Determining Strong Connectivity Method of Periodic Fuzzy Graph for Decision Analysis in Emergency Situations
Alexander Vitalievich Bozhenyuk, Sergey I. Rodzin, Никашина Полина Олеговна · 2025
This paper considers the problem of analysing the evacuation territory in the case where the model of this territory can be represented by a periodic fuzzy graph. For this purpose, the paper introduces the concept of a fuzzy set of strong connectivity of a periodic fuzzy graph, that is, a graph in which elements (vertices) are in fuzzy relationships. Moreover, these relations change in discrete time and have the property of periodicity. We propose a method for finding a strongly connected fuzzy set. An example of finding it is considered. A strongly connected fuzzy set can serve as a basis for choosing a movement strategy during evacuation, when the territory model is represented by a periodic fuzzy graph.