International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/624 2020 2020 Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur – 635 601, Tirupattur District, Tamil Nadu, INDIA admin admin Department of Mathematics, Sacred Heart College (Autonomous), Tirupattur – 635 601, Tirupattur District, Tamil Nadu, INDIA P. Chellamani 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. 2020 2020 108 114 10.54216/IJNS.0110205 https://www.americaspg.com/articleinfo/21/show/624