A Fuzzy Economic Dynamic Model
In the study presented here, fuzzy logic was used to analyze the behavior of a model of economic dynamics that assumes income to be in equilibrium when it is composed of consumption and investment, that is, when savings and investment are equal. The study considered that consumption and savings depe...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2021-04-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/9/8/826 |
_version_ | 1827695516151971840 |
---|---|
author | Joan Carles Ferrer-Comalat Dolors Corominas-Coll Salvador Linares-Mustarós |
author_facet | Joan Carles Ferrer-Comalat Dolors Corominas-Coll Salvador Linares-Mustarós |
author_sort | Joan Carles Ferrer-Comalat |
collection | DOAJ |
description | In the study presented here, fuzzy logic was used to analyze the behavior of a model of economic dynamics that assumes income to be in equilibrium when it is composed of consumption and investment, that is, when savings and investment are equal. The study considered that consumption and savings depend on the income of the previous period through uncertain factors, and, at the same time, that investment is an uncertain magnitude across various periods, represented as a fuzzy number with a known membership function. Under these conditions, the model determines the factor of income growth and investments required to maintain equilibrium, as well as the uncertain values of income for the different periods, expressed through fuzzy numbers. The study also analyzes the conditions for their convergence and the fuzzy value that income represents in equilibrium. |
first_indexed | 2024-03-10T12:27:23Z |
format | Article |
id | doaj.art-cd38a9e0afdf4de0ac6764fd5d4ee5c6 |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-10T12:27:23Z |
publishDate | 2021-04-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
spelling | doaj.art-cd38a9e0afdf4de0ac6764fd5d4ee5c62023-11-21T14:57:31ZengMDPI AGMathematics2227-73902021-04-019882610.3390/math9080826A Fuzzy Economic Dynamic ModelJoan Carles Ferrer-Comalat0Dolors Corominas-Coll1Salvador Linares-Mustarós2Department of Business Administration, University of Girona, C/ Universitat de Girona 10, 17071 Girona, SpainDepartment of Business Administration, University of Girona, C/ Universitat de Girona 10, 17071 Girona, SpainDepartment of Business Administration, University of Girona, C/ Universitat de Girona 10, 17071 Girona, SpainIn the study presented here, fuzzy logic was used to analyze the behavior of a model of economic dynamics that assumes income to be in equilibrium when it is composed of consumption and investment, that is, when savings and investment are equal. The study considered that consumption and savings depend on the income of the previous period through uncertain factors, and, at the same time, that investment is an uncertain magnitude across various periods, represented as a fuzzy number with a known membership function. Under these conditions, the model determines the factor of income growth and investments required to maintain equilibrium, as well as the uncertain values of income for the different periods, expressed through fuzzy numbers. The study also analyzes the conditions for their convergence and the fuzzy value that income represents in equilibrium.https://www.mdpi.com/2227-7390/9/8/826fuzzy logicfuzzy arithmeticextension principleeconomic modelsnational income |
spellingShingle | Joan Carles Ferrer-Comalat Dolors Corominas-Coll Salvador Linares-Mustarós A Fuzzy Economic Dynamic Model Mathematics fuzzy logic fuzzy arithmetic extension principle economic models national income |
title | A Fuzzy Economic Dynamic Model |
title_full | A Fuzzy Economic Dynamic Model |
title_fullStr | A Fuzzy Economic Dynamic Model |
title_full_unstemmed | A Fuzzy Economic Dynamic Model |
title_short | A Fuzzy Economic Dynamic Model |
title_sort | fuzzy economic dynamic model |
topic | fuzzy logic fuzzy arithmetic extension principle economic models national income |
url | https://www.mdpi.com/2227-7390/9/8/826 |
work_keys_str_mv | AT joancarlesferrercomalat afuzzyeconomicdynamicmodel AT dolorscorominascoll afuzzyeconomicdynamicmodel AT salvadorlinaresmustaros afuzzyeconomicdynamicmodel AT joancarlesferrercomalat fuzzyeconomicdynamicmodel AT dolorscorominascoll fuzzyeconomicdynamicmodel AT salvadorlinaresmustaros fuzzyeconomicdynamicmodel |