| 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 Intuitionistic Fuzzy Sets", 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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- Konstantinova E. V., & Skorobogatov V. A. (2001). Application of hypergraph theory in chemistry, Discrete Mathematics, 235, 365–383.
- Mordeson, J. N., & Nair, S. (2000). Fuzzy Graphs and Fuzzy Hypergraphs, Physica-Verlag, New York.
- Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Berlin.
- Shannon, A. & Atanassov, K. (1994). A first step to a theory of the intuitionistic fuzzy graphs, Proc. of the First Workshop on Fuzzy Based Expert Systems (D. Lakov, Ed.), Sofia, 28–30 Sept. 1994, 59–61.
- Myithili, K. K. & Parvathi, R. (2014). Certain types of intuitionistic fuzzy directed hypergraphs, International Journal of Machine Learning and Cybernetics, 7(2), 1–9.
- Myithili, K. K. & Parvathi, R. (2016). Chromatic values of Intuitionistic Fuzzy Directed Hypergraph Colorings, Int. J. of Soft Computing and Engineering, 6(1), 32–37.
- Myithili, K. K., & Parvathi, R. (2016). Coloring of intuitionistic fuzzy directed hypergraphs, International Journal of Computer Application, 6(3), 159–166.
- Goetschel, R., Jr. (1995). Introduction of fuzzy hypergraphs and Hebbian structures, Fuzzy Sets and Systems, 76, 113– 130.
- Parvathi, R., Thilagavathi, S. & Karunambigai, M. G. (2009). Intuitionistic fuzzy hypergraphs, Cybernetics and Information Technologies, 9(2), 46–53.
- Parvathi, R., & Thilagavathi, S. (2013). Intuitionistic fuzzy directed hypergraphs, Advances in Fuzzy Sets and Systems, 14(1), 39–52.
- Bretto, A. (2013). Hypergraph Theory, Mathematical Engineering, Springer International Publishing Switzerland.
- Radhika, C., & Parvathi, R. (2016). Intuitionistic fuzzification functions, Global Journal of Pure and Applied Mathematics, 12(2), 1211–1227.
- http://www.insula.com.au/physics/1279/L10.html Retrieved on 15.11.2016.
- Chemical bond. (2016, Oct 14). In Wikipedia. Retrieved on Nov 15, 2016, from https://en.wikipedia.org/w/index.php?title=Chemical_bond&oldid=744264759.
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