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International Journal of Neutrosophic Science
Volume 11 , Issue 2, PP: 108-114 , 2020 | Cite this article as | XML | Html |PDF

Title

Pythagorean Neutrosophic Fuzzy Graphs

  D. Ajay 1 ,   P. Chellamani 2

1  Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur – 635 601, Tirupattur District, Tamil Nadu, INDIA
    (dajaypravin@gmail.com)

2  Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur – 635 601, Tirupattur District, Tamil Nadu, INDIA
    (joshmani238@gmail.com)

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Doi   :   https://doi.org/10.54216/IJNS.0110205

Received: July 18, 2020 Accepted: Octobre 20, 2020

Abstract :

In this paper, we present the new idea of pythagorean neutrosophic fuzzy graphs (PNFG). Pythagorean neutrosophic set [PNS] is a generalization of neutrosophic set with dependent neutrosophic components and Pythagorean fuzzy set with condition 0≤〖μ_A (x)〗^2+〖β_A (x)〗^2+〖σ_A (x)〗^2≤2 . The main aim of this article is to apply pythagorean neutrosophic  set to fuzzy graphs. Thus we extend some of the basic properties for this PNFG along with few examples.

Keywords :

 

Pythagorean neutrosophic set , Pythagorean neutrosophic graphs , Neutrosophic set.

 

References :

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[13] Ajay, D., Broumi, S., & Aldring, J., “An MCDM Method under Neutrosophic Cubic Fuzzy Sets with Geometric Bonferroni Mean Operator”, Neutrosophic Sets and Systems, Vol 32(1), pp.187-202, 2020.

[14] Ajay, D., Manivel, M., & Aldring, J., “Neutrosophic Fuzzy SAW Method and It’s Application”, Vol 11, pp.881-887, 2019.

[15] Ajay, D., Aldring, J., Abirami, S., & Jeni Seles Martina, D., “A SVTrN-number approach of muliti-objective optimization on the basis of simple ration analysis based on MCMD method”, International Journal of Neutrosophic Science, Vol 5(1), 16-28, 2020.

[16] Ajay, D., & Aldring, J., “A Decision Making Technique Based on Similarity Measure and Entropy of Bipolar Neutrosophic Sets”, The International journal of analytical and experimental modal analysis, Vol 11(9), pp.520-529, 2019.

[17] Mullai, M., Broumi, S., & Jeyabalan, R., “Homomorphism and Isomorphism in strong neutrosophic graphs”, International Journal of Neutrosophic Science, Vol 0, pp.08-20, 2020.

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Cite this Article as :
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MLA D. Ajay, P. Chellamani. "Pythagorean Neutrosophic Fuzzy Graphs." International Journal of Neutrosophic Science, Vol. 11, No. 2, 2020 ,PP. 108-114 (Doi   :  https://doi.org/10.54216/IJNS.0110205)
APA D. Ajay, P. Chellamani. (2020). Pythagorean Neutrosophic Fuzzy Graphs. Journal of International Journal of Neutrosophic Science, 11 ( 2 ), 108-114 (Doi   :  https://doi.org/10.54216/IJNS.0110205)
Chicago D. Ajay, P. Chellamani. "Pythagorean Neutrosophic Fuzzy Graphs." Journal of International Journal of Neutrosophic Science, 11 no. 2 (2020): 108-114 (Doi   :  https://doi.org/10.54216/IJNS.0110205)
Harvard D. Ajay, P. Chellamani. (2020). Pythagorean Neutrosophic Fuzzy Graphs. Journal of International Journal of Neutrosophic Science, 11 ( 2 ), 108-114 (Doi   :  https://doi.org/10.54216/IJNS.0110205)
Vancouver D. Ajay, P. Chellamani. Pythagorean Neutrosophic Fuzzy Graphs. Journal of International Journal of Neutrosophic Science, (2020); 11 ( 2 ): 108-114 (Doi   :  https://doi.org/10.54216/IJNS.0110205)
IEEE D. Ajay, P. Chellamani, Pythagorean Neutrosophic Fuzzy Graphs, Journal of International Journal of Neutrosophic Science, Vol. 11 , No. 2 , (2020) : 108-114 (Doi   :  https://doi.org/10.54216/IJNS.0110205)
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