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News Academy of Engineering Sciences A.M. Prokhorov

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The analysis of complex systems structures based on the coefficient of emergence
А.V. Yakovlev D.V. Polyakov

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: yava73@bk.ru

Pp. 60-67.

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