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Instruments and Systems: Monitoring, Control, and Diagnostics

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The analysis of complex systems structuresbased on the coefficient of emergence
Y.Y. GROMOVA.V. YAKOVLEVO.G. IVANOVAA.A. TIKHOMIROVA

It is proposed to use for analysis of complex system topological structure the coefficient of emergence, which will allow to compare
the structures of complex systems with each other. The integrated structure index allows to consider the amount of system’s hierarchy
levels and the amount of system-forming elements at each level and to optimize the structure of system.
The entering of fuzzy characteristics of system-forming vertexes, such as controllability and occupancy norms, allows to state
optimization problems by using the variety of T-norms and T-conorms without changing the system’s fuzzy model.
This algorithm allows to generate all kinds of nonisomorphic topological structures as oriented trees, which have more than two
descendants of nonterminal vertexes.
The analysis of coefficient of emergence allows to trace the tendency of reduction of differences when passing from structures with
fewer hierarchy levels to structures with more hierarchy levels and also the invariance of this coefficient for isomorphic complex
systems structures.
Keywords: topological structure, the coefficient of emergence, system-forming vertex, controllability norm, occupancy norm.

Contacts: E-mail: gromovtambov@yandex.ru

Pp. 06-12.

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