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Global Network Structures and Problems of Aggregated Evaluation

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This article covers the problem of processing of Big Data that describe process of complex networks and network systems operation. It also introduces the notion of hierarchical network systems combination into associations and conglomerates alongside with complex networks combination into multiplexes. The analysis is provided for methods of global network structures study depending on the purpose of the research. Also the main types of information flows in complex hierarchical network systems being the basic components of associations and conglomerates are covered. The main approaches for the formation of generalized conclusions about operation quality of complex hierarchical network systems are analyzed. Advantages and drawbacks of the “weakest” element method and a weighted linear aggregation method are determined. Nonlinear aggregation method is proposed for evaluating the quality of the system, which consists of elements of the same priority. Hybrid approaches to form generalized conclusions are developed based on the main aggregation methods. It is shown that they allow to obtain more reliable aggregation results.


International Frontier Science Letters (Volume 8)
D. Polishchuk and O. Polishchuk, "Global Network Structures and Problems of Aggregated Evaluation", International Frontier Science Letters, Vol. 8, pp. 31-45, 2016
Online since:
June 2016

[1] D. Polishchuk, O. Polishchuk, M. Yadzhak, Complex evaluation of hierarchically-network systems, Automatic Control and Information Sciences. 2 (2014) 32-44.

[2] H. Neng Chiu, The integrated logistics management system: a framework and case study, International Journal of Physical Distribution & Logistics Management. 25 (1995) 4-22.


[3] T. Berners-Lee et all, World-Wide Web: the information universe, Internet Research. 20: 4 (2010) 461-471.

[4] G.A. Marsan, N. Bellomo, M. Egidi, Towards a mathematical theory of complex socio-economical systems by functional subsystems representation, Kinetic and Related Models. 1: 2 (2008) 249-278.


[5] R.G. Rajan, L. Zingales, Financial systems, industrial structure, and growth, Oxford review of economic Policy. 17: 4 (2001) 467-482.

[6] A.J. Scott, M. Storper, Regions, globalization, development, Regional studies. 41: S1 (2001) 191-205.

[7] O. Polishchuk, D. Polishchuk, M. Tyutyunnyk, M. Yadzhak, Issues of regional development and evaluation problems, AASCIT Communications. 2: 3 (2015) 115-120.

[8] S. Buldyrev et all, Catastrophic cascade of failures in interdependent networks, Nature. 464: 15 92010) 1025–1028.

[9] S.R. Weart, Nuclear fear: A history of images, Harvard University Press, (2009).

[10] D.S. Blanchard, W.J. Fabrycky, Systems engineering and analysis (Vol. 4), Englewood Cliffs, New Jersey, Prentice Hall, (1990).

[11] R. Isermann, Fault-diagnosis applications: model-based condition monitoring: actuators, drives, machinery, plants, sensors, and fault-tolerant systems, Springer Science & Business Media, New York, (2011).

[12] D. Hinrichsen, A.J. Pritchard, Mathematical Systems Theory, Springer, New York, (2005).

[13] S. Boccatti et all, Complex networks: structure and dynamics, Physics Reports. 424 (2006) 175-308.

[14] N.P. Buslenko, Modelling of complex systems, Nauka, Moscow, (1978).

[15] J.T. Allison, Complex system optimization: A review of analytical target cascading, collaborative optimization, and other formulations, Doctoral dissertation, The University of Michigan, (2004).

[16] S. Boccaletti et all, Structure and Dynamics of Multilayer Networks, Physics Reports. 544: 1 (2014) 1-122.

[17] O. Polishchuk, D. Polishchuk, Monitoring of flow in transport networks with partially ordered motion, ХХІІІ Conf. Carpenko physics and mechanics institute, NASU, 2013, 326-329.

[18] C.L. Owen, Evaluation of complex systems, Designe Studies. 28: 1 (2007) 73–101.

[19] L. Norros, P. Saviola, Usability evaluation of complex systems, STUK, Helsinki, (2004).

[20] Y. Bar-Yam, About Engineering Complex Systems: Multiscale Analysis and Evolutionary Engineering, Engineering Self-Organising Systems: Methodologies and Applications, Springer, London, (2005).


[21] D. Polishchuk, Polishchuk O., About evaluation of complex dynamical systems, Journal of Complex Systems. 2013, Article ID 204304, 6 p.: Available: http: /dx. doi. org/ 10. 1155/2013/ 204304.


