Methodology for building the basic metrics of Q-analysis and their application

Authors

  • Viktoriia I. Polutsyhanova The Department of Information Security of the Institute of Physics and Technology of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine https://orcid.org/0000-0002-9729-5786
  • Sergey A. Smirnov The Department of Information Security of the Institute of Physics and Technology of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine https://orcid.org/0000-0003-4190-5204

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2019.3.07

Keywords:

system, structure, complexity, Q-analysis

Abstract

The study of complex systems requires the use of various methods, which should provide useful information to ensure effective management. Using Q-analysis makes it possible to delve into the structure of the system and understand the complex relationship between its components. In the course of the study, concepts such as a structural tree, local maps, and the inheritance hierarchy were introduced, which make it possible to better understand the meaning of the system metrics obtained by Q-analysis. Then, on this basis, algorithms were developed to determine the basic metrics. They were applied to the banking system of Ukraine as of 2016. An interpretation of the results is proposed and their practical significance is described.

Author Biographies

Viktoriia I. Polutsyhanova, The Department of Information Security of the Institute of Physics and Technology of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv

Victoriia Polutsyhanova,

Master's degree, a Ph.D. student and an assistant at the Department of Information Security of the Institute of Physics and Technology of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine.

 

Sergey A. Smirnov, The Department of Information Security of the Institute of Physics and Technology of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv

Sergii Anatoliyovych Smirnov,

Research fellow, Candidate of Physical and Mathematical Sciences (Ph.D.), an associate professor at the Department of Information Security of the Institute of Physics and Technology of the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Kyiv, Ukraine.

References

Atkin R.H. Combinatorial Connectivies in Social Systems. An Application of Simplicial Complex Structures to the Study of Large Organisations, Interdisciplinary Systems Research / R.H. Atkin. — 1997.

Bereza O.A. Sipmplitsial'nij analiz kognitivnyh kart sotsial'no-ekonomicheskih sistem / O.A. Bereza // Informatsionnye tehnologii v upravlenii. — 2011. — № 11. — S. 151–161.

R. Beaumont J. An introduction to Q-analysis / R. Beaumont J., C. Gatrell A. — 1982. — 134 p.

Maletic S.V. Simplicial complexes and complex networks: the influence of higher-order (sub)structures on network properties: doctoral dissertation / S.V. Maletic. — Belgrade, 2013. — 65 p.

Avdeeva Z. Cognitive Approach in Simulation and Control / Z. Avdeeva, S. Kovriga // Plenary papers, Milestone reports & Selected survey papers. 17th IFAC World Congress, Seoul, Korea, July 2008. — P. 160–167.

Atkin R.H. Mathematical structure in human affairs / R.H. Atkin. — London: Heinemann Educational Books, 1973. — 143 p.

Duckstein L. Q-analysis for modeling and decision making / L. Duckstein, S.A. Nobe // European Journal of Operational Research. — 1997. — N 103(3). — P. 411–425.

Medvedenko V.I. Vykorystannja alhorytmiv q-analizu na prykladi bankivs'koyi systemy / V.I. Medvedenko, S.A. Smyrnov. — K.: VPI VPK "Politekhnika", 2018. — № 156. — S. 33–36.

Floyd–Warshall algorithm // Wikipedia. — Available at: https://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm – 20.04.2018.

Medvedenko V.I. Vykorystannja q-analizu dlja doslidzhennja zv’jazkiv u bankivs'kykh systemakh / V.I. Medvedenko, S.A. Smyrnov. — Kyyiv: VPI VPK "Politekhnika", 2017. — № 15. — S. 44–46.

Published

2019-10-07

Issue

Section

Methods of optimization, optimum control and theory of games