| Title of paper:
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An application of intuitionistic fuzzy directed hypergraph in molecular structure representation
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| Author(s):
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| R. Parvathi
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| Department of Mathematics, Vellalar College for Women (Autonomous), Erode - 638 012, TN, India
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| paarvathis@rediffmail.com
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| C. Yuvapriya
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| Department of Mathematics, Vellalar College for Women (Autonomous), Erode - 638 012, TN, India
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| yuvapriya.c@gmail.com
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| N. Maragatham
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| Department of Nutrition & Dietetics, Vellalar College for Women (Autonomous), Erode - 638 012, TN, India
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| sahanajansi@gmail.com
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| Presented at:
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21st International Conference on Intuitionistic Fuzzy Sets, 22–23 May 2017, Burgas, Bulgaria
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| Published in:
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"Notes on IFS", Volume 23, 2017, Number 2, pages 69—78
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| Download:
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 PDF (157 Kb Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic fuzzy directed hypergraph (IFDHG), Essentially intersecting IFDHG, Molecular IFDHG of water.
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| AMS Classification:
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05C72, 05C65, 47N60.
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| References:
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