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

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

Author(s): Dariusz Kacprzak
Subject(s): Methodology and research technology
Published by: Wydawnictwa Uniwersytetu Warszawskiego
Keywords: Systems of linear equations; interval arithmetic; fuzzy numbers; ordered fuzzy numbers; Leontief model;

Summary/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.

  • Issue Year: 5/2018
  • Issue No: 52
  • Page Range: 244-259
  • Page Count: 16
  • Language: English
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