Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON BETA PRODUCT OF HESITANCY FUZZY GRAPHS AND INTUITIONISTIC HESITANCY FUZZY GRAPHS

  • Sunil M.P. (PG and Research Department of Mathematics, N.S.S. Hindu College) ;
  • J. Suresh Kumar (PG and Research Department of Mathematics, N.S.S. Hindu College)
  • Received : 2023.04.10
  • Accepted : 2023.10.12
  • Published : 2023.12.30
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Abstract

The degree of hesitancy of a vertex in a hesitancy fuzzy graph depends on the degree of membership and non-membership of the vertex. We define a new class of hesitancy fuzzy graph, the intuitionistic hesitancy fuzzy graph in which the degree of hesitancy of a vertex is independent of the degree of its membership and non-membership. We introduce the idea of β-product of a pair of hesitancy fuzzy graphs and intuitionistic hesitancy fuzzy graphs and prove certain results based on this product.

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References

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