Fuzzy Semi-Directed Graphs: A Novel Approach for Modeling Complex Networks
Year: 2025
Type: article
Abstract: Complex networks, permeating various domains, exhibit nonlinear dynamics, uncertain relationships, and complex interactions. Traditional graph theory representations are insufficient for capturing these intricacies. To address this, we introduce fuzzy semi-directed graphs, integrating fuzzy logic into semi-directed graphs. This novel approach enables the modeling of uncertain relationships, directed and undirected interactions, and complex dynamics. We establish mathematical foundations, propose new terminologies, and develop a centrality measure, fuzzy incidence centrality. This framework provides a comprehensive tool for analyzing complex networks, unveiling insights into node centrality and community structure. Applications in railway networks, road networks and telecommunication networks demonstrate the potential of fuzzy semi-directed graphs in understanding and optimizing complex systems.
Authors: S. Yoga, S. Selvapriya, K. Maheshwari, L. Mariya Varshini
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W6893414714
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