Indian Journal of Science and Technology
Year: 2015, Volume: 8, Issue: 35, Pages: 1-5
T. Pathinathan1*, J. Jon Arockiaraj2 and J. Jesintha Rosline3
1 Department of Mathematics, Loyola College, Chennai - 600034, Tamil Nadu, India; [email protected]
2 Department of Mathematics, St. Joseph’s College of Arts and Science, Cuddalore - 607001, Tamil Nadu, India; [email protected]
3 Department of Mathematics, SRM University, Chennai - 603203, Tamil Nadu, India; [email protected]
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.
Keywords: Hesitancy Fuzzy Graphs (HFGs), Intuitionistic Double Layered Fuzzy Graphs (IDLFGs)
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