Abstract
Objectives: To remove the hesitation that appears in choosing membership degree of an element from some possible values. Methods: Through Intuitionistic Fuzzy Graph and Intuitionistic Double Layered Fuzzy Graph, we developed a new graph to represent the hesitancy degree. Findings: Further we have proved some theoretical concepts and principle properties which have the roots from Double Layered Fuzzy Graph and Intuitionistic Double layered Fuzzy Graph. Conclusion: In this paper,a new fuzzy graph called Hesitancy Fuzzy Graphs (HFGs) is introduced.
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