Ma Junye, Shen Lijing, Li Lin
School of Applied Science, Taiyuan University of Science and Technology, Taiyuan, 030024, People's Republic of China.
School of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan, 030024, People's Republic of China.
Sci Rep. 2024 Jul 4;14(1):15403. doi: 10.1038/s41598-024-66274-9.
Cut vertices and cut edges are valuable for analyzing connectivity problems in classical graph theory. However, they cannot deal with certain fuzzy problems. In order to solve this problem, this paper introduces the definitions of fuzzy strong cut vertices and fuzzy strong cut edges, and characterizes fuzzy strong cut vertices and fuzzy strong cut edges in fuzzy trees, complete fuzzy graphs, and fuzzy cycles. Finally, practical applications verify the effectiveness of the theory in network stability analysis.
割点和割边对于分析经典图论中的连通性问题很有价值。然而，它们无法处理某些模糊问题。为了解决这个问题，本文引入了模糊强割点和模糊强割边的定义，并刻画了模糊树、完全模糊图和模糊圈中的模糊强割点和模糊强割边。最后，实际应用验证了该理论在网络稳定性分析中的有效性。
