An Introduction to Bipolar Single Valued Neutrosophic Graph Theory

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In this paper, we first define the concept of bipolar single neutrosophic graphs as the generalization of bipolar fuzzy graphs, N-graphs, intuitionistic fuzzy graph, single valued neutrosophic graphs and bipolar intuitionistic fuzzy graphs.

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184-191

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June 2016

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[1] D. Ezhilmaran & K. Sankar: Morphism of bipolar intuitionistic fuzzy graphs, in: Journal of Discrete Mathematical Sciences and Cryptography, 18: 5, 605-621 (2015), DOI: 10. 1080/ 09720529. 2015. 1013673.

DOI: 10.1080/09720529.2015.1013673

Google Scholar

[2] F. Smarandache: Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies, in: Neutrosophic Sets and Systems, Vol. 9, 58-69 (2015).

Google Scholar

[3] F. Smarandache: Neutrosophic set - a generalization of the intuitionistic fuzzy set, Granular Computing, 2006 IEEE International Conference, 38 – 42 (2006), DOI: 10. 1109/GRC. 2006. 1635754.

DOI: 10.1109/grc.2006.1635754

Google Scholar

[4] F. Smarandache: Types of Neutrosophic Graphs and Neutrosophic Algebraic Structures together with their Applications in Technology, seminar, Universitatea Transilvania din Brasov, Facultatea de Design de Produs si Mediu, Brasov, Romania 06 June (2015).

DOI: 10.31926/but.mif.2019.12.61.1.10

Google Scholar

[5] F. Smarandache: Symbolic Neutrosophic Theory (Europanova asbl, Brussels, 195 p., Belgium 2015).

Google Scholar

[6] H. Wang, F. Smarandache, Y. Zhang, and R. Sunderraman: Single valued Neutrosophic Sets, in: Multispace and Multistructure 4, 410-413 (2010).

Google Scholar

[7] I. Deli, M. Ali, F. Smarandache: Bipolar neutrosophic sets and their application based on multi-criteria decision making problems, in: Advanced Mechatronic Systems (ICAMechS), 249- 254 (2015), DOI: 10. 1109/ICAMechS. 2015. 7287068.

DOI: 10.1109/icamechs.2015.7287068

Google Scholar

[8] K. Atanassov: Intuitionistic fuzzy sets, in: Fuzzy Sets and Systems, vol. 20, 87-96 (1986).

DOI: 10.1016/s0165-0114(86)80034-3

Google Scholar

[9] L. Zadeh: Fuzzy sets, in: Inform and Control, 8, 338-353 (1965).

Google Scholar

[10] M. Akram and B. Davvaz: Strong intuitionistic fuzzy graphs, in: Filomat, vol. 26, no. 1, 177–196 (2012).

DOI: 10.2298/fil1201177a

Google Scholar

[11] M. Akram: Bipolar fuzzy graphs, in: Information Sciences, vol. 181, no. 24, 5548–5564 (2011).

DOI: 10.1016/j.ins.2011.07.037

Google Scholar

[12] M. Akram: Bipolar fuzzy graphs with applications, in: Knowledge Based Systems, vol. 39, 1–8 (2013).

Google Scholar

[13] M. Akram, K. H. Dar: On N- graphs, in: Southeast Asian Bulletin of Mathematics (2012).

Google Scholar

[14] M. Akram, W. A. Dudek: Regular bipolar fuzzy graphs, in: Neural Computing and Applications, Vol 21, 197-205 (2012).

DOI: 10.1007/s00521-011-0772-6

Google Scholar

[15] P. Bhattacharya: Some remarks on fuzzy graphs, in: Pattern Recognition Letters 6: 297-302 (1987).

DOI: 10.1016/0167-8655(87)90012-2

Google Scholar

[16] R. Parvathi and M. G. Karunambigai: Intuitionistic Fuzzy Graphs, Computational Intelligence, Theory and applications, International Conference in Germany, Sept 18-20 (2006).

DOI: 10.1007/3-540-34783-6_15

Google Scholar

[17] S. Broumi, M. Talea, F. Smarandache: Single Valued Neutrosophic Graphs: Degree, Order and Size, (2016) submitted.

DOI: 10.1109/fuzz-ieee.2016.7738000

Google Scholar

[18] S. Broumi, M. Talea. A. Bakkali and F. Smarandache: Single Valued Neutrosophic Graph, in: Journal of New Theory, N 10, 68-101 (2016).

DOI: 10.4028/www.scientific.net/amm.841.184

Google Scholar

[19] W. B. Vasantha Kandasamy and F. Smarandache: Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps (USA, 2013).

Google Scholar

[20] W. B. Vasantha Kandasamy, K. Ilanthenral and Florentin Smarandache: Neutrosophic Graphs: A New Dimension to Graph Theory (Kindle Edition, 2015).

Google Scholar

[21] W.B. Vasantha Kandasamy and F. Smarandache: Analysis of social aspects of migrant laborers living with HIV/AIDS using Fuzzy Theory and Neutrosophic Cognitive Maps (Xiquan, Phoenix, USA, 2004).

Google Scholar

[22] More information on http: /fs. gallup. unm. edu/NSS.

Google Scholar