<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Central European Economic Journal

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The paper presents various methods of solving systems of linear equations under conditions of uncertainty. In a situation when the parameters of such systems...

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

Published Online: Sep 11, 2019

Page range: 244 - 259

DOI: https://doi.org/10.1515/ceej-2018-0017

Keywords
Systems of linear equations, interval arithmetic, fuzzy numbers, ordered fuzzy numbers, Leontief model

© 2018 D. Kacprzak, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Sep 11, 2019

Page range: 244 - 259

DOI: https://doi.org/10.1515/ceej-2018-0017

KeywordsSystems of linear equations, interval arithmetic, fuzzy numbers, ordered fuzzy numbers, Leontief model

© 2018 D. Kacprzak, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Systems of linear equations, interval arithmetic, fuzzy numbers, ordered fuzzy numbers, Leontief model