Development of the Methodology and Mathematical Tools for Strategic Decision-Making Process Modeling of the Digital Business Ecosystem

This article presents a methodology of the decision-making process using mathematical tools, which can become a practical tool for decision-makers on the functioning and strategic development of business ecosystems and their components depending on changes in the internal, micro- and macroenvironmen...

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Main Authors: Vitaly Viktorovich Kuzin, Oksana Yurievna Kirillova, Leonid Alexandrovich Zhigun, Alla Vavilina
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/7/1161
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author Vitaly Viktorovich Kuzin
Oksana Yurievna Kirillova
Leonid Alexandrovich Zhigun
Alla Vavilina
author_facet Vitaly Viktorovich Kuzin
Oksana Yurievna Kirillova
Leonid Alexandrovich Zhigun
Alla Vavilina
author_sort Vitaly Viktorovich Kuzin
collection DOAJ
description This article presents a methodology of the decision-making process using mathematical tools, which can become a practical tool for decision-makers on the functioning and strategic development of business ecosystems and their components depending on changes in the internal, micro- and macroenvironment. An algorithm for finding linearly independent elements of digital business ecosystems and a new option for interpreting their results are developed. It is proposed that this impact be determined by calculating the eigenvectors of the matrix and identifying the dependence through the contribution of the eigenvectors to the overall mechanism of the system. A system analysis of the properties of business ecosystems is carried out with a subsequent description of the methodology for studying the impact of financial indicators on it. As an example of data for calculation, the article uses Yandex data for 2023, as the most indicative business ecosystem with all the necessary properties. The results of the study allow formulating recommendations for top management on making management decisions and points of application of efforts. Combining the developed methodology with promising technologies for automated calculation of big data and AI will provide a flexible management tool with the possibility of its further development.
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issn 2227-7390
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publisher MDPI AG
record_format Article
series Mathematics
spelling doaj-art-def52514c8d54090946188c5dbff246b2025-08-20T02:09:17ZengMDPI AGMathematics2227-73902025-03-01137116110.3390/math13071161Development of the Methodology and Mathematical Tools for Strategic Decision-Making Process Modeling of the Digital Business EcosystemVitaly Viktorovich Kuzin0Oksana Yurievna Kirillova1Leonid Alexandrovich Zhigun2Alla Vavilina3Research and Design Institute of Informatization, Automation and Communications in Railway Transport, JSC “NIIAS”, 27/1, Nizhegorodskaya str., Moscow 109029, RussiaPlekhanov Russian University of Economics, 36, Stremyanny Lane, Moscow 109992, RussiaPlekhanov Russian University of Economics, 36, Stremyanny Lane, Moscow 109992, RussiaSchool of Economics, People’s Friendship University of Russia (RUDN University), 6, Miklukho-Maklaya, Moscow 117198, RussiaThis article presents a methodology of the decision-making process using mathematical tools, which can become a practical tool for decision-makers on the functioning and strategic development of business ecosystems and their components depending on changes in the internal, micro- and macroenvironment. An algorithm for finding linearly independent elements of digital business ecosystems and a new option for interpreting their results are developed. It is proposed that this impact be determined by calculating the eigenvectors of the matrix and identifying the dependence through the contribution of the eigenvectors to the overall mechanism of the system. A system analysis of the properties of business ecosystems is carried out with a subsequent description of the methodology for studying the impact of financial indicators on it. As an example of data for calculation, the article uses Yandex data for 2023, as the most indicative business ecosystem with all the necessary properties. The results of the study allow formulating recommendations for top management on making management decisions and points of application of efforts. Combining the developed methodology with promising technologies for automated calculation of big data and AI will provide a flexible management tool with the possibility of its further development.https://www.mdpi.com/2227-7390/13/7/1161matrices of unlimited sizelinearly independent elementsvector analysisbusiness ecosystemecosystem propertiesdecision-making
spellingShingle Vitaly Viktorovich Kuzin
Oksana Yurievna Kirillova
Leonid Alexandrovich Zhigun
Alla Vavilina
Development of the Methodology and Mathematical Tools for Strategic Decision-Making Process Modeling of the Digital Business Ecosystem
Mathematics
matrices of unlimited size
linearly independent elements
vector analysis
business ecosystem
ecosystem properties
decision-making
title Development of the Methodology and Mathematical Tools for Strategic Decision-Making Process Modeling of the Digital Business Ecosystem
title_full Development of the Methodology and Mathematical Tools for Strategic Decision-Making Process Modeling of the Digital Business Ecosystem
title_fullStr Development of the Methodology and Mathematical Tools for Strategic Decision-Making Process Modeling of the Digital Business Ecosystem
title_full_unstemmed Development of the Methodology and Mathematical Tools for Strategic Decision-Making Process Modeling of the Digital Business Ecosystem
title_short Development of the Methodology and Mathematical Tools for Strategic Decision-Making Process Modeling of the Digital Business Ecosystem
title_sort development of the methodology and mathematical tools for strategic decision making process modeling of the digital business ecosystem
topic matrices of unlimited size
linearly independent elements
vector analysis
business ecosystem
ecosystem properties
decision-making
url https://www.mdpi.com/2227-7390/13/7/1161
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AT leonidalexandrovichzhigun developmentofthemethodologyandmathematicaltoolsforstrategicdecisionmakingprocessmodelingofthedigitalbusinessecosystem
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