Hesitancy Fuzzy Graphs

T. Pathinathan; J. Jon Arockiaraj; J. Jesintha Rosline

doi:10.17485/ijst/2015/v8i35/125483

Hesitancy Fuzzy Graphs

T. Pathinathan ¹, J. Jon Arockiaraj ², J. Jesintha Rosline ³

Affiliations
1 Department of Mathematics, Loyola College, Chennai - 600034, Tamil Nadu, India
2 Department of Mathematics, St. Joseph’s College of Arts and Science, Cuddalore - 607001, Tamil Nadu, India
3 Department of Mathematics, SRM University, Chennai - 603203, Tamil Nadu, India

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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 ischolar_mains 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.