Table 2.

Applications of Fuzzy Graph Theory Across Different Domains.

Domain	Applications	Benefits
Healthcare 1	Medical diagnosis Treatment planning Patient monitoring Resource allocation	Handles uncertain patient data Models complex relationships between symptoms Improves decision-making accuracy
Network security 11	Access control Intrusion detection Risk assessment Threat modeling	Captures of varying security levels Models attack patterns Enables adaptive protection
Transportation 23	Traffic flow analysis Route optimization Congestion management Signal control	Models variable traffic conditions Optimizes traffic flow Reduces congestion
Social networks 8	Community detection Influence analysis Relationship modeling Behavior prediction	Represents relationship strengths Models social interactions Enables pattern detection
Decision support 24	Resource allocation Risk analysis Performance evaluation Strategy planning	Handles uncertainty Enables multi-criteria analysis Supports complex decisions