Dombi Fuzzy Graphs

A fuzzy graph is useful in representing structures of relationships between items where the existence of a concrete item (vertex) and relationship between two items (edge) are matters of degree. In this paper, the novel concept of Dombi fuzzy graph is introduced. We shall use graph terminology and introduce fuzzy analogs of several basic graph-theoretical concepts using Dombi operator. Moreover, we consider these results on Dombi fuzzy graphs preserving strong property.