Fuzzy Algorithmic Modeling of Economics and Innovation Process Dynamics Based on Preliminary Component Allocation by Singular Spectrum Analysis Method

In this article, the authors propose an algorithmic approach to building a model of the dynamics of economic and, in particular, innovation processes. The approach under consideration is based on a complex algorithm that includes (1) decomposition of the time series into components using singular sp...

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Main Authors: Alexey F. Rogachev, Alexey B. Simonov, Natalia V. Ketko, Natalia N. Skiter
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Algorithms
Subjects:
Online Access:https://www.mdpi.com/1999-4893/16/1/39
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author Alexey F. Rogachev
Alexey B. Simonov
Natalia V. Ketko
Natalia N. Skiter
author_facet Alexey F. Rogachev
Alexey B. Simonov
Natalia V. Ketko
Natalia N. Skiter
author_sort Alexey F. Rogachev
collection DOAJ
description In this article, the authors propose an algorithmic approach to building a model of the dynamics of economic and, in particular, innovation processes. The approach under consideration is based on a complex algorithm that includes (1) decomposition of the time series into components using singular spectrum analysis; (2) recognition of the optimal component model based on fuzzy rules, and (3) creation of statistical models of individual components with their combination. It is shown that this approach corresponds to the high uncertainty characteristic of the tasks of the dynamics of innovation processes. The proposed algorithm makes it possible to create effective models that can be used both for analysis and for predicting the future states of the processes under study. The advantage of this algorithm is the possibility to expand the base of rules and components used for modeling. This is an important condition for improving the algorithm and its applicability for solving a wide range of problems.
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spelling doaj.art-775269c3d67947d1a5301d7132d440882023-11-30T20:51:33ZengMDPI AGAlgorithms1999-48932023-01-011613910.3390/a16010039Fuzzy Algorithmic Modeling of Economics and Innovation Process Dynamics Based on Preliminary Component Allocation by Singular Spectrum Analysis MethodAlexey F. Rogachev0Alexey B. Simonov1Natalia V. Ketko2Natalia N. Skiter3Faculty of Economics and Management, Department of Information Systems in Economics, Volgograd State Technical University, 400005 Volgograd, RussiaFaculty of Economics and Management, Department of Information Systems in Economics, Volgograd State Technical University, 400005 Volgograd, RussiaFaculty of Economics and Management, Department of Information Systems in Economics, Volgograd State Technical University, 400005 Volgograd, RussiaFaculty of Economics and Management, Department of Information Systems in Economics, Volgograd State Technical University, 400005 Volgograd, RussiaIn this article, the authors propose an algorithmic approach to building a model of the dynamics of economic and, in particular, innovation processes. The approach under consideration is based on a complex algorithm that includes (1) decomposition of the time series into components using singular spectrum analysis; (2) recognition of the optimal component model based on fuzzy rules, and (3) creation of statistical models of individual components with their combination. It is shown that this approach corresponds to the high uncertainty characteristic of the tasks of the dynamics of innovation processes. The proposed algorithm makes it possible to create effective models that can be used both for analysis and for predicting the future states of the processes under study. The advantage of this algorithm is the possibility to expand the base of rules and components used for modeling. This is an important condition for improving the algorithm and its applicability for solving a wide range of problems.https://www.mdpi.com/1999-4893/16/1/39singular spectrum analysisfuzzy logicinnovative activitytime serieseconomic developmentmodels
spellingShingle Alexey F. Rogachev
Alexey B. Simonov
Natalia V. Ketko
Natalia N. Skiter
Fuzzy Algorithmic Modeling of Economics and Innovation Process Dynamics Based on Preliminary Component Allocation by Singular Spectrum Analysis Method
Algorithms
singular spectrum analysis
fuzzy logic
innovative activity
time series
economic development
models
title Fuzzy Algorithmic Modeling of Economics and Innovation Process Dynamics Based on Preliminary Component Allocation by Singular Spectrum Analysis Method
title_full Fuzzy Algorithmic Modeling of Economics and Innovation Process Dynamics Based on Preliminary Component Allocation by Singular Spectrum Analysis Method
title_fullStr Fuzzy Algorithmic Modeling of Economics and Innovation Process Dynamics Based on Preliminary Component Allocation by Singular Spectrum Analysis Method
title_full_unstemmed Fuzzy Algorithmic Modeling of Economics and Innovation Process Dynamics Based on Preliminary Component Allocation by Singular Spectrum Analysis Method
title_short Fuzzy Algorithmic Modeling of Economics and Innovation Process Dynamics Based on Preliminary Component Allocation by Singular Spectrum Analysis Method
title_sort fuzzy algorithmic modeling of economics and innovation process dynamics based on preliminary component allocation by singular spectrum analysis method
topic singular spectrum analysis
fuzzy logic
innovative activity
time series
economic development
models
url https://www.mdpi.com/1999-4893/16/1/39
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