[22] D. Polishchuk, O. Polishchuk, M. Yadzhak, Comparison of methods of complex system evaluation, Information Extraction and Processing. 32: 108 (2010) 110-118.

[23] V.A. Arnold, Catastrophe theory, Springer-Verlag, Berlin, (1992).

[24] J. Dombi, Basic concepts for a theory of evaluation: the aggregative operator, European Journal of Operational Research. 10: 3 (1982) 282–293.


[25] A. Wittmuss, Scalarizing multiobjective optimization problems, Mathematical Researches. 27 (1985) 255–258.

[26] O. Polishchuk, Optimization of function quality of complex dynamical systems, Journal of Automation and Information Sciences. 4 (2004) 39-44.

[27] O. Polishchuk, Optimization of evaluation of man, s musculo-sceletal system, Computing Mathematics. 2 (2001) 360-367.

[28] O. Polishchuk, Choice of optimal regimes for functioning of complex dynamical systems, Mathematical Methods and Physicomechanical Fields. 48: 3 (2005) 62-67.

[29] O. Polishchuk, About the choice of the optimal dynamical system from the class of equivalent systems, Information Extraction and Processing. 20: 96 (2004) 23-28.

[30] D. Polishchuk, O. Polishchuk, M. Yadzhak, Complex deterministic evaluation of hierarchically-network systems: II. Local and forecasting evaluation, System Research and Information Technologies. 2 (2015) 26-38.


[31] A. -L. Barabási, J. Frangos, Linked: the new science of networks science of networks, Basic Books, (2014).

[32] S. Bornholdt, H.G. Schuster, Handbook of Graphs and Networks: From the Genome to the Internet, Jon Wiley & Sons, (2006).

[33] S.N. Dorogovtsev, J.F.F. Mendes, Evolution of Networks: From Biological Nets to the Internet and WWW, Oxford University Press, (2013).

[34] M. Newman, A. -L. Barabasi, D.J. Watts, The structure and dynamics of networks, Princeton University Press, (2006).

[35] F. Babak, M. Naghmeh, Growing Multiplex Networks with Arbitrary Number of Layers, arXiv: 1506. 06278v1 [physics. soc-ph], 20 Jun (2015).

[36] D. Polishchuk, O. Polishchuk, M. Yadzhak, Complex deterministic evaluation of hierarchically-network systems: I. Methods description", System Research and Information Technologies. 1 (2015) 21-31.


[37] V. Mayer-Schönberger, C. Kenneth, Big data: A revolution that will transform how we live, work, and think, Houghton Mifflin Harcourt, (2013).


[38] UNESCO Statistical Year-book, (1995).

[39] D. Polishchuk, Evaluation of ukrainian railway equipment condition, Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport. 41 (2012) 203-211.

[40] D. Polishchuk, O. Polishchuk, M. Yadzhak, Complex deterministic evaluation of hierarchically-network systems: III. Aggregated evaluation", System Research and Information Technologies. 4 (2015) 20-31.


[41] B.W. Lichtberger, Kostensenkung durch qualitatsvorrat in der fahrweginstandhaltung, Der Eisenbahningenieur. 50: 1 (1999) 39–42.

[42] D. Polishchuk, O. Polishchuk, M. Yadzhak, Complex deterministic evaluation of hierarchically-network systems: IV. Interactive evaluation", System Research and Information Technologies. 1 (2016) 7-16.


[43] O. Polishchuk, Solution of bilateral Dirichlet and Neuman problems for the Laplacian in R3 for tired surface by means of potential theory methods, Applied problems of mechanics and mathematics. 2 (2004) 80-87.

[44] A.D. Polishchuk, About convergence the methods of projections for solution potential theory integral equation, Computer centre of Siberian Division of AS of the USSR, Preprint 776, (1988).

[45] I.N. Bronshtein, K.A. Semendyaev, Handbook of mathematics for engineers and students of technical colleges, Nauka, Moscow, (1986).

[46] D. Strimling, Multi-Criteria Analysis in the Renewable Energy Industry(Green Energy and Technology), Interfaces. 43: 2 (2013) 201-202.

[47] D. Polishchuk, O. Polishchuk, M. Yadzhak, Solution of some problems of evaluation of the complex systems, 15th International Conference on Automatic Control, Odesa, Ukraine, 2008, 968-976.

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