On Edge Irregular Fuzzy Graphs

In this paper, edge irregular fuzzy graphs, edge totally irregular fuzzy graphs, highly edge irregular fuzzy graphs, highly edge totally irregular fuzzy graphs are introduced. Some properties of an edge irregular fuzzy graph and highly edge irregular fuzzy graphs are discussed in this paper. Edge irregularity and highly edge irregularity on some fuzzy graphs whose underlying crisp graphs are a cycle, a path, a star, a barbell graph are also studied.