ON THE USE OF SIMILARITY THEORY TO ASSESS THE DYNAMICS OF CLUSTERS OF SUBJECTS OF INTEREST ON THE GROUND

  • V.К. Abrosimov The Main Research and Testing Interspecific Advanced Weapons Center of the Ministry of Defense of the Russian Federation
  • S.М. Lapin The Main Research and Testing Interspecific Advanced Weapons Center of the Ministry of Defense of the Russian Federation
Keywords: Resemblance, similarity, affinity, measure, cluster, identification, object, dynamics, index, coefficient

Abstract

The experience of modern combat operations has initiated the high relevance of the tasks of airdelivered
assessing the dynamics of changes in time characteristics of groups (clusters) of objects of
interest on the ground. The active development of unmanned aviation, including within groups, provides
new opportunities for periodic monitoring of the area with the solution of problems of detection and
recognition of clusters of objects of interest in dynamics. The article analyses the possibility of using the
theory of resemblance to solve the problems of assessing the similarity of types of weapons, military and
special equipment by the nature of distribution in various clusters, including in various geographical
conditions. It is shown that the dynamics of objects can be established by regular monitoring of the terrain
with the estimation of various measures of similarity and difference for clusters. At the same time,
the applicability of well-established statistical methods of biodiversity research developed in biology to
assess the diversity of population, their complexity, similarity, relationships, etc. is proved. The characteristics
of the species diversity of the most important deterministic clusters of troops and equipment of
NATO countries are given. The efficiency of the proposed approach demonstrated by the example of
aerial reconnaissance of a conditional area with recognition of the dynamics of five types of clusters,
including various types of military personnel, personnel and engineering equipment. General recommendations
for conducting appropriate assessments and decision-making are given.The following basic similarity measurements are recommended for use: Jacquard similarity coefficients to determine the
similarity level of clusters by their constituent types of VVST samples (cars, tanks, guns, armored vehicles,
etc.), the Margalef index to determine the number of types of VVST in the total number of VVST
units in the cluster, the generalized Shannon diversity mass to assess the diversity of species in a cluster,
the Sorensen-Chekanovsky coefficient is used to determine the degree of occurrence of the selected type
of samples in the cluster. It is advisable to use the obtained results in multi-criteria tasks of preflight and
operational planning of group operations of unmanned aerial vehicles in the interests of monitoring the
controlled territory, taking into account the required schedule for obtaining reliable information.

