A study on vague-valued hesitant fuzzy graph with application

The hesitant fuzzy graph (HFG) is one of the most powerful tools to find strongest influential person in a network. Many problems practical interest can be modeled and solved by using HFG algorithms. HFGs, belonging FG family, have good capabilities when faced with that cannot expressed FGs. vague-valued (VVHFG) generalization HFG. A VVHFG useful tool various parts, such as meetings, conferences, every group discussion. In this study, we introduce new concept VVHFG. Our purpose develop notion also present some basic definitions, notations, remarks, proofs related VVHFGs. We propose numerical method dominating our proposed work. Finally, an application decision-making has been introduced.