Providing security for complex systems based on influence detection in graph models

Abstract: The article offers new mathematical methods for detecting the influence of negative factors on the security of complex systems. The system's functioning model is an oriented weighted sign graph with cause-and-effect relationships at the edges, called a fuzzy cognitive map. An effective control algorithm is used to identify impacts in the cognitive Graph model. As a result of using the influence detection method, sets of components of the influence vector and the impact vector with the required level of efficiency are formed. To verify the reliability of the results obtained, a validation procedure is proposed.

Keywords: directional weighted graphs, fuzzy cognitive maps, influence detection, effective control algorithm