References

1. Bartulović V., Trzun Z., Hoić M. Use of Unmanned Aerial Vehicles in Support of Artillery,
Operations Strategos, 2023, Vol. 7 (1), pp. 71-92.
2. Ozhegov S.I. Tolkovyy slovar' russkogo yazyka [Explanatory dictionary of the Russian language].
Moscow: AST, 2017, 320 p.
3. Perinetti G. Choosing statistical test when dealing with differences, South European Journal of
Orthodontics and Dentofacial Research, 2016, Vol. 3 (1), pp. 4-5. DOI: 10.5937/sejodr3-1264.
4. Eremeev E.A. Matematicheskie metody v faunisticheskikh issledovaniyakh. Metodicheskoe
posobie [Mathematical methods in faunal studies. Toolkit]. Biysk: Biya, 2020, 67 p.
5. Shaykhutdinova A.A. Metody otsenki bioraznoobraziya: metodicheskie ukazaniya [Methods
for assessing biodiversity: guidelines]. Orenburg: OGU, 2019, 37 p.
6. Leont'ev D.V. Floristicheskiy analiz v mikologii: uchebnik dlya studentov vysshikh uchebnykh
zavedeniy [Floristic analysis in mycology: a textbook for students of higher educational institutions].
Khar'kov, 2008, 110 p.
7. Кumphakarm R. Statistical Methods for Biodiversity Assessment: Doctor of Philosophy Thesis.
School of Mathematics, Statistics and Actuarial Science University of Kent, 2016.
Available at: https://kar.kent.ac.uk/60557/1/81thesis.pdf.
8. McCloud G. What are clusters in the military? Available at: https://thegunzone.com/what-areclusters-
in-the-military/.
9. Kabanchenko A.M. Osnovy boevogo primeneniya podrazdeleniy chastey i soedineniy
inostrannykh armiy (na primerakh armiy SShA i FRG): ucheb. posobie [Fundamentals of the
combat use of units of units and formations of foreign armies (using the examples of the US
and German armies): tutorial]. Moscow: MGIMO, 2018, 202 p.
10. Grover N. A study of various Fuzzy Clustering Algorithms, International Journal of Engineering
Research, 2014, Vol. No. 3, Issue No. 3, pp. 177-181.
11. Kadyrov A.L., Vakhobov A.A. Opredelenie mery blizosti zadach upravleniya [Determination of
the measure of proximity of control tasks], Vestnik TGUPBP [Bulletin of TSUPBP], 2009,
No. 4 (40), pp. 86-91.
12. Obukhova N.A. Obnaruzhenie i soprovozhdenie dvizhushchikhsya ob"ektov [Detection and
tracking of moving objects], Informatsionno-upravlyayushchie sistemy [Information and control
systems], 2004, No. 1, pp. 30-37.
13. Kolesnikova S.I. Metody raspoznavaniya sostoyaniy dinamicheskikh sistem [Methods for recognizing
states of dynamic systems], Izvestiya Tomskogo politekhnicheskogo universiteta
[Bulletin of the Tomsk Polytechnic University], 2010, Vol. 316, No. 5, pp. 55-62.
14. Uzdin D.Z. Mery blizosti, funktsii sostoyaniy i reshayushchie pravila v teorii raspoznavaniya
sostoyaniy (statisticheskoy klassifikatsii) [Proximity measures, state functions and decision
rules in the theory of state recognition (statistical classification)]. 2nd ed. Moscow: MAKS
Press, 2016, 126 p.
15. Favorskaya M.V. Modeli i metody raspoznavaniya dinamicheskikh obrazov na osnove
prostranstvenno-vremennogo analiza posledovatel'nostey izobrazheniy: avtoref. diss. … d-ra
tekhn. nauk, 2011 [Models and methods for recognizing dynamic images based on spatiotemporal
analysis of image sequences: abstract dr. eng. sc. diss.]. Available at:
https://www.dissercat.com/content/modeli-i-metody-raspoznavaniya-dinamicheskikh-obrazovna-
osnove-prostranstvenno-vremennogo-a (accessed 2 April 2023).
16. Vasil'ev V.A., Fedyunin P.A., Manin V.A., Vasil'ev A.V. Kontseptual'naya otsenka
razvedyvatel'nogo obespecheniya udarnykh deystviy aviatsii [Conceptual assessment of reconnaissance
support for aviation strike operations], Vozdushno-kosmicheskie sily. Teoriya i
praktika [Aerospace Forces. Theory and practice], 2020, No. 14, pp. 41-53.
17. Verba V.S., Merkulov V.I., Chernov V.S. Informatsionnye sistemy aviatsionnykh kompleksov
takticheskoy vozdushnoy razvedki SShA [Information systems of US tactical air reconnaissance
aircraft], Uspekhi sovremennoy radioelektroniki [Advances in modern radio electronics],
2020, Vol. 74, No. 2, pp. 5-21.
18. Goncharenko V.I., Zheltov S.Yu., Knyaz' G.N., Lebedev D.A., Mikhaylin O.Yu., TSareva O.Yu.
Intellektual'naya sistema planirovaniya gruppovykh deystviy bespilotnykh letatel'nykh apparatov pri
nablyudenii nazemnykh mobil'nykh ob"ektov na zadannoy territorii [Intelligent system for planning
group actions of unmanned aerial vehicles when observing ground mobile objects in a given territory],
Izvestiya Rossiyskoy akademii nauk. Teoriya i sistemy upravleniya [Proceedings of the Russian
Academy of Sciences. Theory and control systems], 2021, No. 3, pp. 39-56.
19. Savinkova S.A. Razrabotka metoda otslezhivaniya peremeshcheniy ob"ektov [Development of
a method for tracking the movement of objects], Vestnik sovremennykh issledovaniy [Bulletin
of modern research], 2021, No. 1-6 (39), pp. 28-36.
20. Zhang J., Shao L., Zhang L., Jones G. Intelligent video event analysis and understanding, Studies
in Computational Intelligence. Berlin, Germany: Springer, 2010, Vol. 332. DOI:
10.1007/978-3-642-17554-1.
21. Abrosimov V.K., Nikonorov V.I. Metodika razmetki dannykh o kompaktnykh skopleniyakh
ob"ektov interesa v zadachakh mashinnogo obucheniya [Methodology for marking data on
compact clusters of objects of interest in machine learning problems], Polet [Polet], 2022, No.
10, pp. 21-28.
22. Mehtap Erguven Influences of Measurement Theory on Statistical Analysis & Stevens’ Scales
of Measurement, Journal of Technical Science and Technologies, 2014, Vol. 2, Issue 1. DOI:
https://doi.org/10.31578/.v2i1.52.
Published
2024-04-15
Section
SECTION I. PROSPECTS FOR THE APPLICATION OF ROBOTIC COMPLEXES