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, nontrivial, 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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