217 119
Full Length Article
volume 11 , Issue2, PP: 108-114 , 2020

Title

Pythagorean Neutrosophic Fuzzy Graphs

Authors Names :   D. Ajay   1     P. Chellamani   2  

1  Affiliation :  Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur – 635 601, Tirupattur District, Tamil Nadu, INDIA

    Email :  dajaypravin@gmail.com


2  Affiliation :  Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur – 635 601, Tirupattur District, Tamil Nadu, INDIA

    Email :  joshmani238@gmail.com



Doi   :  10.5281/zenodo.4172124

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

Abstract :

Keywords :

 

Pythagorean neutrosophic set , Pythagorean neutrosophic graphs , Neutrosophic set.

 

References :

[1]  Zadeh, L.A., “Fuzzy Sets”, Inform. and Control, Vol 8, pp.338- 353, 1965.

 

[2]  Atanassov, K., “Intuitionistic Fuzzy Sets”, Fuzzy Sets and Systems, Vol 20, pp.87-96, 1986.

 

[3]  Yager, R.R., “Pythagorean Fuzzy Subsets”, In:Proc Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, pp.57-61, 2013.

 

[4]  Smarandache, F., “A Unifying Field in Logics: Neutrosophic Logic, Neutrosophy, Neutrosophic Set, Neutrosophic Probability”, American Research Press: Rehoboth, DE, USA, pp.1-141, 1999.

 

[5]  Jansi, R., Mohana, R.K., & Smarandache, F., “Correlation Measure for Pythagorean Neutrosophic Fuzzy Sets with T and F as Dependent Neutrosophic Components”, Neutrosophic Sets and Systems, Vol 30(1), pp.202-212, 2019.

 

[6]  Ajay, D., Charisma, J. J., & Chellamani, P., “Fuzzy Magic and Bi-magic Labelling of Intuitionistic Path Graph”, International Journal of Recent Technology and Engineering, Vol 8(4), pp.11508-11512, 2019.

 

[7]  Ajay, D., & Chellamani, P., “Fuzzy Magic Labelling of Neutrosophic Path and Star graph”, Advances in Mathematics: Scientific Journal Vol 9(8), pp.6059-6070, 2020.

 

[8]  Hussain, S.S., Hussain, R.J., Jun, Y.B., & Smarandache, F., “Neutrosophic bipolar vague set and its application to neutrosophic bipolar vague graphs”, Neutrosophic Sets and Systems, Vol 28, pp.69-86, 2019.

 

[9]  Hussain, S.S., Hussain, R.J., & Muhiuddin, G., “Neutrosophic Vague Line Graphs”, Neutrosophic Sets and Systems, Vol 36, pp.121-130. 2020.

 

[10]                  Hussain, S.S., Hussain, R.J., & Smarandache, F., “On neutrosophic vague graphs”, Neutrosophic Sets and Systems, Vol 28, pp.245-258, 2019.

 

[11]                  Dhavaseelan, R., Jafari, S., Farahani, M.R., & Broumi, S., “On single-valued co-neutrosophic graphs”, Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 22/2018, 22. 2018.

 

[12]                  Akram, M., Khan, A., & Borumand Saeid, A., “Complex Pythagorean Dombi fuzzy operators using aggregation operators and their decision‐making”, Expert Systems, pp.1-28, 2020.

 

[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.

 

[18]                  Mullai, M., & Broumi, S., “Dominating energy in neutrosophic graphs”, International Journal of Neutrosophic Science, Vol 5(1), pp.38-58, 2020.