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...

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Main Authors: Joan Carles Ferrer-Comalat, Dolors Corominas-Coll, Salvador Linares-Mustarós
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/8/826
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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.
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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
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