| Title of paper:
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Regularity and duality of intuitionistic fuzzy k-partite hypergraphs
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| Author(s):
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| K. K. Myithili
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| Department of Mathematics (CA), Vellalar College for Women, Erode-638012, Tamilnadu, India
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| mathsmyth@gmail.com
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| R. Keerthika
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| Department of Mathematics, Vellalar College for Women, Erode-638012, Tamilnadu, India
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| keerthibaskar18@gmail.com
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| Presented at:
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Proceedings of the International Workshop on Intuitionistic Fuzzy Sets, 15 December 2023, Banská Bystrica, Slovakia
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 4, pages 401–410
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| DOI:
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https://doi.org/10.7546/nifs.2023.29.4.401-410
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| Download:
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 PDF (340 Kb, Info)
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| Abstract:
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A graph in which the edge can connect more than two vertices is called a Hypergraph. A k-partite hypergraph is a hypergraph whose vertices can be split into k different independent sets. In this paper, regular, totally regular, totally irregular, totally neighborly irregular Intuitionistic Fuzzy k-Partite Hypergraphs (IFk-PHGs) are defined. Also order and size along with the properties of regular and totally regular IFk-PHGs are discussed. It has been proved that the size [math]\displaystyle{ S(\mathscr{H}) }[/math] of a r-regular IFk-PHG is [math]\displaystyle{ \frac{tr}{2} }[/math] where [math]\displaystyle{ t=\left|V\right| }[/math]. The dual IFk-PHG has also been defined with example.
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| Keywords:
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Total degree, Regular IFk-PHG, Totally regular IFk-PHG, Totally irregular IFk-PHG, Totally neighborly irregular IFk-PHG, Dual IFk-PHG.
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| AMS Classification:
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05C65.
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| References:
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