Some Notions of Picture Fuzzy Graphs

Abstract

In this thesis, we first present the concept of Picture Fuzzy Graphs (PFGs), which is the generalization of the intuitionistic fuzzy graphs (IFGs). Then we discuss some operations on of Picture Fuzzy Graphs (PFGs), including cartesian product of Picture Fuzzy Graphs (PFGs), composition of Picture Fuzzy Graphs (PFGs), union and join of Picture Fuzzy Graphs (PFGs), direct product of Picture Fuzzy Graphs (PFGs), and lexicographic product of Picture Fuzzy Graphs (PFGs). Finally, we discussed application of Picture Fuzzy social network (PFSN).