Hesitancy Fuzzy Graphs

T  Pathinathan; J  Jon Arockiaraj  and J  Jesintha Rosline

doi:10.17485/ijst/2015/v8i35/86672

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i35/86672

Year: 2015, Volume: 8, Issue: 35, Pages: 1-5

Original Article

Hesitancy Fuzzy Graphs

T. Pathinathan^1*, J. Jon Arockiaraj² and J. Jesintha Rosline³

¹Department 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]

This work is licensed under a Creative Commons Attribution 4.0 International License.

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.
Keywords: Hesitancy Fuzzy Graphs (HFGs), Intuitionistic Double Layered Fuzzy Graphs (IDLFGs)