We introduce the notion of the degree of incidence of a vertex and an edge in a fuzzy graph into fuzzy graph theory. We concentrate on incidence, where the edge is adjacent to the vertex. We determine results concerning incidence cutvertices, incidence cutpairs, fuzzy incidence paths, fuzzy incidence trees for fuzzy incidence graphs.

fuzzy graph, fuzzy incidence graph, incidence cutvertices, incidence cutpairs, fuzzy incidence paths, fuzzy incidence tree.