International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/4234 2020 2020 Mathematics Department, Faculty of Science, Applied Science Private University, Amman, Jordan Eman Eman Mathematics Department, Science College, Philadelphia University, Amman, Jordan Ghada Alafif Department of Basic Sciences, Al-Zarqa University College, Al-Balqa Applied University, Zarqa 313, Jordan Eman A. AbuHijleh Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, Jordan Firas Safi The goal of this paper is to study complex fuzzy soft graph (CFSG). We introduce the concept of complex fuzzy soft graph from apply complex fuzzy set on fuzzy soft graph. The notations and definitions of some operations on two complex fuzzy soft graphs presented such as union, cartesian product, tensor product, normal product and composition of two complex fuzzy soft graphs. Also, a decision-making (DM) problem on supply chain management is discussed. 2025 2025 414 425 10.54216/IJNS.260331 https://www.americaspg.com/articleinfo/21/show/4234