Energy of Vague Fuzzy Graph Structure and Its Application in Decision Making

Vague graphs (VGs), belonging to the fuzzy (FGs) family, have good capabilities when faced with problems that cannot be expressed by FGs. The notion of a VG is new mathematical attitude model ambiguity and uncertainty in decision-making issues. A vague graph structure (VFGS) generalization VG. It powerful useful tool find influential person various relations. VFGSs can deal associated inconsistent indeterminate information any real-world where may fail reveal satisfactory results. Moreover, VGSs are very tools for study different domains computer science such as networking, social systems, other issues bioscience medical science. subject energy theory one most attractive topics important biological chemical sciences. Hence, this work, we extend VFGS also use concept modeling related VFGS. Actually, our purpose develop investigate Laplacian (LE) on graph. We define adjacency matrix (AM) concept, energy, LE Finally, present three applications problems.