Transversal Core of Intuitionistic Fuzzy k-Partite Hypergraphs

Authors

  • K.K Myithili Department of Mathematics(CA),Vellalar College for Women, Erode- 638012, Tamilnadu,
  • R Keerthika Department of Mathematics, Vellalar College forWomen, Erode-638012, Tamilnadu,

DOI:

https://doi.org/10.23755/rm.v46i0.1076

Keywords:

IFT, minimal IFT, locally minimal IFT, IFTC of IFk- PHG.

Abstract

In graph theory, a transversal is a set of vertices incident to every edge
in a graph but in Intuitionistic Fuzzy k-Partite Hypergraph(IFk-PHG),
the transversal is a hyperedge which cuts every hyperedges. In this
article, Intuitionistic Fuzzy Transversal(IFT), minimal IFT, locally
minimal IFT, IFTC(Intuitionistic Fuzzy Transversal Core) of IFk-
PHG has been defined. It has been proved that every IFk-PHG has
a nonempty IFT. Also few of the properties relating to the transversal
of IFk-PHG were discussed.

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Published

2023-03-20

Issue

Vol. 46 (2023): Special Issue: Advance of Mathematics in Science and Engineering

Section

Volume 46-2023

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