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KIAM Preprint № 73, Moscow, 2021
Authors: Rykov Y.G.
The technology of using fuzzy cognitive maps from a mathematical point of view
Abstract:
A broader view of the technology of fuzzy cognitive maps is described, in which the cognitive map is considered as a carrier of computational procedures. This approach can be described as a generalized system dynamics. This interpretation makes it easier to obtain theoretical results that can characterize the behavior of complex systems. In particular, in the case of simple computational procedures, the relationship between the degree of influence of factors and the structure of the system, namely, the presence of connecting paths and cycles in the corresponding digraph, is clarified.
Keywords:
complex system, cognitive simulation, weighted digraph, additive convolution, graph partitioning by cycles, paths in a graph
Publication language: russian,  pages: 22
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Rykov Yuri Germanovich,  rykov@keldysh.ru; yu-rykov@yandex.ruorcid.org/0000-0003-1695-6202KIAM RAS