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Issue:An application of intuitionistic fuzzy directed hypergraph in molecular structure representation

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Title of paper: An application of intuitionistic fuzzy directed hypergraph in molecular structure representation
Author(s):
R. Parvathi
Department of Mathematics, Vellalar College for Women (Autonomous), Erode - 638 012, TN, India
paarvathis@rediffmail.com
C. Yuvapriya
Department of Mathematics, Vellalar College for Women (Autonomous), Erode - 638 012, TN, India
yuvapriya.c@gmail.com
N. Maragatham
Department of Nutrition & Dietetics, Vellalar College for Women (Autonomous), Erode - 638 012, TN, India
sahanajansi@gmail.com
Presented at: 21st International Conference on Intuitionistic Fuzzy Sets, 22–23 May 2017, Burgas, Bulgaria
Published in: "Notes on IFS", Volume 23, 2017, Number 2, pages 69—78
Download:  PDF (157 Kb  Kb, Info)
Abstract: In this paper, essentially intersecting, essentially strongly intersecting, skeleton intersecting, non-trivial, sequentially simple and essentially sequentially simple Intuitionistic Fuzzy Directed Hypergraphs (IFDHGs) are defined. Also, it has been proved that if IFDHG H is ordered and essentially intersecting, then [math]\displaystyle{ _{\chi}(H) \geq 3 }[/math]. An IFDHG H is strongly intersecting if and only if [math]\displaystyle{ H^{\langle r_i, s_i\rangle} }[/math] is intersecting for every [math]\displaystyle{ \langle r_i, s_i\rangle \in F(H) }[/math] is proven and an application of IFDHG in molecular structure representation is also given.
Keywords: Intuitionistic fuzzy directed hypergraph (IFDHG), Essentially intersecting IFDHG, Molecular IFDHG of water.
AMS Classification: 05C72, 05C65, 47N60.
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