzzy numbers. Solutions of systems of linear equations with such representations of parameters are shown in the example of Leontief input-output model. It has also been shown that when ordered fuzzy numbers are applied, their additional feature – orientation – can broaden and deepen economic analysis.

Keywords: Systems of linear equations; interval arithmetic; fuzzy numbers; ordered fuzzy numbers; Leontief model (search for similar items in EconPapers)
JEL-codes: C02 C30 D57 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:ceuecj:v:5:y:2019:i:52:p:244-259:n:13

DOI: 10.1515/ceej-2018-0017

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